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Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
by Matías G. Gonzalez, Bernard Bernu, Laurent Pierre, Laura Messio
Submission summary
| Authors (as registered SciPost users): | Matías Gonzalez · Laura Messio |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2112.08128v2 (pdf) |
| Date accepted: | March 8, 2022 |
| Date submitted: | Feb. 7, 2022, 8:24 p.m. |
| Submitted by: | Matías Gonzalez |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
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.
Author comments upon resubmission
Yours sincerely,
The authors
List of changes
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Title updated to “Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice”
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We added the following sentence to Page 6: “We tried several scaling types and found that this one was the best. However, we do not have any microscopic argument to support it.”
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Added “For the TLHAF” to the caption of Fig. 3
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Fixed Ref. [18] and non-breaking inline formulas
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We have added the curves from Ref. [7] to our Figure 4
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Clarified the use of TLHAF in the Introduction
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We have changed the prelude of equation (5) to: “We also consider a gapped ground state with a low-temperature behavior as $c_ν(T)\sim T^2 exp(-T_0/T)$, where T_0 is the gap.”
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We have added the following explanation to Page 6: “Using three consecutive orders is a way to measure the convergence with $n$. If converged with $n$, pCPA from 3 consecutive orders will be close to the individual pCPA of a single order. Otherwise, it will be much smaller.”
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We have clarified the treatment of the singularities in the Padé Approximants at the end of Page 4 by adding: “For this function, all Padé Approximants with poles or roots in the energy range $[e_0, 0]$ are non physical and discarded directly.”
Published as SciPost Phys. 12, 112 (2022)