Calculated field cooled and zero field cooled magnetizations of the three‐dimensional Ising spin glass using Monte Carlo hard‐spin mean‐field theory (abstract)

1994 ◽  
Vol 76 (10) ◽  
pp. 6197-6197 ◽  
Author(s):  
Edwin A. Ames ◽  
Susan R. McKay
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Spin Glass ◽  
Mean Field Theory ◽  
Mean Field ◽  
Three Dimensional ◽  
Zero Field ◽  
Ising Spin Glass ◽  
Ising Spin

scholarly journals Ising spin glass with arbitrary spin beyond the mean field theory

1999 ◽  
Vol 59 (5) ◽  
pp. 5187-5191
Author(s):  
K. Walasek ◽  
K. Lukierska-Walasek ◽  
M. Wodawski
Keyword(s):  
Field Theory ◽  
Spin Glass ◽  
Mean Field Theory ◽  
Mean Field ◽  
Arbitrary Spin ◽  
Ising Spin Glass ◽  
Ising Spin ◽  
The Mean

Mean-field theory of the transverse-field Ising spin glass in the classical limit

1997 ◽  
Vol 56 (18) ◽  
pp. 11715-11720 ◽  
Author(s):  
Mai Suan Li ◽  
Krzysztof Walasek ◽  
Marek Cieplak
Keyword(s):  
Field Theory ◽  
Spin Glass ◽  
Classical Limit ◽  
Mean Field Theory ◽  
Mean Field ◽  
Transverse Field ◽  
Ising Spin Glass ◽  
Ising Spin

Ferrimagnetic mixed Ising spin (7/2, 1/2) system: By Mean Field Theory, exact recursion relations and Monte Carlo method

2021 ◽  
pp. 413627
Author(s):  
G. Dimitri Ngantso ◽  
M. Karimou ◽  
A.L. Okana-Lomanga ◽  
A. Kadiri ◽  
R.A. Yessoufou ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Mean Field Theory ◽  
Mean Field ◽  
Recursion Relations ◽  
Ising Spin

ISING SPIN GLASS: RECENT PROGRESS IN THE FIELD THEORY APPROACH

1993 ◽  
Vol 07 (01n03) ◽  
pp. 986-992 ◽  
Author(s):  
C. DE DOMINICIS ◽  
I. KONDOR ◽  
T. TEMESVARI
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Critical Dimension ◽  
Zero Field ◽  
Theory Approach ◽  
Replica Symmetry ◽  
Numerical Work ◽  
Upper Critical Dimension ◽  
Ising Spin

A loop expansion around Parisi's replica symmetry breaking mean field theory is constructed, in zero field. We obtain the equation of state (and associated Parisi's solution) below the upper critical dimension du=6, and, in particular, explicit corrections in εlnt and (εlnt)2 with t=(Tc−T)/Tc and ε=6−d. This allows us to verify that standard scaling is satisfied with β=1+ε/2+0(ε2). We have also investigated the transverse (replicon) correlation function, particularly at zero overlap. Near du, G00 (p) ~ t/P4 (for p~0) is the most obvious obstacle to a meaningful theory in d=3. If we make the twofold assumption that (i) scaling applies, and (ii) the replicon propagator is dominated by the spectrum of the (small) transverse masses, we obtain the softer behavior G00(p) ~ (1/p2–η). (t/p1/v)β and a prediction for a soft replicon spectrum in tγk2γ/β γ/β instead of tk2 at du. We have checked tγ to one loop and work is in progress to check k2γ/β to the same order. Taking the above divergence in p−(d+2−η)/2 as the leading divergence defines the lower critical dimension d ℓ by d ℓ=2−η (d ℓ). Known values of η (at d=6, from the ε expansion at Tc, or from numerical work at d=4, 3) are compatible with d ℓ ~ 2.5±.3.

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