4.6 Article

Universality classes of the Anderson transitions driven by quasiperiodic potential in the three-dimensional Wigner-Dyson symmetry classes

Related references

Note: Only part of the references are listed.
Article Materials Science, Multidisciplinary

Incommensurability-induced sub-ballistic narrow-band-states in twisted bilayer graphene

Miguel Goncalves et al.

Summary: This study investigates the localization properties of electrons in incommensurate twisted bilayer graphene for small angles through numerical calculations and finds sub-ballistic states in the narrow-band region around the magic angle. These states are delocalized in momentum-space and exhibit non-Poissonian level statistics.

2D MATERIALS (2022)

Article Multidisciplinary Sciences

Deciphering quantum fingerprints in electric conductance

Shunsuke Daimon et al.

Summary: The authors used machine learning to reconstruct electron wavefunction intensities and sample geometry from magneto-conductance data, revealing complex quantum interference patterns. The study demonstrates that machine learning can help decipher quantum fingerprints and translate them into spatial images of electron wave function intensities.

NATURE COMMUNICATIONS (2022)

Article Physics, Multidisciplinary

Unifying the Anderson transitions in Hermitian and non-Hermitian systems

Xunlong Luo et al.

Summary: This study proposes a correspondence between the universality classes of the Anderson transitions in Hermitian and non-Hermitian systems, showcasing the superuniversality phenomenon.

PHYSICAL REVIEW RESEARCH (2022)

Article Physics, Multidisciplinary

Reentrant Localization Transition in a Quasiperiodic Chain

Shilpi Roy et al.

Summary: Systems with quasiperiodic disorder exhibit a localization transition in low dimensions. In a one-dimensional dimerized lattice with staggered quasiperiodic disorder, some localized eigenstates become extended for a range of intermediate disorder strengths after the localization transition. Eventually, the system undergoes a second localization transition at a higher disorder strength, leading to all states being localized.

PHYSICAL REVIEW LETTERS (2021)

Article Physics, Multidisciplinary

Interactions and Mobility Edges: Observing the Generalized Aubry-Andre Model

Fangzhao Alex An et al.

Summary: This study focuses on the experimental realization of a family of nearest-neighbor tight-binding models with quasiperiodic site energy modulation, and explores the exact mobility edge protected by duality symmetry. The results reveal deviations from single-particle predictions due to attractive interactions affecting state localization differently based on energy levels.

PHYSICAL REVIEW LETTERS (2021)

Article Physics, Multidisciplinary

Universality Classes of the Anderson Transitions Driven by Non-Hermitian Disorder

Xunlong Luo et al.

Summary: The study explores the influence of non-Hermiticity and disorder on Anderson transitions in three-dimensional systems, finding distinct critical behaviors and key exponents under different classifications of non-Hermitian systems, demonstrating that non-Hermiticity changes the universality classes of Anderson transitions.

PHYSICAL REVIEW LETTERS (2021)

Article Physics, Multidisciplinary

Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms

Shuta Nakajima et al.

Summary: The influence of disorder on topological phenomena is significant, showing competition and interaction in experiments. Topologically protected charge transport, known as Thouless pumping, is achieved with disorder-dependent effects on the topological properties.

NATURE PHYSICS (2021)

Article Materials Science, Multidisciplinary

Transfer matrix study of the Anderson transition in non-Hermitian systems

Xunlong Luo et al.

Summary: The paper presents a detailed transfer matrix analysis of the Anderson transition driven by non-Hermitian disorder in three NH systems. It discusses the general validity of the transfer matrix analysis in NH systems and analyzes the symmetry properties of the Lyapunov exponents, scattering matrix, and two-terminal conductance in these NH models. The study shows violations of unitarity in the S matrix in NH systems and the symmetric nature of the S matrix, Lyapunov exponents, and conductance in certain NH models.

PHYSICAL REVIEW B (2021)

Article Materials Science, Multidisciplinary

Gaussian orthogonal ensemble for quasiperiodic tilings without unfolding: r-value statistics

Uwe Grimm et al.

Summary: This study investigates the level-spacing statistics for noninteracting Hamiltonians on the two-dimensional quasiperiodic Ammann-Beenker tiling. It is found that the Gaussian orthogonal ensemble is the most convincing level statistics model for each irreducible sector without the need for unfolding. The results are also applicable to random-AB tilings.

PHYSICAL REVIEW B (2021)

Review Physics, Multidisciplinary

Drawing Phase Diagrams of Random Quantum Systems by Deep Learning the Wave Functions

Tomi Ohtsuki et al.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN (2020)

Article Multidisciplinary Sciences

Localization and delocalization of light in photonic moire lattices

Peng Wang et al.

NATURE (2020)

Article Physics, Multidisciplinary

Observing Localization in a 2D Quasicrystalline Optical Lattice

Matteo Sbroscia et al.

PHYSICAL REVIEW LETTERS (2020)

Article Materials Science, Multidisciplinary

Mixed spectra and partially extended states in a two-dimensional quasiperiodic model

Attila Szabo et al.

PHYSICAL REVIEW B (2020)

Article Materials Science, Multidisciplinary

Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials

Xiao Li et al.

PHYSICAL REVIEW B (2020)

Article Materials Science, Multidisciplinary

Anderson transition in three-dimensional systems with non-Hermitian disorder

Yi Huang et al.

PHYSICAL REVIEW B (2020)

Article Physics, Multidisciplinary

Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials

Hepeng Yao et al.

PHYSICAL REVIEW LETTERS (2019)

Article Materials Science, Multidisciplinary

Localization transitions and mobility edges in coupled Aubry-Andre chains

M. Rossignolo et al.

PHYSICAL REVIEW B (2019)

Article Materials Science, Multidisciplinary

Moire localization in two-dimensional quasiperiodic systems

Biao Huang et al.

