97 citations · 314 across the 11 of their papers we have counts for
11 papers
Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes
Zhenyu Xiao, Kohei Kawabata, Xunlong Luo +2
We study quantum phase transitions of three-dimensional disordered systems in the chiral classes (AIII and BDI) with and without weak topological indices. We show that the systems…
Universality classes of the Anderson transitions driven by quasiperiodic potential in the three-dimensional Wigner-Dyson symmetry classes
Xunlong Luo, Tomi Ohtsuki
Quasiperiodic system is an intermediate state between periodic and disordered systems with unique delocalization-localization transition driven by the quasiperiodic potential (QP).…
Level statistics of real eigenvalues in non-Hermitian systems
Zhenyu Xiao, Kohei Kawabata, Xunlong Luo +2
Symmetries associated with complex conjugation and Hermitian conjugation, such as time-reversal symmetry and pseudo-Hermiticity, have great impact on eigenvalue spectra of non-Herm…
Unifying the Anderson Transitions in Hermitian and Non-Hermitian Systems
Xunlong Luo, Zhenyu Xiao, Kohei Kawabata +2
Non-Hermiticity enriches the 10-fold Altland-Zirnbauer symmetry class into the 38-fold symmetry class, where critical behavior of the Anderson transitions (ATs) has been extensivel…
Transfer matrix study of the Anderson transition in non-Hermitian systems
Xunlong Luo, Tomi Ohtsuki, Ryuichi Shindou
In this paper, we present in-depth transfer matrix analyses of the Anderson transition in three non-Hermitian (NH) systems, NH Anderson, U(1) and Peierls models, that belong to NH…
Universality classes of the Anderson Transitions Driven by non-Hermitian Disorder
Xunlong Luo, Tomi Ohtsuki, Ryuichi Shindou
An 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…
Critical Behaviors of Anderson Transitions in Three Dimensional Orthogonal Classes with Particle-hole Symmetries
Xunlong Luo, Baolong Xu, Tomi Ohtsuki +1
From transfer-matrix calculation of localization lengths and their finite-size scaling analyses, we evaluate critical exponents of the Anderson metal-insulator transition in three…
Unconventional scaling theory in disorder-driven quantum phase transition
Xunlong Luo, Tomi Ohtsuki, Ryuichi Shindou
We clarify novel forms of scaling functions of conductance, critical conductance distribution and localization length in a disorder-driven quantum phase transition between band ins…
Quantum Multicriticality in Disordered Weyl Semimetal
Xunlong Luo, Baolong Xu, Tomi Ohtsuki +1
In electronic band structure of solid state material, two band touching points with linear dispersion appear in pair in the momentum space. When they annihilate with each other, th…
Classically and Quantum Integrable Systems with Boundary
Yi-Xin Chen, Xu-Dong Luo, Ke Wu
We study two-dimensional classically integrable field theory with independent boundary condition on each end, and obtain three possible generating functions for integrals of motion…
Quantum Dynamical - Matrix with Spectral Parameter from Fusion
Xu-Dong Luo, Xing-Chang Song, Shi-Kun Wang +1
A quantum dynamical -matrix with spectral parameter is constructed by fusion procedure. This spin-1 -matrix is connected with Lie algebra and does not…