Fat and thin Fisher zeroes

W. Janke; D. A. Johnston; M. Stathakopoulos

doi:10.1016/S0920-5632(01)01905-3

Fat and thin Fisher zeroes

W. Janke, D. A. Johnston, M. Stathakopoulos

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

Abstract

We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar ("fat") f⁴ random graphs and their dual quadrangulations by matching up the real part of the high- and low-temperature branches of the expression for the free energy. Similar methods work for the mean-field model on generic, "thin" graphs. Series expansions are very easy to obtain for such random graph Ising models.

Original language	English
Pages (from-to)	983-985
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	106-107
DOIs	https://doi.org/10.1016/S0920-5632(01)01905-3
Publication status	Published - Mar 2002

Access to Document

10.1016/S0920-5632(01)01905-3

Cite this

@article{a8210f1f45054263865533a37db6dda3,

title = "Fat and thin Fisher zeroes",

abstract = "We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar ({"}fat{"}) f4 random graphs and their dual quadrangulations by matching up the real part of the high- and low-temperature branches of the expression for the free energy. Similar methods work for the mean-field model on generic, {"}thin{"} graphs. Series expansions are very easy to obtain for such random graph Ising models.",

author = "W. Janke and Johnston, {D. A.} and M. Stathakopoulos",

year = "2002",

month = mar,

doi = "10.1016/S0920-5632(01)01905-3",

language = "English",

volume = "106-107",

pages = "983--985",

journal = "Nuclear Physics B - Proceedings Supplements",

issn = "0920-5632",

publisher = "Elsevier",

}

TY - JOUR

T1 - Fat and thin Fisher zeroes

AU - Janke, W.

AU - Johnston, D. A.

AU - Stathakopoulos, M.

PY - 2002/3

Y1 - 2002/3

N2 - We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar ("fat") f4 random graphs and their dual quadrangulations by matching up the real part of the high- and low-temperature branches of the expression for the free energy. Similar methods work for the mean-field model on generic, "thin" graphs. Series expansions are very easy to obtain for such random graph Ising models.

AB - We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar ("fat") f4 random graphs and their dual quadrangulations by matching up the real part of the high- and low-temperature branches of the expression for the free energy. Similar methods work for the mean-field model on generic, "thin" graphs. Series expansions are very easy to obtain for such random graph Ising models.

UR - http://www.scopus.com/inward/record.url?scp=0036525221&partnerID=8YFLogxK

U2 - 10.1016/S0920-5632(01)01905-3

DO - 10.1016/S0920-5632(01)01905-3

M3 - Article

SN - 0920-5632

VL - 106-107

SP - 983

EP - 985

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

ER -

Fat and thin Fisher zeroes

Abstract

Access to Document

Other files and links

Fingerprint

Cite this