Low-temperature specific heat of the generalized antiferromagnetic SU (N) Heisenberg model with and without a field

K. Lee

doi:10.1016/0375-9601(94)90875-3

Low-temperature specific heat of the generalized antiferromagnetic SU (N) Heisenberg model with and without a field

K. Lee

Department of Physics

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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 γ^[N,m] is a function of a field which breaks the Su (N) invariance of the internal degrees of freedom. We calculate the γ^[N,m] in zero field and in a small field. The in-field γ^[N,m] is less than the zero-field γ^[N,m] as expected since the entropy is reduced in the ordered system. The zero-field γ^[N,m] 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 arbitrary N.

Original language	English
Pages (from-to)	112-118
Number of pages	7
Journal	Physics Letters A
Volume	187
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(94)90875-3
State	Published - 4 Apr 1994

Bibliographical note

Funding Information:
We would like to thank Dr. C. Ahn for fruitful discussions and also to acknowledge the support in part by the Non Directed Research Fund, Korea Research Foundation (1993) and by the Korean Science and Engineering Foundation.

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title = "Low-temperature specific heat of the generalized antiferromagnetic SU (N) Heisenberg model with and without a field",

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 γ[N,m] is a function of a field which breaks the Su (N) invariance of the internal degrees of freedom. We calculate the γ[N,m] in zero field and in a small field. The in-field γ[N,m] is less than the zero-field γ[N,m] as expected since the entropy is reduced in the ordered system. The zero-field γ[N,m] 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 arbitrary N.",

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N1 - Funding Information: We would like to thank Dr. C. Ahn for fruitful discussions and also to acknowledge the support in part by the Non Directed Research Fund, Korea Research Foundation (1993) and by the Korean Science and Engineering Foundation.

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N2 - 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 γ[N,m] is a function of a field which breaks the Su (N) invariance of the internal degrees of freedom. We calculate the γ[N,m] in zero field and in a small field. The in-field γ[N,m] is less than the zero-field γ[N,m] as expected since the entropy is reduced in the ordered system. The zero-field γ[N,m] 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 arbitrary N.

AB - 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 γ[N,m] is a function of a field which breaks the Su (N) invariance of the internal degrees of freedom. We calculate the γ[N,m] in zero field and in a small field. The in-field γ[N,m] is less than the zero-field γ[N,m] as expected since the entropy is reduced in the ordered system. The zero-field γ[N,m] 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 arbitrary N.

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Low-temperature specific heat of the generalized antiferromagnetic SU (N) Heisenberg model with and without a field

Abstract

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