Surface criticality and multifractality at localization transitions

AR Subramaniam, IA Gruzberg, AWW Ludwig, F Evers… - Physical review …, 2006 - APS
We develop the concept of surface multifractality for localization-delocalization (LD)
transitions in disordered electronic systems. We point out that the critical behavior of various …

Boundary criticality and multifractality at the two-dimensional spin quantum Hall transition

AR Subramaniam, IA Gruzberg, AWW Ludwig - Physical Review B …, 2008 - APS
Multifractal scaling of critical wave functions at a disorder-driven (Anderson) localization
transition is modified near boundaries of a sample. Here this effect is studied for the example …

Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions

H Obuse, A Furusaki, S Ryu, C Mudry - Physical Review B—Condensed Matter …, 2008 - APS
Static disorder in a noninteracting gas of electrons confined to two dimensions can drive a
continuous quantum (Anderson) transition between a metallic and an insulating state when …

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 …

Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. I. Symmetry relation under typical averaging

LJ Vasquez, A Rodriguez, RA Römer - Physical Review B—Condensed Matter …, 2008 - APS
The multifractality of the critical eigenstate at the metal to insulator transition (MIT) in the
three-dimensional Anderson model of localization is characterized by its associated …

Multifractal analysis of disorder induced metal-insulator transitions

U Fastenrath, M Janβen, W Pook - Physica A: Statistical Mechanics and its …, 1992 - Elsevier
We give a physical picture for the multifractal nature of mesoscopic observables at the
disorder induced metal-insulator transition (MIT) and present their scaling laws in terms of …

Multifractality at Anderson transitions with Coulomb interaction

IS Burmistrov, IV Gornyi, AD Mirlin - Physical Review Letters, 2013 - APS
We explore mesoscopic fluctuations and correlations of the local density of states (LDOS)
near localization transition in a disordered interacting electronic system. It is shown that the …

Multifractality and Conformal Invariance at 2D Metal-Insulator Transition<? format?> in the Spin-Orbit Symmetry Class

H Obuse, AR Subramaniam, A Furusaki, IA Gruzberg… - Physical review …, 2007 - APS
We study the multifractality (MF) of critical wave functions at boundaries and corners at the
metal-insulator transition (MIT) for noninteracting electrons in the two-dimensional (2D) spin …

Conformal invariance, multifractality, and finite-size scaling at Anderson localization transitions in two dimensions

H Obuse, AR Subramaniam, A Furusaki… - Physical Review B …, 2010 - APS
We generalize universal relations between the multifractal exponent α 0 for the scaling of the
typical wave-function magnitude at a (Anderson) localization-delocalization transition in two …

Multifractality of the quantum Hall wave functions in higher Landau levels

T Terao, T Nakayama, H Aoki - Physical Review B, 1996 - APS
To probe the universality class of the quantum Hall system at the metal-insulator critical
point, the multifractality of the wave function ψ is studied for higher Landau levels, N= 1, 2 …