PHYSICAL REVIEW B (2019)

Article Physics, Multidisciplinary

Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice

Henrik P. Luschen et al.

PHYSICAL REVIEW LETTERS (2018)

Article Physics, Multidisciplinary

Weyl Semimetal to Metal Phase Transitions Driven by Quasiperiodic Potentials

J. H. Pixley et al.

PHYSICAL REVIEW LETTERS (2018)

Article Multidisciplinary Sciences

Quasicrystalline 30 degrees twisted bilayer graphene as an incommensurate superlattice with strong interlayer coupling

Wei Yao et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2018)

Article Multidisciplinary Sciences

Photonic topological boundary pumping as a probe of 4D quantum Hall physics

Oded Zilberberg et al.

NATURE (2018)

Article Materials Science, Multidisciplinary

Quantum multicriticality in disordered Weyl semimetals

Xunlong Luo et al.

PHYSICAL REVIEW B (2018)

Article Physics, Multidisciplinary

Phase Diagrams of Three-Dimensional Anderson and Quantum Percolation Models Using Deep Three-Dimensional Convolutional Neural Network

Tomohiro Mano et al.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN (2017)

Article Physics, Multidisciplinary

Deep Learning the Quantum Phase Transitions in Random Electron Systems: Applications to Three Dimensions

Tomi Ohtsuki et al.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN (2017)

Article Physics, Multidisciplinary

Periodically driving a many-body localized quantum system

Pranjal Bordia et al.

NATURE PHYSICS (2017)

Article Materials Science, Multidisciplinary

Anderson localization transitions with and without random potentials

Trithep Devakul et al.

PHYSICAL REVIEW B (2017)

Article Materials Science, Multidisciplinary

Mobility edges in one-dimensional bichromatic incommensurate potentials

Xiao Li et al.

PHYSICAL REVIEW B (2017)

Review Physics, Multidisciplinary

Many-body localization in incommensurate models with a mobility edge

Dong-Ling Deng et al.

ANNALEN DER PHYSIK (2017)

Article Optics

Fate of Weyl semimetals in the presence of incommensurate potentials

Yucheng Wang et al.

PHYSICAL REVIEW A (2017)

Article Physics, Multidisciplinary

Estimate of the Critical Exponent of the Anderson Transition in the Three and Four-Dimensional Unitary Universality Classes

Keith Slevin et al.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN (2016)

Article Physics, Multidisciplinary

Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems

Tomoki Ohtsuki et al.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN (2016)

Article Multidisciplinary Sciences

Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials

Changming Huang et al.

SCIENTIFIC REPORTS (2016)

Article Materials Science, Multidisciplinary

Quantum nonergodicity and fermion localization in a system with a single-particle mobility edge

Xiaopeng Li et al.

PHYSICAL REVIEW B (2016)

Article Physics, Multidisciplinary

Nearest Neighbor Tight Binding Models with an Exact Mobility Edge in One Dimension

Sriram Ganeshan et al.

PHYSICAL REVIEW LETTERS (2015)

Article Multidisciplinary Sciences

Observation of many-body localization of interacting fermions in a quasirandom optical lattice

Michael Schreiber et al.

SCIENCE (2015)

Article Physics, Multidisciplinary

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

Keith Slevin et al.

NEW JOURNAL OF PHYSICS (2014)

Article Materials Science, Multidisciplinary

Delocalization and scaling properties of low-dimensional quasiperiodic systems

Ai-Min Guo et al.

PHYSICAL REVIEW B (2014)

Article Physics, Multidisciplinary

Observation of Topological Phase Transitions in Photonic Quasicrystals

Mor Verbin et al.

PHYSICAL REVIEW LETTERS (2013)

Article Physics, Multidisciplinary

Distribution of the Ratio of Consecutive Level Spacings in Random Matrix Ensembles

Y. Y. Atas et al.

PHYSICAL REVIEW LETTERS (2013)

Article Physics, Multidisciplinary

Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal

Yaacov E. Kraus et al.

PHYSICAL REVIEW LETTERS (2013)

Article Physics, Multidisciplinary

Experimental Test of Universality of the Anderson Transition

Matthias Lopez et al.

PHYSICAL REVIEW LETTERS (2012)

Article Physics, Multidisciplinary

Topological States and Adiabatic Pumping in Quasicrystals

Yaacov E. Kraus et al.

PHYSICAL REVIEW LETTERS (2012)

Article Multidisciplinary Sciences

Moire bands in twisted double-layer graphene

Rafi Bistritzer et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2011)

Article Physics, Multidisciplinary

Delocalization of a disordered bosonic system by repulsive interactions

B. Deissler et al.

NATURE PHYSICS (2010)

Article Physics, Multidisciplinary

Observation of a Localization Transition in Quasiperiodic Photonic Lattices

Y. Lahini et al.

PHYSICAL REVIEW LETTERS (2009)

Article Multidisciplinary Sciences

Anderson localization of a non-interacting Bose-Einstein condensate

Giacomo Roati et al.

NATURE (2008)

Review Physics, Multidisciplinary

Anderson transitions

Ferdinand Evers et al.

REVIEWS OF MODERN PHYSICS (2008)

Article Materials Science, Multidisciplinary

Localization of interacting fermions at high temperature

Vadim Oganesyan et al.

PHYSICAL REVIEW B (2007)

Article Optics

Bose-Einstein condensates in optical quasicrystal lattices

L Sanchez-Palencia et al.

PHYSICAL REVIEW A (2005)

Article Physics, Multidisciplinary

Topology dependent quantities at the Anderson transition

K Slevin et al.

PHYSICAL REVIEW LETTERS (2000)