A Challenge for Critical Point of Spin Glass in Ground State

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概要

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• We show several calculations to identify the critical point in the ground state in random spin systems including spin glasses on the basis of the duality analysis. The duality analysis is a profound method to obtain the precise location of the critical point in finite temperature even for spin glasses. We propose a single equality for identifying the critical point in the ground state from several speculations. The equality can indeed give the exact location of the critical points for the bond-dilution Ising model on several lattices and provides insight on further analysis on the ground state in spin glasses.

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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