Mauro Giovannini1, Ivan Čurlík2, Riccardo Freccero1, Pavlo Solokha1, Marian Reiffers2,3, Julian Sereni4. 1. Department of Chemistry, University of Genova, Via Dodecaneso 31, 16146 Genova, Italy. 2. Faculty of Humanities and Natural Sciences, University of Prešov, 17 Novembra 1, 080 01 Prešov, Slovakia. 3. Institute of Experimental Physics, Slovak Academy of Science, Watsonova 47, 040 01 Košice, Slovakia. 4. Department of Physics, CAB-CNEA, CONICET, IB-UNCuyo, 8400 S. C. de Bariloche, Argentina.
Abstract
The new intermetallic compound Eu2Pd2Sn has been investigated. A single crystal was selected from the alloy and was analyzed by single-crystal X-ray diffraction, revealing that this compound possesses the noncentrosymmetric Ca2Pd2Ge structure type being, so far, the only rare-earth-based representative. Bonding analysis, performed on the basis of DOS and (I)COHP, reveals the presence of strong covalent Sn-Pd bonds in addition to linear and equidistant Pd-Pd chains. The incomplete ionization of Eu leads to its participation in weaker covalent interactions. The magnetic effective moment, extracted from the magnetic susceptibility χ(T) is μeff = 7.87 μB, close to the free ion Eu2+ value (μeff = 7.94 μB). The maximum of χ(T) at TN ∼ 13 K indicates an antiferromagnetic behavior below this temperature. A coincident sharp anomaly in the specific heat CP(T) emerges from a broad anomaly centered at around 10 K. From the reduced jump in the heat capacity at TN a scenario of a transition to an incommensurate antiferromagnetic phase below TN followed by a commensurate configuration below 10 K is suggested.
The new intermetallic compound Eu2Pd2Sn has been investigated. A single crystal was selected from the alloy and was analyzed by single-crystal X-ray diffraction, revealing that this compound possesses the noncentrosymmetric Ca2Pd2Ge structure type being, so far, the only rare-earth-based representative. Bonding analysis, performed on the basis of DOS and (I)COHP, reveals the presence of strong covalent Sn-Pd bonds in addition to linear and equidistant Pd-Pd chains. The incomplete ionization of Eu leads to its participation in weaker covalent interactions. The magnetic effective moment, extracted from the magnetic susceptibility χ(T) is μeff = 7.87 μB, close to the free ion Eu2+ value (μeff = 7.94 μB). The maximum of χ(T) at TN ∼ 13 K indicates an antiferromagnetic behavior below this temperature. A coincident sharp anomaly in the specific heat CP(T) emerges from a broad anomaly centered at around 10 K. From the reduced jump in the heat capacity at TN a scenario of a transition to an incommensurate antiferromagnetic phase below TN followed by a commensurate configuration below 10 K is suggested.
Intermetallic compounds
based on rare earth elements, such as Ce,
Eu, and Yb with different configurations of their f-electrons, show
a wealth of fascinating properties.[1−3] These systems are potentially
interesting mainly due to the anomalous properties of these three
rare earths, which are not always in the trivalent (3+) state like
the majority of other rare earths. An interesting case comprises compounds
based on Eu2+ (and, analogously, Gd3+) with
a pure spin configuration of J = S = 7/2 and L = 0, which show the absence of crystal
electric field (CEF) effects. Surprisingly, instead of a negligible
magnetic anisotropy, Eu intermetallics frequently exhibit a complex
and strongly anisotropic magnetism.[4,5] In some cases,
namely for EuNiGe3 and EuPdSn, despite the substantial
neutron absorption of Eu, a large-area flat-plate geometry was used
to thoroughly investigate the magnetic structure of Eu-based intermetallics.
