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Three-dimensional topological (crystalline) insulators are materials with an insulating bulk, but conducting surface states which are topologically protected by time-reversal (or spatial) symmetries. Here, we extend the notion of…

Mesoscale and Nanoscale Physics · Physics 2018-06-05 Frank Schindler , Ashley M. Cook , Maia G. Vergniory , Zhijun Wang , Stuart S. P. Parkin , B. Andrei Bernevig , Titus Neupert

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

Excitons drive the optoelectronic properties of organic semiconductors which underpin devices including solar cells and light-emitting diodes. Here we show that excitons can exhibit topologically non-trivial states protected by inversion…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Wojciech J. Jankowski , Joshua J. P. Thompson , Bartomeu Monserrat , Robert-Jan Slager

Analogous to the charged electron-electron pair condensation in superconductors, an excitonic insulator (EI) represents Fermi surface instability due to spontaneous formation and condensation of charge-neutral electron-hole pair (exciton).…

Strongly Correlated Electrons · Physics 2024-05-28 R. Okuma , K. Yamagami , Y. Fujisawa , C. H. Hsu , Y. Obata , N. Tomoda , M. Dronova , K. Kuroda , H. Ishikawa , K. Kawaguchi , K. Aido , K. Kindo , Y. H. Chan , H. Lin , Y. Ihara , T. Kondo , Y. Okada

Topological insulators are states of matter distinguished by the presence of symmetry protected metallic boundary states. These edge modes have been characterised in terms of transport and spectroscopic measurements, but a thermodynamic…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Anton Quelle , Emilio Cobanera , Cristiane Morais Smith

Topological insulators are new quantum states with helical gapless edge or surface states inside the bulk band gap.These topological surface states are robust against the weak time-reversal invariant perturbations, such as lattice…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Haijun Zhang , Shou-Cheng Zhang

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

We study the phase diagram of the inverted InAs/GaSb bilayer quantum wells. For small tunneling amplitude between the layers, we find that the system is prone to formation of an s-wave exciton condensate phase, where the spin-structure of…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 D. I. Pikulin , T. Hyart

Recently strong evidence has been found in favor of a BCS-like condensation of excitons in 1\textit{T}-TiSe$_2$. Theoretical photoemission intensity maps have been generated by the spectral function calculated within the excitonic…

Strongly Correlated Electrons · Physics 2009-02-24 C. Monney , H. Cercellier , F. Clerc , C. Battaglia , E. F. Schwier , C. Didiot , M. G. Garnier , H. Beck , H. Berger , L. Forró , L. Patthey , P. Aebi

TiSe$_2$ is thought to be an insulator with a bandgap of ~0.1eV. It has attracted a much interest because, among of a rich array of unique properties, many have thought TiSe$_2$ is a rare realisation of an excitonic insulator. Below 200 K,…

Materials Science · Physics 2025-06-10 Ross E. Larsen , Dimitar Pashov , Matthew D. Watson , Swagata Acharya , Mark van Schilfgaarde

We prove a general theorem on the relation between the bulk topological quantum number and the edge states in two dimensional insulators. It is shown that whenever there is a topological order in bulk, characterized by a non-vanishing Chern…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Xiao-Liang Qi , Yong-Shi Wu , Shou-Cheng Zhang

Topological superconductivity is an exotic quantum phenomenon with coupled nontrivial topological order and superconductivity together. A direct idea for producing topological superconductors is to create superconductivity based on the well…

Superconductivity · Physics 2022-08-23 Hao Yu , Noah F. Q. Yuan , Wei-Jian Li , Liu-Cheng Chen , Zi-Yu Cao , Di Li , Xiaoying Qin , Chang-De Gong , Xiao-Jia Chen

Non-Hermitian (NH) lattice Hamiltonians display a unique kind of energy gap and extreme sensitivity to boundary conditions. Due to the NH skin effect, the separation between edge and bulk states is blurred and the (conventional)…

Quantum Physics · Physics 2023-10-25 Matteo Brunelli , Clara C. Wanjura , Andreas Nunnenkamp

The Bose-Einstein condensation of excitons continues to garner immense attention as a prototypical example for observing emergent properties from many-body quantum effects. In particular, Titanium Diselenide (TiSe$_2$) is a promising…

Materials Science · Physics 2019-12-06 Chao Lian , Zulfikhar A. Ali , Bryan M. Wong

Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped edges and surfaces, but protected modes at corners or hinges.…

Strongly Correlated Electrons · Physics 2018-12-12 Yizhi You , Trithep Devakul , F. J. Burnell , Titus Neupert

We study a bilayer Kane-Mele-Hubbard model with lattice distortion and inter-layer spin exchange interaction under cylinder geometry. Our analysis based on real-space dynamical mean field theory with continuous-time quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2016-09-07 Tsuneya Yoshida , Norio Kawakami

Bulk-boundary correspondence is a foundational principle underlying the electronic band structure and physical behavior of topological quantum materials. Although it has been rigorously tested in topological systems where the physical…

The bulk-boundary correspondence is a key concept in topological quantum materials. For instance, a quantum spin Hall insulator features a bulk insulating gap with gapless helical boundary states protected by the underlying Z2 topology.…

First-principles density functional theory plus Bethe-Salpeter equation calculations are employed to investigate the electronic and excitonic properties of monolayer titanium trichalcogenide alloys TiS$_{3-x}$Se$_x$ ($x$=1 and 2). It is…

Materials Science · Physics 2020-12-02 Shan Dong , Yuanchang Li

In the past few years materials with protected gapless surface (edge) states have risen to the central stage of condensed matter physics. Almost all discussions centered around topological insulators and superconductors, which possess full…

Superconductivity · Physics 2013-10-01 Fa Wang , Dung-Hai Lee