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.
Cited by 6
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Matías Gonzalez,
- 1 Bernard Bernu,
- 2 Laurent Pierre,
- 1 3 Laura Messio
- 1 Sorbonne Université / Sorbonne University
- 2 Paris West University Nanterre La Défense [Paris X Nanterre]
- 3 Institut Universitaire de France [IUF]