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A Scaling Relation for Dangerously Irrelevant Symmetry-Breaking Fields

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arxiv 1411.1872 v1 pith:IKGAX4NQ submitted 2014-11-07 cond-mat.stat-mech cond-mat.str-el

Tsuyoshi Okubo , Kosei Oshikawa , Hiroshi Watanabe , Naoki Kawashima This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-el
keywords irrelevantrelationscalingsymmetry-breakingalternativeclockconfirmcritical
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We propose a scaling relation for critical phenomena in which a symmetry-breaking field is dengerously irrelevant. We confirm its validity on the 6-state clock model in three and four dimensions by numerical simulation. In doing so, we point out the problem in the previously-used order parameter, and present an alternative evidence based on the mass-dependent fluctuation.

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  1. Supersymmetric quantum criticality with discrete symmetry

    cond-mat.str-el 2026-05 unverdicted novelty 6.0 of 10

    FRG analysis of Z_n-anisotropic Gross-Neveu-Yukawa theories shows irrelevant anisotropy for n>3 yielding N=2 supersymmetric criticality and a second length scale whose exponent satisfies ν'/ν = 1 + |y_n|/2.

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