Low temperature thermodynamics of inverse square spin models in one dimension

W. Hofstetter; W. Zwerger

doi:10.1007/s100510050499

Low temperature thermodynamics of inverse square spin models in one dimension

W. Hofstetter, W. Zwerger

Research output: Contribution to journal › Article › peer-review

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Abstract

We present a field-theoretic renormalization group calculation in two loop order for classical O(N)-models with an inverse square interaction in the vicinity of their lower critical dimensionality one. The magnetic susceptibility at low temperatures i shown to diverge like T^-a exp(b/T) with a = (N - 2)/(N - 1) and b = 2π²/(N - 1). From a comparison with the exactly solvable Haldane-Shastry model we find that the same temperature dependence applies also to ferromagnetic quantum spin chains.

Original language	English
Pages (from-to)	751-756
Number of pages	6
Journal	European Physical Journal B
Volume	5
Issue number	3
DOIs	https://doi.org/10.1007/s100510050499
State	Published - 1998
Externally published	Yes

Keywords

75.10.Hk Classical spin models
75.10.Jm Quantized spin models

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10.1007/s100510050499

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abstract = "We present a field-theoretic renormalization group calculation in two loop order for classical O(N)-models with an inverse square interaction in the vicinity of their lower critical dimensionality one. The magnetic susceptibility at low temperatures i shown to diverge like T-a exp(b/T) with a = (N - 2)/(N - 1) and b = 2π2/(N - 1). From a comparison with the exactly solvable Haldane-Shastry model we find that the same temperature dependence applies also to ferromagnetic quantum spin chains.",

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T1 - Low temperature thermodynamics of inverse square spin models in one dimension

AU - Hofstetter, W.

AU - Zwerger, W.

PY - 1998

Y1 - 1998

N2 - We present a field-theoretic renormalization group calculation in two loop order for classical O(N)-models with an inverse square interaction in the vicinity of their lower critical dimensionality one. The magnetic susceptibility at low temperatures i shown to diverge like T-a exp(b/T) with a = (N - 2)/(N - 1) and b = 2π2/(N - 1). From a comparison with the exactly solvable Haldane-Shastry model we find that the same temperature dependence applies also to ferromagnetic quantum spin chains.

AB - We present a field-theoretic renormalization group calculation in two loop order for classical O(N)-models with an inverse square interaction in the vicinity of their lower critical dimensionality one. The magnetic susceptibility at low temperatures i shown to diverge like T-a exp(b/T) with a = (N - 2)/(N - 1) and b = 2π2/(N - 1). From a comparison with the exactly solvable Haldane-Shastry model we find that the same temperature dependence applies also to ferromagnetic quantum spin chains.

KW - 75.10.Hk Classical spin models

KW - 75.10.Jm Quantized spin models

UR - http://www.scopus.com/inward/record.url?scp=0032291503&partnerID=8YFLogxK

U2 - 10.1007/s100510050499

DO - 10.1007/s100510050499

M3 - Article

AN - SCOPUS:0032291503

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SP - 751

EP - 756

JO - European Physical Journal B

JF - European Physical Journal B

IS - 3

ER -

Low temperature thermodynamics of inverse square spin models in one dimension

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Keywords

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