# Anomalous low-temperature specific heat of the antiferromagnetic SU(N) Heisenberg model in a field

Source: [Anomalous low-temperature specific heat of the antiferromagnetic SU(N) Heisenberg model in a field](<https://www.sota2.com/research/paper/68fa1e8c7a2b558e29323052>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T15:21:59.528Z

Authors: K. Lee

Published: 1993-12-11T02:50:12.000Z

## Abstract

We discuss the low-temperature specific heat of the integrable SU(N)- invariant Heisenberg model in one dimension with degrees of freedom in the symmetric rank-$m$ tensor representation, especially for the antiferromagnetic coupling. It is known that the linear specific heat coefficient $\\gam$ is a function of a field which breaks the SU(N) invariance of the internal degrees of freedom. We calculate the $\\gam$ in a zero field and in a small field. The in-field $\\gam$ is less than the zero-field $\\gam$ as expected since the entropy is reduced in the ordered system. The zero-field $\\gam$ is the same as the one obtained by the prediction of the critical behavior of 1D quantum spin systems via conformal field theory. This extends the previous results for N=2 to an arbitrary N.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9312046>)

[PDF](<https://arxiv.org/pdf/cond-mat/9312046.pdf>)