Multicritical Points of Potts Spin Glasses on the Triangular Lattice(General)

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概要

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• We predict the locations of several multicritical points of the Potts spin glass model on the triangular lattice. In particular, continuous multicritical lines, which consist of multicritical points, are obtained for two types of two-state Potts (i.e., Ising) spin glasses with two- and three-body interactions on the triangular lattice. These results provide us with numerous examples to further verify the validity of the conjecture, which has succeeded in deriving highly precise locations of multicritical points for several spin glass models. The technique, called the direct triangular duality, a variant of the ordinary duality transformation, directly relates the triangular lattice with its dual triangular lattice in conjunction with the replica method.

• 社団法人日本物理学会の論文
• 2007-11-15

著者

• Ohzeki Masayuki

  Department Of Physics Tokyo Institute Of Technology

関連論文

• Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices (General)
• Internal Energy of the Potts Model on the Triangular Lattice with Two- and Three-Body Interactions(General)
• Multicritical Points of Potts Spin Glasses on the Triangular Lattice(General)
• Nonequilibrium Work on Spin Glasses in Longitudinal and Transverse Fields
• Nonequilibrium Relations for Spin Glasses with Gauge Symmetry
• Variational Principle in Langevin Processes
• A Challenge for Critical Point of Spin Glass in Ground State
• Jarzynski Equality for an Energy-Controlled System

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