Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class
We report a careful finite size scaling study of the metal–insulator transition in Anderson's
model of localization. We focus on the estimation of the critical exponent ν that describes the …
model of localization. We focus on the estimation of the critical exponent ν that describes the …
Unifying the Anderson transitions in Hermitian and non-Hermitian systems
Non-Hermiticity enriches the tenfold Altland-Zirnbauer symmetry class into the 38-fold
symmetry class, where critical behavior of the Anderson transitions (ATs) has been …
symmetry class, where critical behavior of the Anderson transitions (ATs) has been …
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 …
General approach to the critical phase with coupled quasiperiodic chains
In disordered systems, wave functions in the Schrödinger equation may exhibit a transition
from the extended phase to the localized phase, in which the states at the boundaries or …
from the extended phase to the localized phase, in which the states at the boundaries or …
Of bulk and boundaries: Generalized transfer matrices for tight-binding models
We construct a generalized transfer matrix corresponding to noninteracting tight-binding
lattice models, which can subsequently be used to compute the bulk bands as well as the …
lattice models, which can subsequently be used to compute the bulk bands as well as the …
[图书][B] A computational non-commutative geometry program for disordered topological insulators
E Prodan - 2017 - books.google.com
This work presents a computational program based on the principles of non-commutative
geometry and showcases several applications to topological insulators. Noncommutative …
geometry and showcases several applications to topological insulators. Noncommutative …
Criticality of two-dimensional disordered Dirac fermions in the unitary class and universality of the integer quantum Hall transition
Two-dimensional (2D) Dirac fermions are a central paradigm of modern condensed matter
physics, describing low-energy excitations in graphene, in certain classes of …
physics, describing low-energy excitations in graphene, in certain classes of …
Numerical evidence for marginal scaling at the integer quantum Hall transition
EJ Dresselhaus, B Sbierski, IA Gruzberg - Annals of Physics, 2021 - Elsevier
The integer quantum Hall transition (IQHT) is one of the most mysterious members of the
family of Anderson transitions. Since the 1980s, the scaling behavior near the IQHT has …
family of Anderson transitions. Since the 1980s, the scaling behavior near the IQHT has …
Quantum multifractality as a probe of phase space in the Dicke model
MA Bastarrachea-Magnani, D Villaseñor… - Physical Review E, 2024 - APS
We study the multifractal behavior of coherent states projected in the energy eigenbasis of
the spin-boson Dicke Hamiltonian, a paradigmatic model describing the collective …
the spin-boson Dicke Hamiltonian, a paradigmatic model describing the collective …
Finite-Size Effects and Irrelevant Corrections to Scaling Near the Integer Quantum<? format?> Hall Transition
We present a numerical finite-size scaling study of the localization length in long cylinders
near the integer quantum Hall transition employing the Chalker-Coddington network model …
near the integer quantum Hall transition employing the Chalker-Coddington network model …