Response to a twist in systems with Zp symmetry

The two-dimensional p-state clock model

Yuta Kumano, Koji Hukushima, Yusuke Tomita, Masaki Oshikawa

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We study response to a twist in the two-dimensional p-state clock model, which has the discrete Zp symmetry. The response is measured in terms of helicity modulus, which is usually defined with respect to an infinitesimal twist. However, we demonstrate that such a definition is inappropriate for the clock model. The helicity modulus must be defined with respect to a finite, quantized twist which matches the discrete Zp symmetry of the model. Numerical study of the appropriately defined helicity modulus resolves controversy over the clock model, showing the existence of two Berezinskii-Kosterlitz-Thouless transitions for p>4.

Original languageEnglish
Article number104427
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume88
Issue number10
DOIs
Publication statusPublished - 2013 Sep 30

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ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Response to a twist in systems with Zp symmetry : The two-dimensional p-state clock model. / Kumano, Yuta; Hukushima, Koji; Tomita, Yusuke; Oshikawa, Masaki.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 88, No. 10, 104427, 30.09.2013.

Research output: Contribution to journalArticle

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