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 …
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 …
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
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 …
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 …
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 …
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 …
disorder induced metal-insulator transition (MIT) and present their scaling laws in terms of …
Multifractality at Anderson transitions with Coulomb interaction
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 …
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
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 …
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
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 …
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 …
point, the multifractality of the wave function ψ is studied for higher Landau levels, N= 1, 2 …