Frustrated antiferromagnetic honeycomb-tunnel-like lattice<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Cu</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Ge</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>8</mml:mn></mml:msub></mml:mrow></mml:math>(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mi>Pr</mml:mi></mml:mrow></mml:math>, Nd, S

Cho, Hwanbeom; Kratochvílová, Marie; Lee, Nahyun; Sim, Hasung; Park, Je‐Geun

doi:10.1103/physrevb.96.224427

Cited by 8 publications

(7 citation statements)

References 72 publications

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“…There are many experimental works dedicated to the frustrated spin systems where they were studied by means of optical second-harmonic spectroscopy, measurements of magnetization, susceptibility and specific heat, resistivity measurements, synchrotron X-rays and neutron diffraction, Mössbauer technique etc. [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23]. The results of these experiments turn out to be rather contradictory.…”

Section: Introductionmentioning

confidence: 96%

Six-loop ε expansion study of three-dimensional O(n)×O(m) spin models

2020

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The Landau-Wilson field theory with O(n) × O(m) symmetry which describes the critical thermodynamics of frustrated spin systems with noncollinear and noncoplanar ordering is analyzed in 4 − ε dimensions within the minimal subtraction scheme in the six-loop approximation. The ε expansions for marginal dimensionalities of the order parameter n H (m, 4 − ε), n − (m, 4 − ε), n + (m, 4 − ε) separating different regimes of critical behavior are extended up to ε 5 terms. Concrete series with coefficients in decimals are presented for m = {2, . . . , 6}. The diagram of stability of nontrivial fixed points, including the chiral one, in (m, n) plane is constructed by means of summing up of corresponding ε expansions using various resummation techniques. Numerical estimates of the chiral critical exponents for several couples {m, n} are also found. Comparative analysis of our results with their counterparts obtained earlier within the lower-order approximations and by means of alternative approaches is performed. It is confirmed, in particular, that in physically interesting cases n = 2, m = 2 and n = 2, m = 3 phase transitions into chiral phases should be first-order.

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Section: Introductionmentioning

confidence: 96%

Six-loop ε expansion study of three-dimensional O(n)×O(m) spin models

2020

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“…Because the negative thermal expansion is expected to occur in the antiferromagnetic phase near the boundary to the ferromagnetic phase, the solid solution system is promising because the strength ratio |J FM |/J AF can be tuned rather continuously by varying the Zn concentration. In addition to the honeycomb-lattice antiferromagnets, magnets having edge-sharing M X 6 octahedra also provide candidate materials [57][58][59][60][61][62][63]. We expect that the present work will contribute to diversify the family of materials hosting the magnetism-induced negative thermal expansion.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…The present work provides an important guiding principle for the material search and will diversify the family of materials hosting the negative thermal expansion. There are a huge number of honeycomb lattice transition-metal compounds which exhibit antiferromagnetic and ferrimagnetic [53][54][55][56] phases or related crystal structures [57][58][59][60][61][62][63]. These compounds are candidate hosts of the magnetism-driven negative thermal expansion based on the proposed mechanism.…”

Section: Introductionmentioning

confidence: 99%

Proposed Negative Thermal Expansion in Honeycomb-Lattice Antiferromagnets

Uwabo,

Mochizuki

2021

Preprint

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We theoretically propose possible magnetism-induced negative thermal expansion in honeycomblattice antiferromagnets with edge-sharing networks of M X6 octahedra where M and X are transition-metal and ligand ions, respectively. In this crystal structure, the nearest-neighbor exchange interaction is composed of two competing contributions, i.e., the antiferromagnetic contribution from a direct 180 • M -M bond and the ferromagnetic contribution from 90 • M -X-M bonds, amplitudes of which have different bond-length dependence. Numerical analysis of the spin-lattice model of the honeycomb-lattice antiferromagnets demonstrates that the negative thermal expansion can occur when the system enters the antiferromagnetic phase with lowering temperature so as to maximize the energy gain associated with the bond-length dependent antiferromagnetic exchange interaction. The present work provides a guiding principle for searching new materials and eventually contributes to diversify the family of materials that host the negative thermal expansion originating from the spin-lattice coupling on the honeycomb lattices or related crystal structures.

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“…Finding these parameters along with critical exponents for such chiral universality class had given contradictory results in field-theoretical models compared to experiments [29,30]. Also the results of different experiments had produced a wide range of unrelated critical exponents and even the order of phase transition was found to differ for materials with same symmetry [31,32,33,34,35,36,37,38,39]. Hence initially getting precise estimates for upper marginal dimensionality n + (m = {2, 3}, 4 − ) is of physical importance to determine the type of phase transition in real systems.…”

Section: O(n) × O(m) Spin Modelsmentioning

confidence: 99%

Continued functions and Borel-Leroy transformation: Resummation of six-loop ε-expansions from different universality classes

Abhignan,

Sankaranarayanan

2021

Preprint

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We handle divergent expansions in different universality classes derived from modified Landau-Wilson Hamiltonian. Landau-Wilson Hamiltonian can cater for describing critical phenomena on a wide range of physical systems which differ in symmetry conditions and the associated universality class. Numerically critical parameters are the most interesting physical quantities which characterize the singular behaviour around the critical point. More precise estimates are obtained for these critical parameters than previous predictions from Padé based methods and Borel with conformal mapping procedure. We use simple methods based on continued functions and Borel-Leroy transformation to achieve this. These accurate results are helpful in strengthening existing conclusions in different φ 4 models.

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Frustrated antiferromagnetic honeycomb-tunnel-like latticeCuR2Ge2O8(R=Pr, Nd, S

Cited by 8 publications

References 72 publications

Six-loop ε expansion study of three-dimensional O(n)×O(m) spin models

Six-loop ε expansion study of three-dimensional O(n)×O(m) spin models

Proposed Negative Thermal Expansion in Honeycomb-Lattice Antiferromagnets

Continued functions and Borel-Leroy transformation: Resummation of six-loop ε-expansions from different universality classes

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