Andrei A. Fedorenko

Dielectric response due to stochastic motion of pinned domain walls

We study the contribution of stochastic motion of a domain wall (DW) to the dielectric AC susceptibility for low frequencies. Using the concept of waiting time distributions, which is related to the energy landscape of the DW in a disordered medium, we derive the power-law behavior of the complex susceptibility observed recently in some ferroelectrics below Curie temperature.

Universal distribution of threshold forces at the depinning transition

We study the distribution of threshold forces at the depinning transition for an elastic system of finite size, driven by an external force in a disordered medium at zero temperature. Using the functional renormalization group technique, we compute the distribution of pinning forces in the quasistatic limit. This distribution is universal up to two parameters, the average critical force and its width. We discuss possible definitions for threshold forces in finite-size samples. We show how our results compare to the distribution of the latter computed recently within a numerical simulation of the so-called critical configuration.

On the disorder-driven quantum transition in three-dimensional relativistic metals

The Weyl semimetals are topologically protected from a gap opening against weak disorder in three dimensions. However, a strong disorder drives this relativistic semimetal through a quantum transition towards a diffusive metallic phase characterized by a finite density of states at the band crossing. This transition is usually described by a perturbative renormalization group in

New quantum transition in Weyl semimetals with correlated disorder

d=2+\varepsilon

Field Theory Conjecture for Loop-Erased Random Walks

of a

On the origin of minimal conductivity at a band crossing

U(N)

Random-field and random-anisotropy O(N) spin systems with a free surface.

Gross-Neveu model in the limit

Two dimensional Dirac fermions in the presence of long-range correlated disorder

N \to 0

Elastic systems with correlated disorder: Response to tilt and application to surface growth

. Unfortunately, this model is not multiplicatively renormalizable in

Critical behavior of the two-dimensional Ising model with long-range correlated disorder

2+\varepsilon