20 citations · 133 across the 14 of their papers we have counts for
14 papers
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…
Stability of topologically protected slow light against disorder
Jonas F. Karcher, Sarang Gopalakrishnan, Mikael C. Rechtsman
Slowing down light in on-chip photonic devices strongly enhances light-matter interaction, but typically also leads to increased backscattering and small-bandwidth operation. It wa…
Extended critical phase in quasiperiodic quantum Hall systems
Jonas F Karcher, Romain Vasseur, Sarang Gopalakrishnan
We consider the effects of quasiperiodic spatial modulation on the quantum Hall plateau transition, by analyzing the Chalker-Coddington network model for the integer quantum Hall t…
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…
Generalized multifractality at the spin quantum Hall transition: Percolation mapping and pure-scaling observables
Jonas F. Karcher, Ilya A. Gruzberg, Alexander D. Mirlin
This work extends the analysis of the generalized multifractality of critical eigenstates at the spin quantum Hall transition in two-dimensional disordered superconductors [J. F. K…
Generalized multifractality at spin quantum Hall transition
Jonas F. Karcher, Noah Charles, Ilya A. Gruzberg +1
Generalized multifractality characterizes scaling of eigenstate observables at Anderson-localization critical points. We explore generalized multifractality in 2D systems, with the…
How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all the way down
Jonas F. Karcher, Matthew S. Foster
We review recent numerical studies of two-dimensional (2D) Dirac fermion theories that exhibit an unusual mechanism of topological protection against Anderson localization. These d…
Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
Paul Pöpperl, Elmer V. H. Doggen, Jonas F. Karcher +2
We explore dynamics of disordered and quasi-periodic interacting lattice models using a self-consistent time-dependent Hartree-Fock (TDHF) approximation, accessing both large syste…
Spectrum-wide quantum criticality at the surface of class AIII topological phases: An "energy stack" of integer quantum Hall plateau transitions
Björn Sbierski, Jonas Karcher, Matthew S. Foster
In the absence of spin-orbit coupling, the conventional dogma of Anderson localization asserts that all states localize in two dimensions, with a glaring exception: the quantum Hal…
Disorder and interaction in chiral chains: Majoranas vs complex fermions
Jonas F. Karcher, Michael Sonner, Alexander D. Mirlin
We study the low-energy physics of a chain of Majorana fermions in the presence of interaction and disorder, emphasizing the difference between Majoranas and conventional (complex)…