In both compounds, a complex incommensurate antiferromagnetic scenario
with a thermal evolution of the magnetic structure was described in
detail.[6,7]Several other compounds belonging
to the Eu–Pd–Sn
system have been studied, namely Eu3Pd2Sn2, EuPdSn2, EuPd2Sn4, and
EuPd2Sn2, all showing a stable Eu2+ magnetic state and complex magnetic structures.[8−10]From
the perspective of compositions and crystal structures, we
dedicated some systematic work to the study of the R2Pd2X (R = Ce, Yb; X = In, Sn) compounds with the tetragonal Mo2FeB2 structure type.[11,12] The Mo2FeB2 structure is the most representative (more
than 200 compounds) of the systems with the general composition (AE/R)2T2X (AE = alkaline earth metals or R = lanthanide
block, T = late transition metals, and X = Mg, Zn, Cd, Al, Ga, In,
Sn, Pb). Due to the remarkable electronic flexibility of this group,
many of the compounds crystallizing in the Mo2FeB2 type exhibit outstanding physical properties.[13−15] Notably, no
representative of this structure type is known with divalent rare
earth metals like Eu and only a few containing Yb[16,17] or the chemically similar alkaline earth metals. This is probably
due to the bigger sizes of these metals, which stabilize other structure
types. For instance, there are only two 2:2:1 Eu compounds, namely,
Eu2Pd2In and Eu2Pt2In,
crystallizing in the monoclinic HT-Pr2Co2Al
type with distinctly different polyanionic networks.[18] The same occurs replacing Eu by Ca or Sr, whereas Ca2Pd2Cd forms with a W2B2Co-type
structure.[19]In the present work,
we report on the existence of a third Eu compound
of the 2:2:1 family, namely Eu2Pd2Sn, which
crystallizes in the noncentrosymmetric orthorhombic Ca2Pd2Ge-type structure. Noteworthy, Eu2Pd2Sn is the only rare-earth representative of this structure
type. Moreover, magnetic systems lacking inversion symmetry are a
materials class of special interest, because the antisymmetric Dzyaloshinskii–Moriya
(DM) interactions are allowed and they may stabilize magnetic structures
with a unique chirality and nontrivial topology.[20] Therefore, we have investigated the structural, magnetic,
electrical, and thermal properties and electronic structure of this
compound.
Experimental Section
Sample Preparation
The metals used as starting materials
were palladium (foil, 99.95 mass% purity, Chimet, Arezzo, Italy),
tin (bar, 99.999 mass% purity, New Met Koch, Waltham Abbey, U.K.),
europium (pieces, 99.99% mass, Smart-Elements GmbH, Vienna, Austria).
The sample, with a total weight of 1 g, was prepared by weighting
in a glovebox under Ar atmosphere the proper amount of elements by
using an analytical balance.In order to avoid the loss of europium
during melting due to its high vapour pressure, the stoichiometric
amount of the starting elements was enclosed in a small tantalum crucible
sealed by arc welding in inert atmosphere inside the glovebox. The
sample was subsequently melted in an induction furnace under a stream
of pure argon. To ensure homogeneity, the crucible was continuously
shaken during melting. The sample was then annealed in a resistance
furnace for 1 week at 900 °C and finally quenched in cold water.The sample was characterized by scanning electron microscopy (SEM)
supplied by Carl Zeiss SMT Ltd., Cambridge, England, and by electron
probe microanalysis (EPMA) based on energy dispersive X-ray spectroscopy.
For quantitative analysis an acceleration voltage of 20 kV was applied
for 100 s, and a cobalt standard was used for calibration. The X-ray
intensities were corrected for ZAF effects.
Single-Crystal X-ray Diffraction
Analysis
An Eu2Pd2Sn single crystal
was selected from the alloy
with the aid of a light optical microscope (Leica DM4000 M, Leica
Microsystems Wetzlar GmbH, Wetzlar, Germany) operating in the dark-field
mode. A full-sphere data set was obtained in a routine fashion under
ambient conditions on a three-circle Bruker Kappa APEXII CCD area-detector
diffractometer equipped with graphite monochromatized Mo Kα
(λ = 0.71073 Å) radiation operating in ω-scan mode.
