Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice

Gonzalez, Matías; Bernu, Bernard; Pierre, Laurent; Messio, Laura

doi:10.21468/SciPostPhys.12.3.112

SciPost Physics

Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice

Matías G. Gonzalez, Bernard Bernu, Laurent Pierre, Laura Messio

SciPost Phys. 12, 112 (2022) · published 30 March 2022

doi: 10.21468/SciPostPhys.12.3.112
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Abstract

The spin-$\frac12$ triangular lattice antiferromagnetic Heisenberg model has been for a long time the prototypical model of magnetic frustration. However, only very recently this model has been proposed to be realized in the Ba$_8$CoNb$_6$O$_{24}$ compound. The ground-state and thermodynamic properties are evaluated from a high-temperature series expansions interpolation method, called "entropy method", and compared to experiments. We find a ground-state energy $e_0 = -0.5445(2)$ in perfect agreement with exact diagonalization results. We also calculate the specific heat and entropy at all temperatures, finding a good agreement with the latest experiments, and evaluate which further interactions could improve the comparison. We explore the spatially anisotropic triangular lattice and provide evidence that supports the existence of a gapped spin liquid between the square and triangular lattices.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.12.3.112
TI  - Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
PY  - 2022/03/30
UR  - https://scipost.org/SciPostPhys.12.3.112
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 12
IS  - 3
SP  - 112
A1  - Gonzalez, Matías
AU  - Bernu, Bernard
AU  - Pierre, Laurent
AU  - Messio, Laura
AB  - The spin-$\frac12$ triangular lattice antiferromagnetic Heisenberg model has been for a long time the prototypical model of magnetic frustration. However, only very recently this model has been proposed to be realized in the Ba$_8$CoNb$_6$O$_{24}$ compound. The ground-state and thermodynamic properties are evaluated from a high-temperature series expansions interpolation method, called "entropy method", and compared to experiments. We find a ground-state energy $e_0 = -0.5445(2)$ in perfect agreement with exact diagonalization results. We also calculate the specific heat and entropy at all temperatures, finding a good agreement with the latest experiments, and evaluate which further interactions could improve the comparison. We explore the spatially anisotropic triangular lattice and provide evidence that supports the existence of a gapped spin liquid between the square and triangular lattices.
ER  -

@Article{10.21468/SciPostPhys.12.3.112,
	title={{Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice}},
	author={Matías G. Gonzalez and Bernard Bernu and Laurent Pierre and Laura Messio},
	journal={SciPost Phys.},
	volume={12},
	pages={112},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.12.3.112},
	url={https://scipost.org/10.21468/SciPostPhys.12.3.112},
}

Cited by 7

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Matías Gonzalez,
¹ Bernard Bernu,
² Laurent Pierre,
¹ ³ Laura Messio

Funder for the research work leading to this publication

Agence Nationale de la Recherche [ANR]