Response to a twist in systems with Zp symmetry: The two-dimensional p-state clock model

Yuta Kumano, Koji Hukushima, Yusuke Tomita, Masaki Oshikawa

研究成果: Article査読

20 被引用数 (Scopus)


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.

ジャーナルPhysical Review B - Condensed Matter and Materials Physics
出版ステータスPublished - 2013 9 30

ASJC Scopus subject areas

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学


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