Intensities were collected over the reciprocal space up to ∼30°
in θ, with an exposure time of 30 s per frame. Semiempirical
absorption corrections based on a multipolar spherical harmonic expansion
of equivalent intensities were employed for all data using the SADABS
software.[21] Details about the crystal structure
solution and refinement are reported in the Results
and Discussion section.
Electronic Structure Calculations
The Eu2Pd2Sn electronic structure was studied
by means of the
TB-LMTO-ASA 4.7c program,[22,23] employing the Barth–Hedin[24] exchange and correlation potential within the
local density approximation (LDA). The space filling was reached without
the addition of interstitial empty spheres. The calculations were
performed with the following atomic spheres radii: r(Eu) = 2.133 Å, r(Sn) = 1.616 Å, r(Pd) = 1.431 Å. The basis set included Eu-6s/6p/5d, Sn-5s/5p/5d/4f, and
Pd-5s/5p/4d/4f orbitals, with Eu-6p, Sn-5d/4f, and Pd-4f functions being
downfolded. The Eu 4f wave functions were treated
as core states occupied by 7 electrons which results in formal Eu(II)
valence, consistent with physical properties measurements. The Brillouin
zone was sampled through a set of 1160 irreducible k-points out of 4096.Chemical bonding investigations were conducted
on the basis of the obtained density of states (DOS), crystal orbital
Hamilton populations (COHP), and their integrated values (ICOHP) up
to the EF; the corresponding curves were
plotted with the wxDragon software.[25]
Magnetic and Thermal Measurements
Magnetic susceptibility,
magnetization, heat capacity, and electrical resistivity were measured
by the cryogen-free physical property measurements system DYNACOOL
commercial device (Quantum Design) in the temperature range of 2–300
K and in an applied field up to 9 T. For heat capacity measurements
the two-τ model of the relaxation method was used. Electrical
resistivity was carried out using a standard four-probe technique.
Results and Discussion
Crystal Structure of Eu2Pd2Sn
Structure refinement parameters together with
selected crystallographic
data for the studied Eu2Pd2Sn single crystal
are listed in Table . Further details on the crystal structure investigations may be
obtained from the Cambridge Structural Database on quoting the depository
number also indicated in Table .
Table 1
Crystallographic Data and Experimental
Details of the Structure Determination for the Eu2Pd2Sn Single Crystal
empirical formula
Eu2Pd2Sn
CSD depository number
1975626
structure type
Ca2Pd2Ge
space
group
Fdd2 (no. 43)
Pearson symbol, Z
oF40, 8
hkl range
±14; ±23; ±8
unit cell dimensions:
a, Å
10.4741(4)
b, Å
16.0712(6)
c, Å
5.8718(2)
V, Å3
988.41(6)
calcd density (Dcalc, g cm–3)
8.54
abs. coefficient (μ, mm–1)
36.93
extinction coefficient
0.00049(2)
Flack parameter
0.033(15)
total no. reflections
7940
GOF
1.1
independent reflections
846 (Rint = 0.0152)
reflections with I > 2σ(I)
799 (Rsigma = 0.0253)
data/parameters
26/846
R indices (I > 2σ(I)); R1/wR2
0.0109/0.0123
R indices (all data)
0.0197/0.0200
Δρfin (max/min), e nm–3 (× 103)
0.66/–0.60
Cell indexation was
straightforward for Eu2Pd2Sn, giving an orthorhombic F-centered cell (h + k = 2n; k + l = 2n,
and h + l = 2n reflections
were observed). The
analysis of systematic extinctions suggests the only possible space
group Fdd2 (no. 43). A chemically reasonable structural
model was obtained in a few iteration cycles by applying the charge-flipping
algorithm implemented in JANA2006.[26] In
this model the rare earth and Pd atoms are situated in different 16b sites of general symmetry, whereas the remaining Sn atoms
occupy the 8a site.Further structure refinements
were carried out by full-matrix least-squares
methods on |F2| using the SHELX programs[27] as implemented in WinGX.[28] The anisotropically refined Eu2Pd2Sn model showed acceptable residuals and flat difference Fourier
maps. The absolute structure for Eu2Pd2Sn was
ensured through the refinement of the Flack parameter. Obtained atomic
positions and equivalent isotropic displacement parameters are listed
in Table .
