Conformal invariance and multifractality at Anderson transitions in arbitrary dimensions
J Padayasi, I Gruzberg - Physical Review Letters, 2023 - APS
Multifractals arise in various systems across nature whose scaling behavior is characterized
by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …
by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …
Generalized multifractality at metal-insulator transitions and in metallic phases of two-dimensional disordered systems
JF Karcher, IA Gruzberg, AD Mirlin - Physical Review B, 2022 - APS
We study generalized multifractality characterizing fluctuations and correlations of
eigenstates in disordered systems of symmetry classes AII, D, and DIII. Both metallic phases …
eigenstates in disordered systems of symmetry classes AII, D, and DIII. Both metallic phases …
Metal-insulator transition in a two-dimensional system of chiral unitary class
JF Karcher, IA Gruzberg, AD Mirlin - Physical Review B, 2023 - APS
We perform a numerical investigation of Anderson metal-insulator transition (MIT) in a two-
dimensional system of chiral symmetry class AIII by combining finite-size scaling, transport …
dimensional system of chiral symmetry class AIII by combining finite-size scaling, transport …
Generalized multifractality in two-dimensional disordered systems of chiral symmetry classes
JF Karcher, IA Gruzberg, AD Mirlin - Physical Review B, 2023 - APS
We study generalized multifractality that characterizes eigenstate fluctuations and
correlations in disordered systems of chiral symmetry classes AIII, BDI, and CII. By using the …
correlations in disordered systems of chiral symmetry classes AIII, BDI, and CII. By using the …
Extended critical phase in quasiperiodic quantum Hall systems
We consider the effects of quasiperiodic spatial modulation on the quantum Hall plateau
transition by analyzing the Chalker-Coddington network model with quasiperiodically …
transition by analyzing the Chalker-Coddington network model with quasiperiodically …
Generalized surface multifractality in two-dimensional disordered systems
Recently, a concept of generalized multifractality, which characterizes fluctuations and
correlations of critical eigenstates, was introduced and explored for all 10 symmetry classes …
correlations of critical eigenstates, was introduced and explored for all 10 symmetry classes …
Generalized multifractality in the spin quantum Hall symmetry class with interaction
SS Babkin, IS Burmistrov - Physical Review B, 2022 - APS
Scaling of various local observables with a system size at Anderson transition criticality is
characterized by a generalized multifractality. We study the generalized multifractality in the …
characterized by a generalized multifractality. We study the generalized multifractality in the …
Boundary multifractality in the spin quantum Hall symmetry class with interaction
SS Babkin, IS Burmistrov - Physical Review B, 2023 - APS
Generalized multifractality characterizes system size dependence of pure scaling local
observables at Anderson transitions in all 10 symmetry classes of disordered systems …
observables at Anderson transitions in all 10 symmetry classes of disordered systems …
Instanton analysis for the spin quantum Hall symmetry class: Non-perturbative corrections to physical observables and generalized multifractal spectrum
M Parfenov, I Burmistrov - arXiv preprint arXiv:2408.01498, 2024 - arxiv.org
Recently, there has been renewed interest in studies of criticality in the spin quantum Hall
effect, realized in the Altland-Zirnbauer symmetry class C of disordered, noninteracting …
effect, realized in the Altland-Zirnbauer symmetry class C of disordered, noninteracting …
[PDF][PDF] Generalized multifractality in the spin quantum Hall symmetry class
S Babkin - 2023 - chair.itp.ac.ru
Scaling of various local observables with a system size at Anderson transition criticality is
characterized by a generalized multifractality. To begin with, we study surface generalized …
characterized by a generalized multifractality. To begin with, we study surface generalized …