18 citations · 78 across the 10 of their papers we have counts for
11 papers · 1 filter
The effect of hyperuniform disorder on band gaps
Jonas F. Karcher, Sarang Gopalakrishnan, Mikael C. Rechtsman
The properties of semiconductors, insulators, and photonic crystals are defined by their electronic or photonic bands, and the gaps between them. When the material is disordered, L…
Generalized surface multifractality in 2D disordered systems
Serafim S. Babkin, Jonas F. Karcher, Igor S. Burmistrov +1
Recently, a concept of generalized multifractality, which characterizes fluctuations and correlations of critical eigenstates, was introduced and explored for all ten symmetry clas…
Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
Jan-Niklas Herre, Jonas F. Karcher, Konstantin S. Tikhonov +1
Anderson localization on random regular graphs (RRG) serves as a toy-model of many-body localization (MBL). We explore the transition for ergodicity to localization on RRG with lar…
Generalized multifractality in 2D disordered systems of chiral symmetry classes
Jonas F. Karcher, Ilya A. Gruzberg, Alexander D. Mirlin
We study generalized multifractality that characterizes eigenstate fluctuations and correlations in disordered systems of chiral symmetry classes AIII, BDI, and CII. By using the n…
Metal-insulator transition in a 2D system of chiral unitary class
Jonas F. Karcher, Ilya A. Gruzberg, Alexander D. Mirlin
We perform a numerical investigation of Anderson metal-insulator transition (MIT) in a twodimensional system of chiral symmetry class AIII by combining finite-size scaling, transpo…
Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
Jonas F. Karcher, Ilya A. Gruzberg, Alexander D. Mirlin
We study generalized multifractality characterizing fluctuations and correlations of eigenstates in disordered systems of symmetry classes AII, D, and DIII. Both metallic phases an…