One-dimensional spin-glass model with long-range random interactions

G. Kotliar; P. W. Anderson; D. L. Stein

doi:10.1103/PhysRevB.27.602

One-dimensional spin-glass model with long-range random interactions

G. Kotliar, P. W. Anderson, D. L. Stein

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

Abstract

We consider an Ising chain with Hamiltonian H=ij(ijSiSj)(a|i-j|) where the ij are independent random variables. We find a phase transition for 121. For 1223 the critical exponents exhibit mean-field classical behavior. Near =1 we find a smoothly varying specific heat. We investigate the critical behavior near the upper and lower critical range by means of an expansion around =1 and 23.

Original language	English (US)
Pages (from-to)	602-605
Number of pages	4
Journal	Physical Review B
Volume	27
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevB.27.602
State	Published - 1983

ASJC Scopus subject areas

Condensed Matter Physics

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10.1103/PhysRevB.27.602

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title = "One-dimensional spin-glass model with long-range random interactions",

abstract = "We consider an Ising chain with Hamiltonian H=ij(ijSiSj)(a|i-j|) where the ij are independent random variables. We find a phase transition for 121. For 1223 the critical exponents exhibit mean-field classical behavior. Near =1 we find a smoothly varying specific heat. We investigate the critical behavior near the upper and lower critical range by means of an expansion around =1 and 23.",

author = "G. Kotliar and Anderson, {P. W.} and Stein, {D. L.}",

year = "1983",

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AU - Stein, D. L.

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N2 - We consider an Ising chain with Hamiltonian H=ij(ijSiSj)(a|i-j|) where the ij are independent random variables. We find a phase transition for 121. For 1223 the critical exponents exhibit mean-field classical behavior. Near =1 we find a smoothly varying specific heat. We investigate the critical behavior near the upper and lower critical range by means of an expansion around =1 and 23.

AB - We consider an Ising chain with Hamiltonian H=ij(ijSiSj)(a|i-j|) where the ij are independent random variables. We find a phase transition for 121. For 1223 the critical exponents exhibit mean-field classical behavior. Near =1 we find a smoothly varying specific heat. We investigate the critical behavior near the upper and lower critical range by means of an expansion around =1 and 23.

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DO - 10.1103/PhysRevB.27.602

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One-dimensional spin-glass model with long-range random interactions

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