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The topological phase in amorphous systems adds a new dimension to the topological states of matter. Here, we present an interesting phenomenon dubbed the topological Anderson amorphous insulator (TAAI). Anderson disorder can drive…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Xiaoyu Cheng , Tiantao Qu , Liantuan Xiao , Suotang Jia , Jun Chen , Lei Zhang

Magnetic frustrated systems have resurged in spintronics as optimal candidates for hosting three dimensional topological solitons, such as Shankar skyrmions and 4$\pi$-vortices, and other singular topological defects. These topological…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 Ricardo Zarzuela , Jairo Sinova

Topology and disorder have deep connections and a rich combined influence on quantum transport. In order to probe these connections, we synthesized one-dimensional chiral symmetric wires with controllable disorder via spectroscopic…

We derive the macroscopic charge and current densities of a Chern insulator initially occupying its electronic ground state as it responds to a finite-frequency electric field; we use a previously developed formalism based on microscopic…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Jason G. Kattan , Alistair H. Duff , J. E. Sipe

Topological insulators are physically distinguishable from normal insulators only near edges and defects, while in the bulk there is no clear signature to their topological order. In this work we show that the Z index of topological…

Mesoscale and Nanoscale Physics · Physics 2011-06-24 Zohar Ringel , Yaacov E. Kraus

We investigate the possibility of realizing a disorder-induced topological Floquet spectrum in two-dimensional periodically-driven systems. Such a state would be a dynamical realization of the topological Anderson insulator. We establish…

Disordered Systems and Neural Networks · Physics 2015-02-12 Paraj Titum , Netanel H. Lindner , Mikael C. Rechtsman , Gil Refael

We investigate the effect of a high frequency electromagnetic field with both of circularly and linearly polarization, on the emergence of quantum phases on thin topological insulators. Simultaneously, the influence of the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 S. Sajad Dabiri , Hosein Cheraghchi

Ultra-thin 3D topological insulators provide a stage to study the surface physics of such materials by minimizing the bulk contribution. Further, the experimentally verified snowflake like structure of the Fermi surface leads to a hexagonal…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Anirudha Menon , Debashree Chowdhury , Banasri Basu

Topologically ordered phases are characterized by long-range quantum entanglement and fractional statistics rather than by symmetry breaking. First observed in a fractionally filled continuum Landau level, topological order has since been…

Impurities embedded in electronic systems induce bound states which under certain circumstances can hybridize and lead to impurity bands. Doping of insulators with impurities has been identified as a promising route towards engineering…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Emma L. Minarelli , Kim Pöyhönen , Gerwin A. R. van Dalum , Teemu Ojanen , Lars Fritz

Local topological markers, topological invariants evaluated by local expectation values, are valuable for characterizing topological phases in materials lacking translation invariance. The Chern marker -- the Chern number expressed in terms…

Mesoscale and Nanoscale Physics · Physics 2023-01-11 Julia D. Hannukainen , Miguel F. Martinez , Jens H. Bardarson , Thomas Klein Kvorning

Here we show in simulations of the Haldane model that pulse propagation in disordered topological insulators is robust throughout the central portion of the band gap where localized modes do not arise. Since transmission is robust in…

Optics · Physics 2021-03-12 Yuhao Kang , Yiming Huang , Azriel Z. Genack

Two-dimensional non-interacting fermions without any anti-unitary symmetries generically get Anderson localized in the presence of disorder. In contrast, topological superconductors with their inherent particle-hole symmetry can host a…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Subrata Pachhal , Naba P. Nayak , Soumya Bera , Adhip Agarwala

We investigate the Hall conductance of a two-dimensional Chern insulator coupled to an environment causing gain and loss. Introducing a biorthogonal linear response theory, we show that sufficiently strong gain and loss lead to a…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Solofo Groenendijk , Thomas L. Schmidt , Tobias Meng

Disorder, which is ubiquitous in nature, has been extensively explored in photonics for understanding the fundamental principles of light diffusion and localization, as well as for applications in functional resonators and random lasers.…

The topological response to external perturbations is an effective probe to characterize different topological phases of matter. Besides the Hall conductance, the Hall viscosity is another example of such a response that measures how…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Hassan Shapourian , Taylor L. Hughes , Shinsei Ryu

Using the fiber bundle concept developed in geometry and topology, the fractionally quantized Hall conductivity is discussed in the relevant many--particle configuration space. Electron-magnetic field and electron-electron interactions…

Condensed Matter · Physics 2016-08-31 T. Asselmeyer , R. Keiper

Laser irradiation, as a versatile tool to tune topological properties of electronic systems, is under intensive studies. Experimentally, laser irradiation induced anomalous Hall effect in graphene has been observed (McIver et al., Nat.…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Tao Qin , Pengfei Zhang , Guoao Yang

We study the Hall response of topologically-trivial mobile impurities (Fermi polarons) interacting weakly with majority fermions forming a Chern-insulator background. This setting involves a rich interplay between the genuine many-body…

Quantum Gases · Physics 2021-06-09 D. Pimenov , A. Camacho-Guardian , N. Goldman , P. Massignan , G. M. Bruun , M. Goldstein

The engineering of topological non-trivial states of matter, using cold atoms, has made great progress in the last decade. Driven by experimental successes, it has become of major interest in the cold atom community. In this work we…

Quantum Gases · Physics 2020-06-16 Urs Gebert , Bernhard Irsigler , Walter Hofstetter