NON-MEAN FIELD GENERALIZATION OF THE GABAY-TOULOUSE LINE.

Stewart Barnes, A. P. Malozemoff, B. Barbara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Described is a scaling theory of spin-glasses which has both longitudinal (q// L-SCRIPT ) and transverse (q//t) order parameters. The form of the term coupling these parameters is deduced by requiring the longitudinal but not the transverse transition to be suppressed in a field. If the large field susceptibility corresponds to // chi approx. h**2/** delta then the transverse freezing, or Gabay-Toulouse, temperature is found to obey a scaling law t//T approx. h 4/** delta . For mean-field delta equals 2 to give t//T approx. h**2, in agreement with Gabay and Toulouse.

Original languageEnglish (US)
Title of host publicationUnknown Host Publication Title
PublisherNorth-Holland
Pages645-646
Number of pages2
Editionpt 1
ISBN (Print)0444869107
StatePublished - 1984

Fingerprint

Spin glass
Scaling laws
Freezing
Temperature

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Barnes, S., Malozemoff, A. P., & Barbara, B. (1984). NON-MEAN FIELD GENERALIZATION OF THE GABAY-TOULOUSE LINE. In Unknown Host Publication Title (pt 1 ed., pp. 645-646). North-Holland.

NON-MEAN FIELD GENERALIZATION OF THE GABAY-TOULOUSE LINE. / Barnes, Stewart; Malozemoff, A. P.; Barbara, B.

Unknown Host Publication Title. pt 1. ed. North-Holland, 1984. p. 645-646.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Barnes, S, Malozemoff, AP & Barbara, B 1984, NON-MEAN FIELD GENERALIZATION OF THE GABAY-TOULOUSE LINE. in Unknown Host Publication Title. pt 1 edn, North-Holland, pp. 645-646.
Barnes S, Malozemoff AP, Barbara B. NON-MEAN FIELD GENERALIZATION OF THE GABAY-TOULOUSE LINE. In Unknown Host Publication Title. pt 1 ed. North-Holland. 1984. p. 645-646
Barnes, Stewart ; Malozemoff, A. P. ; Barbara, B. / NON-MEAN FIELD GENERALIZATION OF THE GABAY-TOULOUSE LINE. Unknown Host Publication Title. pt 1. ed. North-Holland, 1984. pp. 645-646
@inproceedings{e110957325d04a998330acd127f70d9d,
title = "NON-MEAN FIELD GENERALIZATION OF THE GABAY-TOULOUSE LINE.",
abstract = "Described is a scaling theory of spin-glasses which has both longitudinal (q// L-SCRIPT ) and transverse (q//t) order parameters. The form of the term coupling these parameters is deduced by requiring the longitudinal but not the transverse transition to be suppressed in a field. If the large field susceptibility corresponds to // chi approx. h**2/** delta then the transverse freezing, or Gabay-Toulouse, temperature is found to obey a scaling law t//T approx. h 4/** delta . For mean-field delta equals 2 to give t//T approx. h**2, in agreement with Gabay and Toulouse.",
author = "Stewart Barnes and Malozemoff, {A. P.} and B. Barbara",
year = "1984",
language = "English (US)",
isbn = "0444869107",
pages = "645--646",
booktitle = "Unknown Host Publication Title",
publisher = "North-Holland",
edition = "pt 1",

}

TY - GEN

T1 - NON-MEAN FIELD GENERALIZATION OF THE GABAY-TOULOUSE LINE.

AU - Barnes, Stewart

AU - Malozemoff, A. P.

AU - Barbara, B.

PY - 1984

Y1 - 1984

N2 - Described is a scaling theory of spin-glasses which has both longitudinal (q// L-SCRIPT ) and transverse (q//t) order parameters. The form of the term coupling these parameters is deduced by requiring the longitudinal but not the transverse transition to be suppressed in a field. If the large field susceptibility corresponds to // chi approx. h**2/** delta then the transverse freezing, or Gabay-Toulouse, temperature is found to obey a scaling law t//T approx. h 4/** delta . For mean-field delta equals 2 to give t//T approx. h**2, in agreement with Gabay and Toulouse.

AB - Described is a scaling theory of spin-glasses which has both longitudinal (q// L-SCRIPT ) and transverse (q//t) order parameters. The form of the term coupling these parameters is deduced by requiring the longitudinal but not the transverse transition to be suppressed in a field. If the large field susceptibility corresponds to // chi approx. h**2/** delta then the transverse freezing, or Gabay-Toulouse, temperature is found to obey a scaling law t//T approx. h 4/** delta . For mean-field delta equals 2 to give t//T approx. h**2, in agreement with Gabay and Toulouse.

UR - http://www.scopus.com/inward/record.url?scp=0021662386&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021662386&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0021662386

SN - 0444869107

SP - 645

EP - 646

BT - Unknown Host Publication Title

PB - North-Holland

ER -