activity
20152018
most citedAnderson localization on random regular graphs

168 citations · 731 across the 10 of their papers we have counts for

collaborators

10 papers

cond-mat.mes-hall2018★ 57 cited

Stress-controlled Poisson ratio of a crystalline membrane: Application to graphene

I. S. Burmistrov, I. V. Gornyi V. Yu. Kachorovskii, M. I. Katsnelson +2

We demonstrate that a key elastic parameter of a suspended crystalline membrane---the Poisson ratio (PR) ---is a non-trivial function of the applied stress and of the system…

cond-mat.str-el2017★ 13 cited

Transmission through a potential barrier in Luttinger liquids with a topological spin gap

N. Kainaris, S. T. Carr, A. D. Mirlin

We study theoretically the transport of the one-dimensional single-channel interacting electron gas through a strong potential barrier in the parameter regime where the spin sector…

cond-mat.mes-hall2017★ 122 cited

Hydrodynamic approach to electronic transport in graphene

B. N. Narozhny, I. V. Gornyi, A. D. Mirlin +1

The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. In this paper we briefly review the recent ad…

cond-mat.mes-hall2016★ 59 cited

Quantum elasticity of graphene: Thermal expansion coefficient and specific heat

I. S. Burmistrov, I. V. Gornyi, V. Yu. Kachorovskii +2

We explore thermodynamics of a quantum membrane, with a particular application to suspended graphene membrane and with a particular focus on the thermal expansion coefficient. We s…

cond-mat.dis-nn2016★ 132 cited

Fractality of wave functions on a Cayley tree: Difference between a tree and a locally tree-like graph without boundary

K. S. Tikhonov, A. D. Mirlin

We investigate analytically and numerically eigenfunction statistics in a disordered system on a finite Bethe lattice (Cayley tree). We show that the wave function amplitude at the…

cond-mat.dis-nn2016★ 168 cited

Anderson localization on random regular graphs

K. S. Tikhonov, A. D. Mirlin, M. A. Skvortsov

A numerical study of Anderson transition on random regular graphs (RRG) with diagonal disorder is performed. The problem can be described as a tight-binding model on a lattice with…