T = 0 partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology

Robert Shrock

doi:10.1016/S0375-9601(99)00611-8

T = 0 partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology

Robert Shrock

Institute for Theoretical Physics

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

41 Scopus citations

Abstract

We present exact calculations of the zero-temperature partition function of the q-state Potts antiferromagnet (equivalently the chromatic polynomial) for Möbius strips, with width L_y = 2 or 3, of regular lattices and homeomorphic expansions thereof. These are compared with the corresponding partition functions for strip graphs with (untwisted) periodic longitudinal boundary conditions.

Original language	English
Pages (from-to)	57-62
Number of pages	6
Journal	Physics Letters A
Volume	261
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9601(99)00611-8
State	Published - Oct 4 1999

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10.1016/S0375-9601(99)00611-8

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title = "T = 0 partition functions for Potts antiferromagnets on M{\"o}bius strips and effects of graph topology",

abstract = "We present exact calculations of the zero-temperature partition function of the q-state Potts antiferromagnet (equivalently the chromatic polynomial) for M{\"o}bius strips, with width Ly = 2 or 3, of regular lattices and homeomorphic expansions thereof. These are compared with the corresponding partition functions for strip graphs with (untwisted) periodic longitudinal boundary conditions.",

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T1 - T = 0 partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology

AU - Shrock, Robert

PY - 1999/10/4

Y1 - 1999/10/4

N2 - We present exact calculations of the zero-temperature partition function of the q-state Potts antiferromagnet (equivalently the chromatic polynomial) for Möbius strips, with width Ly = 2 or 3, of regular lattices and homeomorphic expansions thereof. These are compared with the corresponding partition functions for strip graphs with (untwisted) periodic longitudinal boundary conditions.

AB - We present exact calculations of the zero-temperature partition function of the q-state Potts antiferromagnet (equivalently the chromatic polynomial) for Möbius strips, with width Ly = 2 or 3, of regular lattices and homeomorphic expansions thereof. These are compared with the corresponding partition functions for strip graphs with (untwisted) periodic longitudinal boundary conditions.

UR - https://www.scopus.com/pages/publications/0346704344

U2 - 10.1016/S0375-9601(99)00611-8

DO - 10.1016/S0375-9601(99)00611-8

M3 - Article

AN - SCOPUS:0346704344

SN - 0375-9601

VL - 261

SP - 57

EP - 62

JO - Physics Letters A

JF - Physics Letters A

IS - 1-2

ER -

T = 0 partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology

Abstract

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