scholarly journals Random Field Ising Model: Dimensional Reduction or Spin-Glass Phase?

1995 ◽  
Vol 5 (8) ◽  
pp. 987-1001 ◽  
Author(s):  
C. De Dominicis ◽  
H. Orland ◽  
T. Temesvari
Keyword(s):  
Ising Model ◽  
Random Field ◽  
Spin Glass ◽  
Dimensional Reduction ◽  
Glass Phase ◽  
Random Field Ising Model ◽  
Spin Glass Phase

scholarly journals Elusive Spin-Glass Phase in the Random Field Ising Model

2010 ◽  
Vol 104 (20) ◽  
Author(s):  
Florent Krzakala ◽  
Federico Ricci-Tersenghi ◽  
Lenka Zdeborová
Keyword(s):  
Ising Model ◽  
Random Field ◽  
Spin Glass ◽  
Glass Phase ◽  
Random Field Ising Model ◽  
Spin Glass Phase

scholarly journals Restoration of dimensional reduction in the random-field Ising model at five dimensions

2017 ◽  
Vol 95 (4) ◽  
Author(s):  
Nikolaos G. Fytas ◽  
Víctor Martín-Mayor ◽  
Marco Picco ◽  
Nicolas Sourlas
Keyword(s):  
Ising Model ◽  
Random Field ◽  
Dimensional Reduction ◽  
Random Field Ising Model ◽  
Five Dimensions

Spin-glass phase in the site Ising model

1979 ◽  
Vol 12 (14) ◽  
pp. 2839-2846 ◽  
Author(s):  
S Katsura ◽  
S Fujiki ◽  
S Inawashiro
Keyword(s):  
Ising Model ◽  
Spin Glass ◽  
Glass Phase ◽  
Spin Glass Phase

scholarly journals No spin glass phase in the ferromagnetic random-field random-temperature scalar Ginzburg–Landau model

2011 ◽  
Vol 44 (4) ◽  
pp. 042003 ◽  
Author(s):  
Florent Krzakala ◽  
Federico Ricci-Tersenghi ◽  
David Sherrington ◽  
Lenka Zdeborová
Keyword(s):  
Random Field ◽  
Spin Glass ◽  
Glass Phase ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Spin Glass Phase ◽  
Temperature Scalar

scholarly journals Random field Ising model and Parisi-Sourlas supersymmetry. Part II. Renormalization group

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Apratim Kaviraj ◽  
Slava Rychkov ◽  
Emilio Trevisani
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Ising Model ◽  
Random Field ◽  
Dimensional Reduction ◽  
Critical Dimension ◽  
Random Field Ising Model ◽  
Upper Critical Dimension ◽  
Anomalous Dimensions ◽  
Weakly Coupled

Abstract We revisit perturbative RG analysis in the replicated Landau-Ginzburg description of the Random Field Ising Model near the upper critical dimension 6. Working in a field basis with manifest vicinity to a weakly-coupled Parisi-Sourlas supersymmetric fixed point (Cardy, 1985), we look for interactions which may destabilize the SUSY RG flow and lead to the loss of dimensional reduction. This problem is reduced to studying the anomalous dimensions of “leaders” — lowest dimension parts of Sn-invariant perturbations in the Cardy basis. Leader operators are classified as non-susy-writable, susy-writable or susy-null depending on their symmetry. Susy-writable leaders are additionally classified as belonging to superprimary multiplets transforming in particular OSp(d|2) representations. We enumerate all leaders up to 6d dimension ∆ = 12, and compute their perturbative anomalous dimensions (up to two loops). We thus identify two perturbations (with susy- null and non-susy-writable leaders) becoming relevant below a critical dimension dc ≈ 4.2 - 4.7. This supports the scenario that the SUSY fixed point exists for all 3 < d ⩽ 6, but becomes unstable for d < dc.

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