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Related papers: Photonic Topological Anderson Insulators

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Anderson localization in a two-dimensional ultracold Bose-gas has been demonstrated experimentally. Atoms were released within a dumbbell-shaped optical trap, where the channel of variable aspect ratio provided the only path for particles…

Quantum Gases · Physics 2021-12-22 Mojdeh S. Najafabadi , Daniel Schumayer , David A. W. Hutchinson

The half-quantized anomalous Hall conductance (AHC) in topological materials is a condensed matter physics realization of the parity anomaly of (2+1) quantum field theory and an important challenge for both theoretical and experimental…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Shahid Sattar , Roman Stepanov , Alexander Tyner , M. F. Islam , A. H. MacDonald , C. M. Canali

Time reversal (T) invariant topological insulator is widely recognized as one of the fundamental discoveries in condensed matter physics, for which the most fascinating hallmark is perhaps a spin based topological protection, the total…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 Xue-Feng Zhu , Yu-Gui Peng , Xiang-Yuan Yu , Han Jia , Ming Bao , Ya-Xi Shen , De-Gang Zhao

Bloch wavefunctions in crystals experience localization within the bulk when disorder is introduced, a phenomenon commonly known as Anderson localization. This effect is considered universal, being applicable to all types of waves, quantum…

The quest for the topological phases of matter in an aperiodic system has been greatly developed recently. Here we investigate the effects of disorder on topological phases of a two-dimensional Ammann-Beenker tiling quasicrystalline…

Mesoscale and Nanoscale Physics · Physics 2021-02-19 Tan Peng , Chun-Bo Hua , Rui Chen , Dong-Hui Xu , Bin Zhou

Second-order topological insulators can be characterized by their bulk polarization, which is believed to be intrinsically connected to the center of the Wannier function. In this study, we demonstrate the existence of second-order…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Zhenzhen Liu , Xiaoxi Zhou , Guochao Wei , Lei Gao , Bo hou , Jun-Jun Xiao

Higher-order topological insulators are established as topological crystalline insulators protected by crystalline symmetries. One celebrated example is the second-order topological insulator in three dimensions that hosts chiral hinge…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Jiong-Hao Wang , Yan-Bin Yang , Ning Dai , Yong Xu

Topological insulators (TIs) are characterized by an insulating bulk and symmetry protected bound state on their boundaries. A "strong" topological insulator is characterized by robust conducting states on \emph{all} boundaries protected by…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Inbar Hotzen Grinberg , Mao Lin , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Hybrid two-dimensional electron gas-superconductor (2DEG-S) structures in a quantized magnetic field offer a promising platform for realizing new topological phases. While recent experiments reveal chiral Andreev edge states, their charge…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 M. V. Parfenov , V. S. Khrapai , I. S. Burmistrov

A semimagnetic topological insulator -- a heterostructure combining a topological insulator with a ferromagnet -- exhibits a half-quantized Hall effect, characterized by a quantized Hall conductance of $\frac{1}{2}\frac{e^{2}}{h}$ (where…

Disordered Systems and Neural Networks · Physics 2025-10-30 Shi-Hao Bi , Bo Fu , Shun-Qing Shen

We derive the expression for the local Hall conductivity for systems that lack translation symmetry and use it to study the local fluctuations of the Hall signal around disordered patches in magnetic insulators. We find that the regime in…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Zachariah Addison , Nandini Trivedi

Physical systems with non-trivial topological order find direct applications in metrology[1] and promise future applications in quantum computing[2,3]. The quantum Hall effect derives from transverse conductance, quantized to unprecedented…

Atomic Physics · Physics 2019-05-09 Dina Genkina , Lauren M. Aycock , Hsin-I Lu , Alina M. Pineiro , Mingwu Lu , I. B. Spielman

One of the most striking features of quantum mechanics is the appearance of phases of matter with topological origins. These phases result in remarkably robust macroscopic phenomena such as the edge modes in integer quantum Hall systems,…

That disorder can induce nontrivial topology is a surprising discovery in topological physics. As a typical example, Chern topological Anderson insulators (TAIs) have been realized in photonic systems, where the topological phases exist…

Optics · Physics 2022-08-03 Xiaohan Cui , Ruo-Yang Zhang , Zhao-Qing Zhang , C. T. Chan

The quantization of conductance in the presence of non-magnetic point defects is a consequence of topological protection and the spin-momentum locking of helical edge states in two-dimensional topological insulators. This protection ensures…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Mohadese Karimi , Mohsen Amini , Morteza Soltani , Mozhgan Sadeghizadeh

The three-dimensional topological insulator (originally called "topological insulators") is the first example in nature of a topologically ordered electronic phase existing in three dimensions that cannot be reduced to multiple copies of…

Mesoscale and Nanoscale Physics · Physics 2011-05-03 M. Zahid Hasan , David Hsieh , Yuqi Xia , L. Andrew Wray , Su-Yang Xu , Charles L. Kane

We study theoretically the two-dimensional topological electric state in a single band semiconductor with strong spin-orbit interactions under harmonic scalar electrostatic potentials. The electronic states described by the spin Landau…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 Tetsuro Habe , Yasuhiro Asano

When a three-dimensional (3D) ferromagnetic topological insulator thin film is magnetized out-of-plane, conduction ideally occurs through dissipationless, one-dimensional (1D) chiral states that are characterized by a quantized, zero-field…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 A. Kandala , A. Richardella , S. Kempinger , C-X. Liu , N. Samarth

Topological phases of matter have garnered significant interest over the past two decades for two main reasons: their identification, via topological invariants, relies on the quantum geometry of the Bloch states, bringing attention to an…

Mesoscale and Nanoscale Physics · Physics 2025-10-30 Alejandro José Uría-Álvarez

Strong disorder drives conventional Hermitian systems into Anderson insulating states, suppressing all topological phases. Here, we unveil symmetry-protected, anomalous topological phases in the strong disorder limit of a non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Mina Ren , Xi Shi , Haitao Jiang , Feng Liu , Hong Chen , Yong Sun