Long-wavelength fluctuations in the Ising spin glass

T. Temesvari, I. Kondor, C. De Dominicis

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The overlaps of spin-spin correlations inside one phase space valley and between different valleys are calculated in the Gaussian approximation around Parisi's mean-field solution for the Ising spin glass. The large mass of the theory is shown to be related to the coherence length of the longitudinal fluctuations of the order parameter inside a single pure state. The long-wavelength asymptotics of correlation functions is worked out in detail and it is shown that an exact inequality between intra- and intervalley overlaps breaks down below dimension d=6, signalling an internal inconsistency of the theory for d(6.

Original languageEnglish
Article number008
JournalJournal of Physics A: Mathematical and General
Volume21
Issue number23
DOIs
Publication statusPublished - 1988

Fingerprint

Spin glass
Spin Glass
Ising
spin glass
valleys
Overlap
Wavelength
Fluctuations
Gaussian Approximation
Pure State
Inconsistency
wavelengths
Order Parameter
Mean Field
Breakdown
Correlation Function
Phase Space
breakdown
Internal
approximation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Long-wavelength fluctuations in the Ising spin glass. / Temesvari, T.; Kondor, I.; De Dominicis, C.

In: Journal of Physics A: Mathematical and General, Vol. 21, No. 23, 008, 1988.

Research output: Contribution to journalArticle

@article{e8b464d80f6f4cdf881617efb1a481fa,
title = "Long-wavelength fluctuations in the Ising spin glass",
abstract = "The overlaps of spin-spin correlations inside one phase space valley and between different valleys are calculated in the Gaussian approximation around Parisi's mean-field solution for the Ising spin glass. The large mass of the theory is shown to be related to the coherence length of the longitudinal fluctuations of the order parameter inside a single pure state. The long-wavelength asymptotics of correlation functions is worked out in detail and it is shown that an exact inequality between intra- and intervalley overlaps breaks down below dimension d=6, signalling an internal inconsistency of the theory for d(6.",
author = "T. Temesvari and I. Kondor and {De Dominicis}, C.",
year = "1988",
doi = "10.1088/0305-4470/21/23/008",
language = "English",
volume = "21",
journal = "Journal Physics D: Applied Physics",
issn = "0022-3727",
publisher = "IOP Publishing Ltd.",
number = "23",

}

TY - JOUR

T1 - Long-wavelength fluctuations in the Ising spin glass

AU - Temesvari, T.

AU - Kondor, I.

AU - De Dominicis, C.

PY - 1988

Y1 - 1988

N2 - The overlaps of spin-spin correlations inside one phase space valley and between different valleys are calculated in the Gaussian approximation around Parisi's mean-field solution for the Ising spin glass. The large mass of the theory is shown to be related to the coherence length of the longitudinal fluctuations of the order parameter inside a single pure state. The long-wavelength asymptotics of correlation functions is worked out in detail and it is shown that an exact inequality between intra- and intervalley overlaps breaks down below dimension d=6, signalling an internal inconsistency of the theory for d(6.

AB - The overlaps of spin-spin correlations inside one phase space valley and between different valleys are calculated in the Gaussian approximation around Parisi's mean-field solution for the Ising spin glass. The large mass of the theory is shown to be related to the coherence length of the longitudinal fluctuations of the order parameter inside a single pure state. The long-wavelength asymptotics of correlation functions is worked out in detail and it is shown that an exact inequality between intra- and intervalley overlaps breaks down below dimension d=6, signalling an internal inconsistency of the theory for d(6.

UR - http://www.scopus.com/inward/record.url?scp=36149029867&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36149029867&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/21/23/008

DO - 10.1088/0305-4470/21/23/008

M3 - Article

AN - SCOPUS:36149029867

VL - 21

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 23

M1 - 008

ER -