Ordering in the infinite-ranged Ising spin glass - Exact solutions for small samples

Scott Kirkpatrick; A. Peter Young

doi:10.1063/1.329686

Ordering in the infinite-ranged Ising spin glass - Exact solutions for small samples

Scott Kirkpatrick^*
, A. Peter Young

^*Corresponding author for this work

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

14 Scopus citations

Abstract

A new order parameter q⁽²⁾ for the infinite-ranged Ising spin glass model is introduced. q⁽²⁾ can be defined without specifying any symmetry breaking field, and is a direct measure of the effect of frustration on the internal energy below the spin glass transition temperature, T _sg. An exact evaluation of q⁽²⁾(T) for small systems (with up to 20 spins) establishes the existence of Edwards-Anderson ordering, and sheds light on several of the controversies which surround this model.

Original language	English
Pages (from-to)	1712-1714
Number of pages	3
Journal	Journal of Applied Physics
Volume	52
Issue number	3
DOIs	https://doi.org/10.1063/1.329686
State	Published - 1981
Externally published	Yes

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AB - A new order parameter q(2) for the infinite-ranged Ising spin glass model is introduced. q(2) can be defined without specifying any symmetry breaking field, and is a direct measure of the effect of frustration on the internal energy below the spin glass transition temperature, T sg. An exact evaluation of q(2)(T) for small systems (with up to 20 spins) establishes the existence of Edwards-Anderson ordering, and sheds light on several of the controversies which surround this model.

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Ordering in the infinite-ranged Ising spin glass - Exact solutions for small samples

Abstract

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