scholarly journals Multicritical Point on the de Almeida–Thouless Line in Spin Glasses in d>6 Dimensions

2018 ◽  
Vol 120 (13) ◽  
Author(s):  
M. A. Moore ◽  
N. Read
Keyword(s):  
Spin Glasses ◽  
Multicritical Point

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 and Multicritical Point of Two-Dimensional Spin Glasses

2002 ◽  
Vol 71 (4) ◽  
pp. 1198-1199 ◽  
Author(s):  
Hidetoshi Nishimori ◽  
Koji Nemoto
Keyword(s):  
Spin Glasses ◽  
Two Dimensional ◽  
Multicritical Point

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 εexpansion for the Nishimori multicritical point of spin glasses

1989 ◽  
Vol 40 (13) ◽  
pp. 9249-9252 ◽  
Author(s):  
Pierre Le Doussal ◽  
A. Brooks Harris
Keyword(s):  
Spin Glasses ◽  
Multicritical Point
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