Thermodynamic properties of an 
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 ring-exchange model on the triangular lattice

Seki, Koh‐ichi; Yunoki, Seiji

doi:10.1103/physrevb.101.235115

Cited by 28 publications

(14 citation statements)

References 125 publications

(168 reference statements)

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“…The FTLM has been employed to study the finitetemperature properties of various lattice models [39][40][41][42][43][44][45][46][47][48][49][50][51]. The OFTLM is a more accurate method than the standard FTLM, particularly at low temperatures [36].…”

Section: Methodsmentioning

confidence: 99%

Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice

Morita

2021

Preprint

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In this study, we investigated the magnetic susceptibility, entropy, and isothermal magnetization curve of the spin-1/2 Heisenberg model on an isosceles triangular lattice using the orthogonalized finite-temperature Lanczos method. In addition, we investigated the adiabatic magnetization curve and magnetocaloric effect. We estimated these physical quantities with sufficient accuracy in the thermodynamic limit, except at low temperatures. We observed a 1/3 magnetization plateau in the isothermal magnetization process, whereas the plateau was observed to have a slope in the adiabatic process. We showed that the magnetocaloric effect can be used to detect the signature of phase transitions. We believe that these results will be useful for understanding the magnetism of isosceles triangular lattice compounds through a comparison with experimental results in the future.

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Section: Methodsmentioning

confidence: 99%

Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice

Morita

2021

Preprint

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“…The FTLM is a Monte-Carlo like extension of the full ED briefly described in the previous section. Thermodynamic quantities are determined using trace estimators [51][52][53][54][55][56][57][58][59][60][61][62]. The partition function Z is approximated by a Monte-Carlo like representation of Z, i.e., the sum over a complete set of (2s + 1) N basis states entering Z is replaced by a much smaller sum over R random vectors | ν for each subspace H (γ) of the Hilbert space.…”

Section: Finite-temperature Lanczos Methods (Ftlm)mentioning

confidence: 99%

Anomalous thermodynamics of a quantum spin system with large residual entropy

Richter¹,

Schulenburg²,

Дмитриев³

et al. 2020

Condens. Matter Phys.

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“…This step is motivated by both strong similarity of the effects provided by the ring-exchange to that of the biquadratic terms and a considerable cumbersomness of the spin-wave treatment of the ring-exchange in the triangular lattice, see Refs. [44,45].…”

Section: Parametersmentioning

confidence: 99%

Roller-Coaster in a Flatland: Magnetoresistivity in Eu-intercalated Graphite

Chernyshev,

Starykh

2021

Preprint

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Novel phenomena in magnetically-intercalated graphite has been a subject of much research, pioneered and promoted by M. S. and G. Dresselhaus and many others in the 1980s. Among the most enigmatic findings of that era was a dramatic, roller-coaster-like behavior of the magnetoresistivity in EuC6 compound, in which magnetic Eu 2+ ions form a triangular lattice that is commensurate to graphite honeycomb planes. In this study, we provide a long-awaited microscopic explanation of this behavior, demonstrating that the resistivity of EuC6 is dominated by spin excitations in Eu-planes and their highly nontrivial evolution with the magnetic field. Together with our theoretical analysis, the present study showcases the power of the synthetic 2D materials as a source of potentially significant insights into the nature of exotic spin excitations. CONTENTSB. 1/S-expansion 8 C. LSWT Hamiltonian 9 D. Diagonalization 10 E. Magnon eigenenergies 10 IV. Kondo coupling and resistivity 11 A. Kondo coupling 11 B. Resistivity 13 1. Large-q insights 13 2. Estimate of J K 14 V. Results 15 A. T -dependence of resistivity 15 B. Magnetoresistivity vs biquadratic-exchange 16 C. Magnetoresistivity, role of k F 17 D. Outlook 20 VI. Summary 21 Acknowledgments 21 A. First order transitions 21 1. Y-UUD transition 21 2. V-FM transition 22 B. Particular cases 23 1. Polarized state 23 2. 120 • state 24 3. Plateau state 24 C. Transport formalism, 1/τ approximation 26 1. Basics and conventions 26 2. Phonon-like spin-conserving scattering 26 a. Ansatz and solution 27 b. 2D case 28 3. Spin-flip scattering 29 4. Quasiparticle 1/τ qp , angular dependence 30 a. Quasiparticle vs transport 1/τ 30 b. Angular dependence of 1/τ qp 32 References 33

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Thermodynamic properties of an S=12 ring-exchange model on the triangular lattice

Cited by 28 publications

References 125 publications

Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice

Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice

Anomalous thermodynamics of a quantum spin system with large residual entropy

Roller-Coaster in a Flatland: Magnetoresistivity in Eu-intercalated Graphite

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