Table 2
Atomic Positions and Equivalent Isotropic
Displacement Parameters for Eu2Pd2Sn
atom
site
x/a
y/b
z/c
Uiso (Å2)
Eu
16b
0.16851(2)
0.04827(2)
0.08315(8)
0.0119(1)
Sn
8a
1/2
0
0.08963(8)
0.0095(1)
Pd
16b
0.66749(3)
0.12492(2)
0.07505(6)
0.0133(1)
As already
mentioned in the Introduction, there are several
2:2:1 stoichiometry structural types that count
with hundreds of representatives (for example, Mo2FeB2, W2CoB2, etc.). Two dozen compounds
of the general formula (AE/R)2T2X crystallize
either in mS40-Ca2Ir2Si (SG: C2/c) or in oF40-Ca2Pd2Ge structure type (SG: Fdd2).
They contain similar structural fragments and the same local arrangement
for analogous species.[29] Moreover, for
Sr2Pd2Al the possibility that both polymorphs
with the above-mentioned structure exist was reported.[30] Despite a detailed structural description of
these compounds, an alternative presentation, highlighting the crystal
chemical similarities, might be conducted to exploit the idea of rod
packings extensively applied by ÒKeeffe.[31] The clarity of the crystal chemistry representation when
the “rods” of atoms are considered as a structural moiety
was also shown for several intermetallic compounds.[32,33] Here, we would like to use this idea to depict the structural features
of the title compound. It is well-known that one of the closest packings
of undistorted cylinders is the tetragonal base centered one of I41/amd symmetry. With a distortion
of the rod fragment, naturally, the total number of symmetry elements
reduces and the obtained derivative structures may not necessarily
follow group–subgroup relations, as it was emphasized by Doverbratt
et al.[29] for Ca2Pd2Ge and Ca2Pt2Ge (see scheme I in Figure ).
Figure 1
(I) Schematic representation
of body-centered tetragonal layer
packing of regular cylinders and its distortion variant; (II) crystal
structure of Eu2Pd2Sn: (a) packing and relative
orientation of the Pd linear chains, (b) spatial distribution of SnPd4 distorted tetrahedra joining adjacent Pd chains, (c) unique
cylinder-like structural fragment of Eu2Pd2Sn
composition, and (d) Eu2Pd2Sn unit cell projection
viewed along the [101] direction highlighting the complex Pd–Sn
network and distribution of Eu atoms.
(I) Schematic representation
of body-centered tetragonal layer
packing of regular cylinders and its distortion variant; (II) crystal
structure of Eu2Pd2Sn: (a) packing and relative
orientation of the Pd linear chains, (b) spatial distribution of SnPd4 distorted tetrahedra joining adjacent Pd chains, (c) unique
cylinder-like structural fragment of Eu2Pd2Sn
composition, and (d) Eu2Pd2Sn unit cell projection
viewed along the [101] direction highlighting the complex Pd–Sn
network and distribution of Eu atoms.For Eu2Pd2Sn the most remarkable structural
feature is the presence of almost linear Pd–Pd chains where
palladium atoms are distanced at 3.002 Å (similarly as in Sr2Pd2Al).[30] These chains
could be considered as the axis of Eu2Pd2Sn
rods shown in Figure 1a–c. The rod itself as well as the crystal structure do
not possess inversion symmetry elements; this feature makes Eu2Pd2Sn attractive for magnetic interactions studies.
The dihedral angle between two chains from adjacent layers is ca.
65.2°. The Pd chains are fused between themselves through Sn
bridging atoms in the form of strongly distorted SnPd4 tetrahedra
(their distribution finally defines the symmetry of the compound,
see Figure b). The
interatomic Sn–Pd distances of ∼2.67 Å are close
to the sum of the constituent’s covalent radii, indicating
strong interactions, as discussed more in detail in the next paragraph.
