Absence of many states in realistic spin glasses

Daniel S. Fisher; David A. Huse

doi:10.1088/0305-4470/20/15/013

Absence of many states in realistic spin glasses

Daniel S. Fisher
, David A. Huse

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

139 Scopus citations

Abstract

Based on a simple scaling ansatz, the authors argue that no pure thermodynamic states other than the paramagnetic state and a pair of states in zero magnetic field which are related by a global spin flip can exist in short-range Ising spin glass models in any dimension. An analogous result should hold for XY and Heisenberg spin glasses, as well as for square-integrable long-range interactions.

Original language	English (US)
Pages (from-to)	L1005-L1010
Journal	Journal of Physics A: Mathematical and General
Volume	20
Issue number	15
DOIs	https://doi.org/10.1088/0305-4470/20/15/013
State	Published - Oct 21 1987
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/20/15/013

Cite this

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title = "Absence of many states in realistic spin glasses",

abstract = "Based on a simple scaling ansatz, the authors argue that no pure thermodynamic states other than the paramagnetic state and a pair of states in zero magnetic field which are related by a global spin flip can exist in short-range Ising spin glass models in any dimension. An analogous result should hold for XY and Heisenberg spin glasses, as well as for square-integrable long-range interactions.",

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doi = "10.1088/0305-4470/20/15/013",

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T1 - Absence of many states in realistic spin glasses

AU - Fisher, Daniel S.

AU - Huse, David A.

PY - 1987/10/21

Y1 - 1987/10/21

N2 - Based on a simple scaling ansatz, the authors argue that no pure thermodynamic states other than the paramagnetic state and a pair of states in zero magnetic field which are related by a global spin flip can exist in short-range Ising spin glass models in any dimension. An analogous result should hold for XY and Heisenberg spin glasses, as well as for square-integrable long-range interactions.

AB - Based on a simple scaling ansatz, the authors argue that no pure thermodynamic states other than the paramagnetic state and a pair of states in zero magnetic field which are related by a global spin flip can exist in short-range Ising spin glass models in any dimension. An analogous result should hold for XY and Heisenberg spin glasses, as well as for square-integrable long-range interactions.

UR - https://www.scopus.com/pages/publications/22244444842

UR - https://www.scopus.com/pages/publications/22244444842#tab=citedBy

U2 - 10.1088/0305-4470/20/15/013

DO - 10.1088/0305-4470/20/15/013

M3 - Letter

AN - SCOPUS:22244444842

SN - 0305-4470

VL - 20

SP - L1005-L1010

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 15

ER -

Absence of many states in realistic spin glasses

Abstract

All Science Journal Classification (ASJC) codes

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