Mean-field theory of localization in a fuse model

Mean-Field Theory and ε Expansion for Anderson Localization

A general field-theoretic formulation of the Anderson model for the localization of wave functions in a random potential is given in terms of n-component replicated fields in the limit n→0, and is analyzed primarily for spatial dimension d≥4. Lengths ξ1 and ξ2 associated with the spatial decay of correlations in the singleparticle and two-particle Green's functions, respectively, are introduced...

Random-field Blume-Capel model: Mean-field theory.

Weighted Mean Field Theory for the Random Field Ising Model

We consider the mean field theory of the Random Field Ising Model obtained by weighing the many solutions of the mean field equations with Boltzmann-like factors. These solutions are found numerically in three dimensions and we observe critical behavior arising from the weighted sum. The resulting exponents are calculated.

Embedded mean-field theory.

We introduce embedded mean-field theory (EMFT), an approach that flexibly allows for the embedding of one mean-field theory in another without the need to specify or fix the number of particles in each subsystem. EMFT is simple, is well-defined without recourse to parameters, and inherits the simple gradient theory of the parent mean-field theories. In this paper, we report extensive benchmarki...

Dynamical mean-field theory