Far from the center, each rod fragment is enveloped by the biggest
Eu atoms as shown in Figures c and 1d. The Eu–Pd contacts
vary between 3.14 and 3.27 Å; the Eu–Sn ones are distanced
at 3.48–3.65 Å, whereas Eu–Eu atoms are distanced
by 3.73, 3.86, and 3.89 Å between first, second, and third neighbors,
respectively.
Figure 5
(a) Isothermal magnetization M(B) of Eu2Pd2Sn at some selected temperatures
from 2 to 82 K. (b) Zero-field electrical resistivity between room
temperature and 2 K normalized at room temperature. Inset: detail
of the ρ(T) curvature above the magnetic transition.
Chemical Bonding
This is the third
intermetallic compound,
together with Ca2Pd2Ge[29] and Sr2Pd2Al,[30] crystallizing in the oF40-Ca2Pd2Ge structure (SG: Fdd2). Since DOS/COHP-based
chemical bonding studies were already performed for both of the previously
reported compounds, a comparative analysis is appropriate, in particular
with the isovalent Ca2Pd2Ge. All of them show
very similar DOS (see Figure for Eu2Pd2Sn), with the EF located in a deep pseudogap for both Eu2Pd2Sn and Ca2Pd2Ge compounds. In the case
of Sr2Pd2Al, the reduced number of valence electrons
(28 vs 27 v.e. per formula unit) push the EF close to a local maximum.[30]
Figure 2
Calculated
total and projected density of states (pDOS) for Eu2Pd2Sn.
Calculated
total and projected density of states (pDOS) for Eu2Pd2Sn.The lowest-lying states in Eu2Pd2Sn are mainly
the Sn-4s (for all the orbital pDOS see the Supporting Information). The
large peak between −4 and −2 eV is primarily dominated
by Pd-4d states considerably mixing with the Sn-4p and Eu states, suggesting polar covalent interactions.
The presence of a strong Eu contribution to the occupied states is
clear evidence of its incomplete ionization and participation in chemical
bonding, which is a quite common feature for ternary RE-tetrelides.[34−37] The COHP curves (see the Supporting Information) and ICOHP values (see Table and the Supporting Information) show only a few differences that can be highlighted and discussed
between Eu2Pd2Sn and Ca2Pd2Ge.
Table 3
Selected Distances and Average −ICOHP
Values for Eu2Pd2Sn and Ca2Pd2Ge[29]
Eu2Pd2Sn
Ca2Pd2Ge
atom pair
distances (Å)
–ICOHP (eV/bond)
atom pair
distances (Å)
–ICOHP (eV/bond)
Sn–Pd
2.668(1) and 2.684(1)
1.91
Ge–Pd
2.493(1) and 2.523(1)
2.23
Pd–Pd
3.002(1)
0.85
Pd–Pd
2.8721(1)
0.99
Eu–Sn
3.481(1) to 3.645(1)
0.55
Ca–Ge
3.285(2) to 3.541(1)
0.50
Eu–Pd
3.140(1) to 3.271(1)
0.63
Ca–Pd
3.022(2) to 3.164(1)
0.64
In both cases, the strongest interactions
are those between Pd
and the tetrel elements (Ge and Sn). For the title compound this value
is smaller (−1.91 eV) than in Ca2Pd2Ge
(−2.23 eV), probably due to the longer Pd–Sn distances
compared to the Pd–Ge ones. The same is also true for the Pd–Pd
bonding, where a distance increase of about 0.13 Å leads to a
reduced ICOHP, lowering from −0.99 to −0.85 eV. Almost
the same ICOHP value (−0.84 eV) was obtained also in Sr2Pd2Al where the Pd–Pd distance is 3.031
Å, confirming that Pd atoms are still bonded. Finally, focusing
on the interactions of the most electropositive elements (Eu and Ca)
with their neighboring species, only tiny differences can be pointed
out. In particular, although Eu and Sn are about 0.15 Å further
