21 citations · 81 across the 10 of their papers we have counts for
11 papers
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…
Propagation of the surface plasmon polaritons through gradient index and periodic structures
Tomas Vary, Peter Markos
We study the propagation of surface electromagnetic waves along the metallic surface covered by various layered dielectric structures. We show that strong radiative losses typical…
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…
Disorder-driven splitting of the conductance peak at the Dirac point in graphene
L. Schweitzer, P. Markos
The electronic properties of a bricklayer model, which shares the same topology as the hexagonal lattice of graphene, are investigated numerically. We study the influence of random…
Critical conductance of two-dimensional chiral systems with random magnetic flux
P. Markos, L. Schweitzer
The zero temperature transport properties of two-dimensional lattice systems with static random magnetic flux per plaquette and zero mean are investigated numerically. We study the…
Conductance statistics near the Anderson transition
P. Markos
Paper reviews recent numerical data for the conductance distribution of disordered systems in the critical regime and in the localized regime. Of particular interest is the non-ana…
Metal-insulator transition in three dimensional Anderson model: universal scaling of higher Lyapunov exponents
P. Markos
Numerical studies of the Anderson transition are based on the finite-size scaling analysis of the smallest positive Lyapunov exponent. We prove numerically that the same scaling ho…