First-order transitions in defect structures at a second-order critical point

Miron Kaufman; Robert B. Griffiths

First-order transitions in defect structures at a second-order critical point

Miron Kaufman
, Robert B. Griffiths

Cleveland State University

Carnegie Mellon University

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

Abstract

On certain hierarchical lattices the order parameter on a defect line increases discontinuously at the bulk critical temperature for q-state Potts models when q is sufficiently large, even though the bulk order parameter increases continuously. It is suggested that the same behavior may occur for two-dimensional lattices with 2 < q <= 4.

Original language	American English
Journal	Phys. Rev. B
Volume	26
State	Published - Nov 1 1982

Disciplines

Physics

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Cite this

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title = "First-order transitions in defect structures at a second-order critical point",

abstract = " On certain hierarchical lattices the order parameter on a defect line increases discontinuously at the bulk critical temperature for q-state Potts models when q is sufficiently large, even though the bulk order parameter increases continuously. It is suggested that the same behavior may occur for two-dimensional lattices with 2 < q <= 4.",

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AU - Griffiths, Robert B.

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Y1 - 1982/11/1

N2 - On certain hierarchical lattices the order parameter on a defect line increases discontinuously at the bulk critical temperature for q-state Potts models when q is sufficiently large, even though the bulk order parameter increases continuously. It is suggested that the same behavior may occur for two-dimensional lattices with 2 < q <= 4.

AB - On certain hierarchical lattices the order parameter on a defect line increases discontinuously at the bulk critical temperature for q-state Potts models when q is sufficiently large, even though the bulk order parameter increases continuously. It is suggested that the same behavior may occur for two-dimensional lattices with 2 < q <= 4.

M3 - Article

VL - 26

JO - Phys. Rev. B

JF - Phys. Rev. B

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