than Ca and Ge, they show almost the same ICOHP values. Interestingly,
both Eu–Sn and Eu–PdCOHP curves are practically optimized
at EF, without any occupied antibonding
state.Ca2Pd2Ge was described as a Zintl-like
phase,
according to the ionic (Ca2+)2(Pd0)2Ge4– formula, predicting semimetallic
properties based on the performed DFT calculations.[29] Despite the similar bonding scenario, the description of
Eu2Pd2Sn as a semimetallic Zintl-like compound
seems not to be appropriate. Although electroneutrality is similarly
respected by the formula (Eu2+)2(Pd0)2Sn4–, it is too far from the revealed
bonding scenario. For a typical ionic and Zintl phase, where a more
effective charge separation occurs, the real situation is much closer
to the formal one (i.e., Na+Cl–; K+[(2b)As–] – 2b = “two bonded”). It is not the case for
the title compound. In fact, the strongest interactions are the polar
covalent Sn–Pd ones, clearly evidencing how approximated the
formal assumption of (0b)Sn4– species
is. Finally, the DOS has low but nonzero states at EF, and the electrical resistivity measurements (see Figure b) indicate a metallic
behavior.
Magnetic Properties
As displayed in the inset of Figure , the inverse magnetic
susceptibility 1/χ(T) of Eu2Pd2Sn in the paramagnetic region follows the Curie–Weiss
law. The least-squares fitting above 60 K gave an effective moment
of μeff = 7.87 μB and a paramagnetic
Curie–Weiss temperature θp of 19.2 K. The
magnitude of μeff is close to the free ion Eu2+ value (μeff = 7.94 μB),
whereas the positive value of θp reflects ferromagnetic
interactions. Nevertheless, the sharp maximum at 13.3 K (see Figure ) of the magnetic
susceptibility is symptomatic of antiferromagnetic ordering, although
a more complex magnetic structure cannot be excluded while also taking
into account the positive value of θp data.
Figure 3
Temperature
dependence of the magnetic susceptibility χ(T) of Eu2Pd2Sn in an applied magnetic
field of B = 1 T, measured in zero-field cooling
(ZFC) mode. The inset displays the inverse magnetic susceptibility
1/χ (the blue dash-dotted line represents the Curie–Weiss
law fitting).
Temperature
dependence of the magnetic susceptibility χ(T) of Eu2Pd2Sn in an applied magnetic
field of B = 1 T, measured in zero-field cooling
(ZFC) mode. The inset displays the inverse magnetic susceptibility
1/χ (the blue dash-dotted line represents the Curie–Weiss
law fitting).Figure presents
the χ(T) data in the range of 2–25 K
for different magnetic fields. For all the curves, by increasing B the maxima shift to lower temperatures.
Figure 4
Low-temperature χ(T) dependences of Eu2Pd2Sn for different
magnetic fields. In the inset
the χ(T) plots of ZFC/FC regimes measured for B = 1 and 2 T are compared.
Low-temperature χ(T) dependences of Eu2Pd2Sn for different
magnetic fields. In the inset
the χ(T) plots of ZFC/FC regimes measured for B = 1 and 2 T are compared.For the lowest applied field of B = 0.5 T, a
maximum at 13.3 K can be observed, followed by an emerging shoulder
at 10 K. This effect reinforces in strengthened magnetic fields, producing
a broad maximum around the same temperature for B = 1 T and a splitting of both maxima at 1.75 T. Then, for B = 3 T, the lower-temperature shoulder practically vanishes.
