scholarly journals Exact location of the multicritical point for finite-dimensional spin glasses: a conjecture

2005 ◽  
Vol 38 (17) ◽  
pp. 3751-3774 ◽  
Author(s):  
Koujin Takeda ◽  
Tomohiro Sasamoto ◽  
Hidetoshi Nishimori
Keyword(s):  
Spin Glasses ◽  
Multicritical Point ◽  
Exact Location ◽  
Finite Dimensional

scholarly journals POSSIBLY EXACT SOLUTION FOR THE MULTICRITICAL POINT OF FINITE-DIMENSIONAL SPIN GLASSES

2006 ◽  
Vol 20 (19) ◽  
pp. 2805-2813
Author(s):  
HIDETOSHI NISHIMORI ◽  
KOUJIN TAKEDA ◽  
TOMOHIRO SASAMOTO
Keyword(s):  
Phase Diagram ◽  
Exact Solution ◽  
Spin Glasses ◽  
Lattice Gauge Theory ◽  
Square Lattice ◽  
Temperature Transition ◽  
Multicritical Point ◽  
Random Lattice ◽  
Finite Dimensional ◽  
Lattice Gauge

After briefly describing the present status of the spin glass theory, we present a conjecture on the exact location of the multicritical point in the phase diagram of finite-dimensional spin glasses. The theory enables us to understand in a unified way many numerical results for two-, three- and four-dimensional models including the ±J Ising model, random Potts model, random lattice gauge theory, and random Zq model. It is also suggested from the same theoretical framework that models with symmetric distribution of randomness in exchange interaction have no finite-temperature transition on the square lattice.

scholarly journals Multicritical point of spin glasses

2010 ◽  
Vol 389 (15) ◽  
pp. 2907-2910 ◽  
Author(s):  
Hidetoshi Nishimori ◽  
Masayuki Ohzeki
Keyword(s):  
Spin Glasses ◽  
Multicritical Point

scholarly journals Duality in Finite-Dimensional Spin Glasses

2006 ◽  
Vol 126 (4-5) ◽  
pp. 977-986 ◽  
Author(s):  
Hidetoshi Nishimori
Keyword(s):  
Spin Glasses ◽  
Finite Dimensional

scholarly journals Inference algorithm for finite-dimensional spin glasses: Belief propagation on the dual lattice

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
Alejandro Lage-Castellanos ◽  
Roberto Mulet ◽  
Federico Ricci-Tersenghi ◽  
Tommaso Rizzo
Keyword(s):  
Spin Glasses ◽  
Belief Propagation ◽  
Inference Algorithm ◽  
Dual Lattice ◽  
Finite Dimensional
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