Ground state entropy of the Potts antiferromagnet on homeomorphic expansions of kagomé lattice strips

Robert Shrock; Yan Xu

doi:10.1103/PhysRevE.83.041109

Ground state entropy of the Potts antiferromagnet on homeomorphic expansions of kagomé lattice strips

Robert Shrock
, Yan Xu

Institute for Theoretical Physics

Stony Brook University

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

1 Scopus citations

Abstract

We present exact calculations of the chromatic polynomial and resultant ground state entropy of the q-state Potts antiferromagnet on lattice strips that are homeomorphic expansions of a strip of the kagomé lattice. The dependence of the ground state entropy on the form of homeomorphic expansion is elucidated.

Original language	English
Article number	041109
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	83
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.83.041109
State	Published - Apr 12 2011

Access to Document

10.1103/PhysRevE.83.041109

Cite this

@article{a6c9b1b77f4f4fb4b8d9752ede00907a,

title = "Ground state entropy of the Potts antiferromagnet on homeomorphic expansions of kagom{\'e} lattice strips",

abstract = "We present exact calculations of the chromatic polynomial and resultant ground state entropy of the q-state Potts antiferromagnet on lattice strips that are homeomorphic expansions of a strip of the kagom{\'e} lattice. The dependence of the ground state entropy on the form of homeomorphic expansion is elucidated.",

author = "Robert Shrock and Yan Xu",

year = "2011",

month = apr,

day = "12",

doi = "10.1103/PhysRevE.83.041109",

language = "English",

volume = "83",

journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

number = "4",

}

TY - JOUR

T1 - Ground state entropy of the Potts antiferromagnet on homeomorphic expansions of kagomé lattice strips

AU - Shrock, Robert

AU - Xu, Yan

PY - 2011/4/12

Y1 - 2011/4/12

N2 - We present exact calculations of the chromatic polynomial and resultant ground state entropy of the q-state Potts antiferromagnet on lattice strips that are homeomorphic expansions of a strip of the kagomé lattice. The dependence of the ground state entropy on the form of homeomorphic expansion is elucidated.

AB - We present exact calculations of the chromatic polynomial and resultant ground state entropy of the q-state Potts antiferromagnet on lattice strips that are homeomorphic expansions of a strip of the kagomé lattice. The dependence of the ground state entropy on the form of homeomorphic expansion is elucidated.

UR - https://www.scopus.com/pages/publications/79961052365

U2 - 10.1103/PhysRevE.83.041109

DO - 10.1103/PhysRevE.83.041109

M3 - Article

AN - SCOPUS:79961052365

SN - 1539-3755

VL - 83

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 4

M1 - 041109

ER -

Ground state entropy of the Potts antiferromagnet on homeomorphic expansions of kagomé lattice strips

Abstract

Access to Document

Other files and links

Fingerprint

Cite this