At the same field, χ(T) continuously increases
by decreasing temperature and then shows a broad hump at around 3.5
K. Therefore, the magnetic phase boundary of Eu2Pd2Sn cannot be described as purely antiferromagnetic (AFM) because
another component is involved in the formation of the maximum of the
magnetic susceptibility.The isothermal magnetization M(B) curves at temperatures
ranging from 2 to 82 K are shown in Figure a. Whereas the
curves at 82 and 60 K show paramagnetic behavior, those below 30 K
exhibit an increasing curvature which transforms into a significant
shoulder below 12 K. The saturation value Msat ∼ 6.85 μB/Eu atom (close to the theoretical
saturation value of 7 μB/Eu atom for Eu2+) is reached at T > 4 K for B >
6 T. Notably, a slight positive curvature is observed in the M(B) isotherm at 2 K for magnetic field values between 1
and 2 T, followed by the rapid saturation in the magnetization for B > 3.5 T. This feature is also observed in other Eu2+ intermetallics (like EuPtSi and EuPtGe[38]) described as noncentrosymmetric frustrated systems dominated
by DM interactions.(a) Isothermal magnetization M(B) of Eu2Pd2Sn at some selected temperatures
from 2 to 82 K. (b) Zero-field electrical resistivity between room
temperature and 2 K normalized at room temperature. Inset: detail
of the ρ(T) curvature above the magnetic transition.The strong increase of M(B) observed
in Figure a and the
maximum of M(T) at TN look conflicting in terms of a FM or AFM description
of the magnetically ordered phase. This scenario can be expected in
a FM system presenting domain walls pinning. However, the lack of
coercive effects in M(B) loops (not
shown) at low temperature (i.e., 2 K) excludes such possibility. Noncollinear
or modulated magnetic order may be considered for this anisotropic
compound from which different types of behavior may occur in different
crystallographic directions. Similar behaviors of complex and strongly
anisotropic magnetism were found in other known Eu intermetallics.[4−9] Interestingly, there is only a weak difference detected between
ZFC and FC measurements below TN up to B = 1 T, while at B = 2 T a clear separation
of those curves occurs (see inset of Figure ). This suggests the formation of field-induced
FM regions within the system in an external field of 2 T as an intrinsic
property of its magnetic structure.The normalized temperature
dependence of the electrical resistivity
of Eu2Pd2Sn is presented in Figure b. The residual resistivity
ratio RRR ∼ 10 indicates a rather acceptable quality of the
polycrystalline sample. The ρ(T) decreases
monotonously with decreasing temperature as occurs in ordinary metals.
In the inset, the low-temperature region of the electrical resistivity
does not exhibit the expected cusp for an antiferromagnetic transition.
Instead, a tail develops up to about 60 K, and above this temperature,
the resistivity becomes linear. Below the transition, a slight change
of slope is observed around 10 K, in correspondence with the broad
anomaly observed in CP/T (see Figure ). Since
below that temperature ρ(T) follows a nearly
linear T dependence, the change of slope may be related
to a change of electronic scattering regime, from one dominated by
critical fluctuations (around TN) to a
coherent one at lower temperature.
Figure 6
Temperature dependence of heat capacity
divided by temperature, CP/T, of Eu2Pd2Sn for different magnetic fields.
