Dilute spin glass at zero temperature in general dimension

Lior Klein; Joan Adler; Amnon Aharony; A. B. Harris; Yigal Meir

doi:10.1103/PhysRevB.40.4824

Dilute spin glass at zero temperature in general dimension

Lior Klein^*, Joan Adler, Amnon Aharony, A. B. Harris, Yigal Meir

^*Corresponding author for this work

School of Physics and Astronomy

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

7 Scopus citations

Abstract

We study the zero-temperature critical behavior of the dilute Ising spin glass. In our model nearest-neighbor exchange interactions randomly assume the values +J, 0, -J with probabilities p/2, 1-p, and p/2, respectively. We have generated 15th-order series for the Edwards-Anderson spin-glass susceptibility as a function of concentration p on hypercubic lattices in general dimension. Their analysis leads to critical concentrations and exponents that differ from those of percolation.

Original language	English
Pages (from-to)	4824-4832
Number of pages	9
Journal	Physical Review B
Volume	40
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevB.40.4824
State	Published - 1989

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10.1103/PhysRevB.40.4824

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title = "Dilute spin glass at zero temperature in general dimension",

abstract = "We study the zero-temperature critical behavior of the dilute Ising spin glass. In our model nearest-neighbor exchange interactions randomly assume the values +J, 0, -J with probabilities p/2, 1-p, and p/2, respectively. We have generated 15th-order series for the Edwards-Anderson spin-glass susceptibility as a function of concentration p on hypercubic lattices in general dimension. Their analysis leads to critical concentrations and exponents that differ from those of percolation.",

author = "Lior Klein and Joan Adler and Amnon Aharony and Harris, {A. B.} and Yigal Meir",

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doi = "10.1103/PhysRevB.40.4824",

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AU - Adler, Joan

AU - Aharony, Amnon

AU - Harris, A. B.

AU - Meir, Yigal

PY - 1989

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N2 - We study the zero-temperature critical behavior of the dilute Ising spin glass. In our model nearest-neighbor exchange interactions randomly assume the values +J, 0, -J with probabilities p/2, 1-p, and p/2, respectively. We have generated 15th-order series for the Edwards-Anderson spin-glass susceptibility as a function of concentration p on hypercubic lattices in general dimension. Their analysis leads to critical concentrations and exponents that differ from those of percolation.

AB - We study the zero-temperature critical behavior of the dilute Ising spin glass. In our model nearest-neighbor exchange interactions randomly assume the values +J, 0, -J with probabilities p/2, 1-p, and p/2, respectively. We have generated 15th-order series for the Edwards-Anderson spin-glass susceptibility as a function of concentration p on hypercubic lattices in general dimension. Their analysis leads to critical concentrations and exponents that differ from those of percolation.

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Dilute spin glass at zero temperature in general dimension

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