21 citations · 81 across the 10 of their papers we have counts for
6 papers · 1 filter
Topological Dimensions from Disorder and Quantum Mechanics?
Ivan Horváth, Peter Markoš
We have recently shown that critical Anderson electron in dimensions effectively occupies a spatial region of infrared (IR) scaling dimension . Here…
Comment on the paper I. M. Suslov: Finite Size Scaling from the Self Consistent Theory of Localization
Peter Markos
In the recent paper [I.M.Suslov, JETP {\bf 114} (2012) 107] a new scaling theory of electron localization was proposed. We show that numerical data for the quasi-one dimensional An…
Scaling at chiral quantum critical points in two dimensions
L. Schweitzer, P. Markos
We study the localization properties of electrons moving on two-dimensional bi-partite lattices in the presence of disorder. The models investigated exhibit a chiral symmetry and b…
Two-dimensional electron systems beyond the diffusive regime
P. Markos
Transport properties of disordered electron system can be characterized by the conductance, Lyapunov exponent, or level spacing. Two additional parameters, and were in…
Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices
P. Markos, L. Schweitzer
We analyze the scaling behavior of the two smallest Lyapunov exponents for electrons propagating on two-dimensional lattices with energies within a very narrow interval around the…
Electron transport in strongly disordered structures
P. Markos
Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is h…