Sine-square deformation applied to classical Ising models

Chisa Hotta, Takashi Nakamaniwa, Tota Nakamura

研究成果: Article査読

2 被引用数 (Scopus)


Sine-square deformation (SSD) is a treatment proposed in quantum systems, which spatially modifies a Hamiltonian, gradually decreasing the local energy scale from the center of the system toward the edges by a sine-squared envelope function. It is known to serve as a good boundary condition as well as to provide physical quantities reproducing those of the infinite-size systems. We apply the SSD to one- and two-dimensional classical Ising models. Based on the analytical calculations and Monte Carlo simulations, we find that the classical SSD system is regarded as an extended canonical ensemble of a local subsystem, each characterized by its own effective temperature. This effective temperature is defined by normalizing the system temperature by the deformed local energy scale. A single calculation for a given system temperature provides a set of physical quantities of various temperatures that quantitatively reproduces well those of the uniform system.

ジャーナルPhysical Review E
出版ステータスPublished - 2021 9月

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学


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