Anderson transitions

F Evers, AD Mirlin - Reviews of Modern Physics, 2008 - APS
The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

Colloquium: Transport in strongly correlated two dimensional electron fluids

B Spivak, SV Kravchenko, SA Kivelson, XPA Gao - Reviews of modern physics, 2010 - APS
An overview of the measured transport properties of the two dimensional electron fluids in
high mobility semiconductor devices with low electron densities is presented as well as …

Geometrical structure of Laplacian eigenfunctions

DS Grebenkov, BT Nguyen - siam REVIEW, 2013 - SIAM
We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in
bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We …

Universality classes of the Anderson transitions driven by non-Hermitian disorder

X Luo, T Ohtsuki, R Shindou - Physical Review Letters, 2021 - APS
The interplay between non-Hermiticity and disorder plays an important role in condensed
matter physics. Here, we report the universal critical behaviors of the Anderson transitions …

Deep learning the quantum phase transitions in random two-dimensional electron systems

T Ohtsuki, T Ohtsuki - Journal of the Physical Society of Japan, 2016 - journals.jps.jp
Random electron systems show rich phases such as Anderson insulator, diffusive metal,
quantum Hall and quantum anomalous Hall insulators, Weyl semimetal, as well as …

Topological delocalization of two-dimensional massless Dirac fermions

K Nomura, M Koshino, S Ryu - Physical review letters, 2007 - APS
The beta function of a two-dimensional massless Dirac Hamiltonian subject to a random
scalar potential, which, eg, underlies theoretical descriptions of graphene, is computed …

Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class

K Slevin, T Ohtsuki - New Journal of Physics, 2014 - iopscience.iop.org
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 …

Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states

Y Zhang, A Vishwanath - Physical review letters, 2010 - APS
We study Aharonov-Bohm (AB) conductance oscillations arising from the surface states of a
topological insulator nanowire, when a magnetic field is applied along its length. With strong …

Random network models and quantum phase transitions in two dimensions

B Kramer, T Ohtsuki, S Kettemann - Physics reports, 2005 - Elsevier
An overview of the random network model invented by Chalker and Coddington, and its
generalizations, is provided. After a short introduction into the physics of the Integer …

Unifying the Anderson transitions in Hermitian and non-Hermitian systems

X Luo, Z Xiao, K Kawabata, T Ohtsuki, R Shindou - Physical Review Research, 2022 - APS
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 …