scholarly journals Uniqueness of Translation-Covariant Zero-Temperature Metastate in Disordered Ising Ferromagnets

2015 ◽  
Vol 162 (2) ◽  
pp. 487-494 ◽  
Author(s):  
Jan Wehr ◽  
Aramian Wasielak
Keyword(s):  
Zero Temperature ◽  
Ising Ferromagnets

scholarly journals Fate of zero-temperature Ising ferromagnets

2001 ◽  
Vol 63 (3) ◽  
Author(s):  
V. Spirin ◽  
P. L. Krapivsky ◽  
S. Redner
Keyword(s):  
Zero Temperature ◽  
Ising Ferromagnets

scholarly journals Loop expansion around the Bethe solution for the random magnetic field Ising ferromagnets at zero temperature

2020 ◽  
Vol 117 (5) ◽  
pp. 2268-2274
Author(s):  
Maria Chiara Angelini ◽  
Carlo Lucibello ◽  
Giorgio Parisi ◽  
Federico Ricci-Tersenghi ◽  
Tommaso Rizzo
Keyword(s):  
Magnetic Field ◽  
Fixed Point ◽  
Disordered Systems ◽  
Effective Theory ◽  
Zero Temperature ◽  
Random Field Ising Model ◽  
Loop Expansion ◽  
Random Magnetic Field ◽  
Ising Ferromagnets ◽  
The One

We apply to the random-field Ising model at zero temperature (T=0) the perturbative loop expansion around the Bethe solution. A comparison with the standard ϵ expansion is made, highlighting the key differences that make the expansion around the Bethe solution much more appropriate to correctly describe strongly disordered systems, especially those controlled by a T=0 renormalization group (RG) fixed point. The latter loop expansion produces an effective theory with cubic vertices. We compute the one-loop corrections due to cubic vertices, finding additional terms that are absent in the ϵ expansion. However, these additional terms are subdominant with respect to the standard, supersymmetric ones; therefore, dimensional reduction is still valid at this order of the loop expansion.

Erratum: Dilute spin glass at zero temperature in general dimension

1991 ◽  
Vol 43 (16) ◽  
pp. 13684-13685
Author(s):  
Lior Klein ◽  
Joan Adler ◽  
Amnon Aharony ◽  
A. B. Harris ◽  
Yigal Meir
Keyword(s):  
Spin Glass ◽  
Zero Temperature ◽  
General Dimension
Sign in / Sign up

Export Citation Format

Share Document