scholarly journals Properties of the multicritical point of±JIsing spin glasses on the square lattice

2006 ◽  
Vol 74 (13) ◽  
Author(s):  
Jean C. Lessa ◽  
S. L. A. de Queiroz
Keyword(s):  
Spin Glasses ◽  
Square Lattice ◽  
Multicritical Point

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 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 PHASE DIAGRAM OF A LOOP ON THE SQUARE LATTICE

1999 ◽  
Vol 10 (01) ◽  
pp. 301-308 ◽  
Author(s):  
WENAN GUO ◽  
HENK W. J. BLÖTE ◽  
BERNARD NIENHUIS
Keyword(s):  
Phase Diagram ◽  
Transfer Matrix ◽  
Critical Line ◽  
Finite Size ◽  
Square Lattice ◽  
Size Analysis ◽  
Loop Model ◽  
Multicritical Point ◽  
Variable Parameters ◽  
Special Case

The phase diagram of the O (n) model, in particular the special case n=0, is studied by means of transfer-matrix calculations on the loop representation of the O (n) model. The model is defined on the square lattice; the loops are allowed to collide at the lattice vertices, but not to intersect. The loop model contains three variable parameters that determine the loop density or temperature, the energy of a bend in a loop, and the interaction energy of colliding loop segments. A finite-size analysis of the transfer-matrix results yields the phase diagram in a special plane of the parameter space. These results confirm the existence of a multicritical point and an Ising-like critical line in the low-temperature O (n) phase.

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
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