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The fractional quantum Hall effect has recently been shown to exist in heterostructures of van der Waals materials without an externally applied magnetic field, e.g. in twisted bilayers of MoTe$_2$. These fractional Chern insulators break…

Strongly Correlated Electrons · Physics 2025-09-23 Sahana Das , Glenn Wagner , Titus Neupert

Recent topological band theory distinguishes electronic band insulators with respect to various symmetries and topological invariants, most commonly, the time reversal symmetry and the $\rm Z_2$ invariant. The interface of two topologically…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 S. U. Piatrusha , E. S. Tikhonov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , V. S. Khrapai

Protected by the chiral symmetry, three dimensional chiral topological insulators are characterized by an integer-valued topological invariant. How this invariant could emerge in physical observables is an important question. Here we show…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Sheng-Tao Wang , Dong-Ling Deng , Joel E. Moore , Kai Sun , Lu-Ming Duan

In this work we consider whether nonsymmorphic symmetries such as a glide plane can protect the existence of topological crystalline insulators and superconductors in three dimensions. In analogy to time-reversal symmetric insulators, we…

Strongly Correlated Electrons · Physics 2015-11-11 Daniel Varjas , Fernando de Juan , Yuan-Ming Lu

Topological insulators (TIs) are a striking example of materials in which topological invariants are manifested in robustness against perturbations. Their most prominent feature is the emergence of topological edge states with reduced…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 S. Klembt , T. H. Harder , O. A. Egorov , K. Winkler , R. Ge , M. A. Bandres , M. Emmerling , L. Worschech , T. C. H. Liew , M. Segev , C. Schneider , S. Höfling

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

We study by a consistent mean-field scheme the role on the single- and two-particle properties of a local electron-electron repulsion in the Bernevig, Hughes and Zhang model of a quantum spin Hall insulator. We find that the interaction…

Strongly Correlated Electrons · Physics 2020-07-29 A. Blason , M. Fabrizio

We theoretically investigate a quantum spin-Hall topological laser formed by an array of dielectric ring resonators endowed of saturable gain. The system preserves time-reversal symmetry, the clockwise and counter-clockwise modes in each…

Optics · Physics 2025-12-23 Alberto Muñoz de las Heras , Iacopo Carusotto

Topological insulators are materials with a bulk excitation gap generated by the spin orbit interaction, and which are different from conventional insulators. This distinction is characterized by Z_2 topological invariants, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liang Fu , C. L. Kane

Interaction induced topological states remain one of the fascinating phases in condensed matter physics. The exciton condensate has recently sparked renewed interest due to the discovery of new candidate materials and its driving force to…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Zheng-Rong Liu , Lun-Hui Hu , Chui-Zhen Chen , Bin Zhou , Dong-Hui Xu

Layered topological insulators, for example, Bi$_2$Se$_3$ are optically hyperbolic materials in a range of THz frequencies. Such materials possess deeply subdiffractional, highly directional collective modes: hyperbolic phonon-polaritons.…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Jhih-Sheng Wu , D. N. Basov , M. M. Fogler

The non-chiral edge excitations of quantum spin Hall systems and topological insulators are described by means of their partition function. The stability of topological phases protected by time-reversal symmetry is rediscussed in this…

Strongly Correlated Electrons · Physics 2015-06-17 Andrea Cappelli , Enrico Randellini

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe

Optical microcavities supporting exciton-polariton quasi-particles offer one of the most powerful platforms for investigation of rapidly developing area of topological photonics in general, and of photonic topological insulators in…

Optics · Physics 2016-10-25 Yaroslav V. Kartashov , Dmitry V. Skryabin

The two dimensional square lattice antiferromagnet with spin-orbit coupling and nonsymmorphic symmetry is recently found to be topological insulator (TI). We theoretically studied the Floquet states of the antiferromagnetic crystal with…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Ma Luo

In topological insulators, spin-orbit coupling and time-reversal symmetry combine to form a novel state of matter predicted to have exotic physical properties.

Materials Science · Physics 2010-01-12 Xiao-Liang Qi , Shou-Cheng Zhang

Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard…

Quantum Gases · Physics 2020-12-10 Sergi Julià-Farré , Markus Müller , Maciej Lewenstein , Alexandre Dauphin

We give field theory descriptions of the time-reversal invariant quantum spin Hall insulator in 2+1 dimensions and the particle-hole symmetric insulator in 1+1 dimensions in terms of massive Dirac fermions. Integrating out the massive…

High Energy Physics - Theory · Physics 2018-11-27 Andreas Karch , Joseph Maciejko , Tadashi Takayanagi

We describe a three-dimensional crystalline topological insulator (TI) phase of matter that exhibits spontaneous polarization. This polarization results from the presence of (approximately) flat bands on the surface of such TIs. These flat…

Materials Science · Physics 2021-06-16 J. Nissinen , Tero T. Heikkila , G. E. Volovik

The interplay between non-Hermiticity and topology opens an exciting avenue for engineering novel topological matter with unprecedented properties. While previous studies have mainly focused on one-dimensional systems or Chern insulators,…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Junpeng Hou , Ya-Jie Wu , Chuanwei Zhang