Absence of Replica Symmetry Breaking in the Transverse and Longitudinal Random Field Ising Model

Journal of Statistical Physics ◽

10.1007/s10955-017-1950-4 ◽

2017 ◽

Vol 170 (4) ◽

pp. 684-699 ◽

Author(s):

C. Itoi

Keyword(s):

Ising Model ◽

Symmetry Breaking ◽

Random Field ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Random Field Ising Model

Download Full-text

Absence of Replica Symmetry Breaking in the Random Field Ising Model

Communications in Mathematical Physics ◽

10.1007/s00220-014-2269-5 ◽

2015 ◽

Vol 337 (1) ◽

pp. 93-102 ◽

Author(s):

Sourav Chatterjee

Keyword(s):

Ising Model ◽

Symmetry Breaking ◽

Random Field ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Random Field Ising Model

Download Full-text

Replica Symmetry Breaking in the Random Field Ising Model

EPL (Europhysics Letters) ◽

10.1209/0295-5075/18/7/014 ◽

1992 ◽

Vol 18 (7) ◽

pp. 653-659 ◽

Author(s):

M Mézard ◽

A. P Young

Keyword(s):

Ising Model ◽

Symmetry Breaking ◽

Random Field ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Random Field Ising Model

Download Full-text

Replica symmetry breaking in random-field systems

Physical Review B ◽

10.1103/physrevb.35.7267 ◽

1987 ◽

Vol 35 (13) ◽

pp. 7267-7270 ◽

Author(s):

J. R. L. de Almeida ◽

R. Bruinsma

Keyword(s):

Symmetry Breaking ◽

Random Field ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Download Full-text

Maximal mean-field solutions in the random field Ising model: the pattern of the symmetry breaking

Journal of Physics A General Physics ◽

10.1088/0305-4470/26/21/009 ◽

1993 ◽

Vol 26 (21) ◽

pp. 5675-5685 ◽

Author(s):

M Guagnelli ◽

E Marinari ◽

G Parisi

Keyword(s):

Ising Model ◽

Symmetry Breaking ◽

Random Field ◽

Random Field Ising Model

Download Full-text

Corrigendum: The random field XY model on sparse random graphs shows replica symmetry breaking and marginally stable ferromagnetism (2019 J. Phys. A: Math. Theor. 52 284001)

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/ac07e9 ◽

2021 ◽

Vol 54 (29) ◽

pp. 299501

Author(s):

Cosimo Lupo ◽

Giorgio Parisi ◽

Federico Ricci-Tersenghi

Keyword(s):

Symmetry Breaking ◽

Random Field ◽

Random Graphs ◽

Xy Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking

Download Full-text

The random field XY model on sparse random graphs shows replica symmetry breaking and marginally stable ferromagnetism

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/ab2287 ◽

2019 ◽

Vol 52 (28) ◽

pp. 284001 ◽

Author(s):

Cosimo Lupo ◽

Giorgio Parisi ◽

Federico Ricci-Tersenghi

Keyword(s):

Symmetry Breaking ◽

Random Field ◽

Random Graphs ◽

Xy Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking

Download Full-text

One-step replica-symmetry-breaking solution of the Sherrington–Kirkpatrick model under a Gaussian random field

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2011/07/p07014 ◽

2011 ◽

Vol 2011 (07) ◽

pp. P07014 ◽

Author(s):

S G Magalhães ◽

C V Morais ◽

F D Nobre

Keyword(s):

Symmetry Breaking ◽

Random Field ◽

Gaussian Random Field ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Kirkpatrick Model ◽

Download Full-text

Replica Symmetry Breaking Instability in the 2DXYModel in a Random Field

Physical Review Letters ◽

10.1103/physrevlett.74.606 ◽

1995 ◽

Vol 74 (4) ◽

pp. 606-609 ◽

Author(s):

Pierre Le Doussal ◽

Thierry Giamarchi

Keyword(s):

Symmetry Breaking ◽

Random Field ◽

Replica Symmetry ◽

Replica Symmetry Breaking

Download Full-text

No replica symmetry breaking phase in the random field Ginzburg-Landau model

Journal of Mathematical Physics ◽

10.1063/1.5088860 ◽

2019 ◽

Vol 60 (8) ◽

pp. 083304 ◽

Author(s):

C. Itoi ◽

Y. Utsunomiya

Keyword(s):

Symmetry Breaking ◽

Random Field ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Ginzburg Landau ◽

Download Full-text

The Sherrington–Kirkpatrick model in the presence of a bimodal random field: a one-step replica-symmetry-breaking approach

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2012/01/p01013 ◽

2012 ◽

Vol 2012 (01) ◽

pp. P01013 ◽

Author(s):

C V Morais ◽

S G Magalhães ◽

F D Nobre

Keyword(s):

Symmetry Breaking ◽

Random Field ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Kirkpatrick Model ◽

Download Full-text