309 citations · 3.5k across the 93 of their papers we have counts for
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Backsolution: A Framework for Solving Inverse Problems via Automatic Differentiation
Koji Kobayashi, Tomi Ohtsuki
We present a simple yet powerful framework for solving inverse problems by leveraging automatic differentiation. Our method is broadly applicable whenever a smooth cost function ca…
Critical behavior of Anderson transitions in higher dimensional Bogoliubov-de Gennes symmetry classes
Tong Wang, Zhiming Pan, Keith Slevin +1
Disorder is ubiquitous in solid-state systems, and its crucial influence on transport properties was revealed by the discovery of Anderson localization. Generally speaking, all bul…
Machine learning wave functions to identify fractal phases
Tilen Cadez, Barbara Dietz, Dario Rosa +3
We demonstrate that an image recognition algorithm based on a convolutional neural network provides a powerful procedure to differentiate between ergodic, non-ergodic extended (fra…
Irrelevant corrections at the quantum Hall transition
Keith Slevin, Tomi Ohtsuki
The quantum Hall effect is one of the most extensively studied topological effects in solid state physics. The transitions between different quantum Hall states exhibit critical ph…
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…
Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
Tong Wang, Zhiming Pan, Tomi Ohtsuki +2
A generic two-dimensional disordered topological superconductor in symmetry class D exhibits rich phenomenology and multiple phases: diffusive thermal metal (DTM), Anderson insulat…
Renormalization group analysis of Dirac fermions with random mass
Zhiming Pan, Tong Wang, Tomi Ohtsuki +1
Two-dimensional (2D) disordered superconductor (SC) in class D exhibits a disorder-induced quantum multicritical phenomenon among diffusive thermal metal (DTM), topological superco…
Universality classes of the Anderson transition in three-dimensional symmetry classes AIII, BDI, C, D and CI
Tong Wang, Tomi Ohtsuki, Ryuichi Shindou
We clarify universal critical properties of delocalization-localization transitions in three-dimensional (3D) unitary and orthogonal classes with particle-hole and/or chiral symmet…
Machine learning the dynamics of quantum kicked rotor
Tomohiro Mano, Tomi Ohtsuki
Using the multilayer convolutional neural network (CNN), we can detect the quantum phases in random electron systems, and phase diagrams of two and higher dimensional Anderson tran…
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…
Analysis of Kohn-Sham Eigenfunctions Using a Convolutional Neural Network in Simulations of the Metal-insulator Transition in Doped Semiconductors
Yosuke Harashima, Tomohiro Mano, Keith Slevin +1
Machine learning has recently been applied to many problems in condensed matter physics. A common point of many proposals is to save computational cost by training the machine with…
Ballistic transport in disordered Dirac and Weyl semimetals
Koji Kobayashi, Miku Wada, Tomi Ohtsuki
We study the dynamics of Dirac and Weyl electrons in disordered point-node semimetals. The ballistic feature of the transport is demonstrated by simulating the wave-packet dynamics…
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…
Drawing Phase Diagrams of Random Quantum Systems by Deep Learning the Wave Functions
Tomi Ohtsuki, Tomohiro Mano
Applications of neural networks to condensed matter physics are becoming popular and beginning to be well accepted. Obtaining and representing the ground and excited state wave fun…
Critical Exponent of the Anderson Transition using Massively Parallel Supercomputing
Keith Slevin, Tomi Ohtsuki
To date the most precise estimations of the critical exponent for the Anderson transition have been made using the transfer matrix method. This method involves the simulation of ex…
Phase Diagrams of Three-Dimensional Anderson and Quantum Percolation Models using Deep Three-Dimensional Convolutional Neural Network
Tomohiro Mano, Tomi Ohtsuki
The three-dimensional Anderson model is a well-studied model of disordered electron systems that shows the delocalization--localization transition. As in our previous papers on two…
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…
Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems
Tomoki Ohtsuki, Tomi Ohtsuki
Random electron systems show rich phases such as Anderson insulator, diffusive metal, quantum and anomalous quantum Hall insulator, Weyl semimetal, as well as strong/weak topologic…
Estimate of the critical exponent of the Anderson transition in the three and four dimensional unitary universality classes
Keith Slevin, Tomi Ohtsuki
Disordered non-interacting systems are classified into ten symmetry classes, with the unitary class being the most fundamental. The three and four dimensional unitary universality…
Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
Baolong Xu, Tomi Ohtsuki, Ryuichi Shindou
Low-energy magnon bands in a two-dimensional spin ice model become integer quantum magnon Hall bands. By calculating the localization length and the two-terminal conductance of mag…
Effect of Disorder in a Three-Dimensional Layered Chern Insulator
Shang Liu, Tomi Ohtsuki, Ryuichi Shindou
We studied effects of disorder in a three dimensional layered Chern insulator. By calculating the localization length and density of states numerically, we found two distict types…
Critical exponent for the quantum spin Hall transition in Z_2 network model
K. Kobayashi, T. Ohtsuki, K. Slevin
We have estimated the critical exponent describing the divergence of the localization length at the metal-quantum spin Hall insulator transition. The critical exponent for the meta…