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Complex-temperature singularities of the susceptibility in the d=2 Ising model

Abstract

We report new results on complex-temperature singularities of the susceptibility {chi} of the 2D Ising model. We give a unified treatment of both the physical critical point and the singularity at u=u{sub s}=-1, which yields the relation {gamma}{sub s}`=2({gamma}`-1). Using exact results, we show that universality is violated at the singularity u=-1 and discuss the reasons. We also show that certain exponent relations are violated at this point. The behavior of {chi} is analyzed as u=-1 is approached from the symmetric PM phase and from the FM and AFM phases. ((orig.)).
Authors:
Shrock, R [1] 
  1. State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064358; EDB-95:132394; SN: 95001458373
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; ISING MODEL; SINGULARITY; LATTICE FIELD THEORY; CRITICAL TEMPERATURE; HAMILTONIANS; MAGNETIC SUSCEPTIBILITY; PARTITION FUNCTIONS; SCALING LAWS; SPECIFIC HEAT; TEMPERATURE DEPENDENCE; TWO-DIMENSIONAL CALCULATIONS
OSTI ID:
101052
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF401064358
Submitting Site:
NLN
Size:
pp. 776-778
Announcement Date:
Oct 05, 1995

Citation Formats

Shrock, R. Complex-temperature singularities of the susceptibility in the d=2 Ising model. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00379-N.
Shrock, R. Complex-temperature singularities of the susceptibility in the d=2 Ising model. Netherlands. doi:10.1016/0920-5632(95)00379-N.
Shrock, R. 1995. "Complex-temperature singularities of the susceptibility in the d=2 Ising model." Netherlands. doi:10.1016/0920-5632(95)00379-N. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00379-N.
@misc{etde_101052,
title = {Complex-temperature singularities of the susceptibility in the d=2 Ising model}
author = {Shrock, R}
abstractNote = {We report new results on complex-temperature singularities of the susceptibility {chi} of the 2D Ising model. We give a unified treatment of both the physical critical point and the singularity at u=u{sub s}=-1, which yields the relation {gamma}{sub s}`=2({gamma}`-1). Using exact results, we show that universality is violated at the singularity u=-1 and discuss the reasons. We also show that certain exponent relations are violated at this point. The behavior of {chi} is analyzed as u=-1 is approached from the symmetric PM phase and from the FM and AFM phases. ((orig.)).}
doi = {10.1016/0920-5632(95)00379-N}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}