Logarithmic divergent specific heat from high-temperature series expansions: application to the two-dimensional XXZ Heisenberg model release_hu772nqhb5g2thzoecmd23chr4

by M. G. Gonzalez, B. Bernu, L. Pierre, L. Messio

Released as a article .

2021  

Abstract

We present an interpolation method for the specific heat c_v(T), when there is a phase transition with a logarithmic singularity in c_v at a critical temperature T=T_c. The method uses the fact that c_v is constrained both by its high temperature series expansion, and just above T_c by the type of singularity. We test our method on the ferro and antiferromagnetic Ising model on the two-dimensional square, triangular, honeycomb, and kagome lattices, where we find an excellent agreement with the exact solutions. We then explore the XXZ Heisenberg model, for which no exact results are available.
In text/plain format

Archived Files and Locations

application/pdf  1.8 MB
file_hcc4updcy5gj3gzcokkp5keuci
arxiv.org (repository)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   submitted
Date   2021-08-06
Version   v1
Language   en ?
arXiv  2108.03010v1
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 8388dce2-0975-4de1-b79d-3ee98de27d08
API URL: JSON