3k citations · 5.6k across the 51 of their papers we have counts for
49 papers
Low-Dimensional Life of Critical Anderson Electron
Ivan Horváth, Peter Markoš
We show that critical Anderson electron in 3 dimensions is present in its spatial effective support, which was recently determined to be a region of fractal dimension $\approx \! 8…
Counting-Based Effective Dimension and Discrete Regularizations
Ivan Horváth, Peter Markoš, Robert Mendris
Fractal-like structures of varying complexity are common in nature, and measure-based dimensions (Minkowski, Hausdorff) supply their basic geometric characterization. However, at t…
Super-Universality in Anderson Localization
Ivan Horváth, Peter Markoš
We calculate the effective spatial dimension of electron modes at critical points of 3D Anderson models in various universality classes (O,U,S,AIII). The results are…
Universality of phonon transport in surface-roughness dominated nanowires
P. Markos, K. A. Muttalib
We analyze, both theoretically and numerically, the temperature dependent thermal conductivity \k{appa} of two-dimensional nanowires with surface roughness. Although each sample is…
Origin of folded bands in metamaterial crystals
Peter Markos, Richard Hlubina
Recently it has been found numerically that the spectra of metamaterial crystals may contain pairs of bands which disappear inside the Brillouin zone. We observe that the wave equa…
Coupling between Fano and Bragg bands in photonic band structure of two-dimensional metallic photonic structures
Peter Markos, Vladimir Kuzmiak
Frequency and transmission spectrum of two-dimensional array of metallic rods is investigated numerically. Based on the recent analysis of the band structure of two-dimensional pho…