Temperature dependence of heat capacity
divided by temperature, CP/T, of Eu2Pd2Sn for different magnetic fields.Specific heat measurements as a function of temperature,
depicted
as CP/T, are reported
in Figure for different
applied magnetic fields up to B = 3 T. In zero magnetic
field, a sharp peak around 13.4 K is related to the antiferromagnetic
transition shown in χ(T). This peak seems to
emerge from a broad anomaly centered at around 10 K. Notably, similar
narrow peaks are found in the heat capacity measurements of other
noncentrosymmetric Eu compounds, either in isotropic compounds like
in EuPtX (X = Si, Ge)[38] or in anisotropic
structures such as EuPtSi3[39] and EuNiGe3.[40] In the first
case it was attributed to strong fluctuations, whereas in the second
it was associated with an incommensurate antiferromagnetic intermediate
phase that is followed by a commensurate phase transition at ∼10
K.[40] Also in the case of Eu2Pd2Sn, it can be attributed to a rearrangement of the
Eu magnetic structure which correlates with the tiny anomalies found
in the magnetic susceptibility and resistivity measurements at the
same temperature. In fact, the specific-heat jump at TN is estimated as ΔCP ∼ 14 J/mol K at zero field. This value is clearly smaller
than the value prediction (20 J/mol K) in the mean-field approximation
for a magnetic structure with equal moment (EM) for the 8-fold degenerated J = 7/2 ground state of Eu2+. Nevertheless, our
estimation of the value of ΔCP is
in very good agreement with the prediction (13.4 J/mol K) in the mean-field
approximation for an incommensurate amplitude modulated (AM) magnetic
structure which results in a decrease of 2/3 compared to the EM case.[39,41]Under applied magnetic fields, up to B =
1 T,
the temperature and the height of the jump ΔCP at 13.4 K are only slightly reduced, whereas for higher
fields, it transforms in a shoulder of the broad anomaly at T ∼ 10 K. This last one remains practically unaffected
by the field for B < 1 T; however, for B = 1 and 1.5 T, it shifts to lower temperature without
changing its height in CP(T). For B = 3 T, it practically smears out around
3.8 K.Finally, the broad anomaly at around 4 K is common in
Eu2+ and Gd3+ systems and is related to the
large degeneracy
of the J = 7/2 local moment.[41]The analysis of the complex behavior of the magnetically ordered
phase depicted by the specific heat in Figure can be complemented by the magnetic susceptibility
data expressed as the d(χT)/dT derivative shown in Figure . Notice that, in Figure , the specific heat is presented as CP/T, whereas the d(χT)/dT representation corresponds to the internal
magnetic energy Um derivative, i.e., Cm, excluding phonon contribution. The full magnetic
character of the transition at 13.4 K is confirmed by this result.
Compared with the specific heat results, this transition rapidly weakens
in its magnetic intensity in applied magnetic fields. However, the
hump at 10 K shows a nonmonotonous evolution with field in both temperature
position and intensity. This anomalous behavior requires a more detailed
study of this magnetic field range.
Figure 7
Temperature dependence of the d(χT)/dT derivative of Eu2Pd2Sn for selected
applied magnetic fields.
Temperature dependence of the d(χT)/dT derivative of Eu2Pd2Sn for selected
applied magnetic fields.
Conclusions
The
novel intermetallic compound Eu2Pd2Sn
has been synthesized and structurally studied by means of X-ray single-crystal
diffraction. Eu2Pd2Sn is the first rare-earth
compound crystallizing with the orthorhombic Ca2Pd2Ge structure type.The complex scenario revealed by
the study of the bonding analysis
evidences how much the Zintl-like (Eu2+)2(Pd0)2Sn4– formulation is approximated.The magnetic behavior of this compound is dominated by a robust
magnetic Eu2+ lattice. The measurements of magnetization,
resistivity, and specific heat seem to suggest a scenario of a transition
at TN from paramagnetism to an intermediate
phase which has an incommensurate amplitude modulated (AM) magnetic
structure, followed by a commensurate phase transition at around 10
K. This scenario is supported by the value of the jump of this transition
ΔCP = 14 J/mol K which is very close
to the value predicted in the case of an AM magnetic structure. Moreover,
the magnetic origin of the transition at around 10 K is supported
by the fact that it was found in all the measurements (magnetization
included). Applying a magnetic field, the incommensurate transition
seems to gradually disappear starting from values of B > 1 T, becoming a satellite of the lower temperature anomaly.
This
scenario could be demonstrated only by further suitable measurements,
in particular by neutron diffraction. Finally, the apparent contradiction
of a positive value of the paramagnetic Curie–Weiss temperature
may be attributed to exchange anisotropy or to a competition between
ferromagnetic and antiferromagnetic interactions.
Authors: L S Wu; W J Gannon; I A Zaliznyak; A M Tsvelik; M Brockmann; J-S Caux; M S Kim; Y Qiu; J R D Copley; G Ehlers; A Podlesnyak; M C Aronson Journal: Science Date: 2016-06-03 Impact factor: 47.728