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Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2012-04-02 G. Tkachov , E. M. Hankiewicz

The two-dimensional topological insulator phase has been observed previously in single HgTe-based quantum wells with inverted subband ordering. In double quantum wells (DQWs), coupling between the layers introduces additional degrees of…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 G. M. Gusev , E. B. Olshanetsky , F. G. G. Hernandez , O. E. Raichev , N. N. Mikhailov , S. A. Dvoretsky

We study superconducting quantum interference in a Josephson junction linked via edge states in two-dimensional (2D) insulators. We consider two scenarios in which the 2D insulator is either a topological or a trivial insulator supporting…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Tamás Haidekker Galambos , Silas Hoffman , Patrik Recher , Jelena Klinovaja , Daniel Loss

The electrodynamics of topological insulators (TIs) is described by modified Maxwell's equations, which contain additional terms that couple an electric field to a magnetization and a magnetic field to a polarization of the medium, such…

Strongly Correlated Electrons · Physics 2017-05-16 V. Dziom , A. Shuvaev , A. Pimenov , G. V. Astakhov , C. Ames , K. Bendias , J. Böttcher , G. Tkachov , E. M. Hankiewicz , C. Brüne , H Buhmann , L. W. Molenkamp

Topological superconductivity is an exotic state of matter that supports Majorana zero-modes, which are surface modes in 3D, edge modes in 2D or localized end states in 1D. In the case of complete localization these Majorana modes obey…

The 2007 discovery of quantized conductance in HgTe quantum wells delivered the field of topological insulators (TIs) its first experimental confirmation. While many three-dimensional TIs have since been identified, HgTe remains the only…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Conan Weeks , Jun Hu , Jason Alicea , Marcel Franz , Ruqian Wu

A characteristic feature of the BCS theory of superconductivity is the quantum-mechanical coherence of particle and hole states. Direct observation of particle-hole coherence in unusual superconducting materials is a strong indication of…

Superconductivity · Physics 2010-11-16 D. Rainer , H. Burkhardt , M. Fogelstrom , J. A. Sauls

A driven-dissipative nonlinear photonic system (e.g. exciton-polaritons) can operate in a gapped superfluid regime. We theoretically demonstrate that the reflection of a linear wave on this superfluid is an analogue of the Andreev…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Ismael Septembre , Sergei Koniakhin , Julia Meyer , Dmitry Solnyshkov , Guillaume Malpuech

Heterostructures of superconductors and quantum-Hall insulators are promising platforms of topological quantum computation. However, these two systems are incompatible in some aspects such as a strong magnetic field, the Meissner effect,…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Ryota Nakai , Koji Kudo , Hiroki Isobe , Kentaro Nomura

The concept of topological insulator (TI) has introduced a new point of view to condensed-matter physics, relating a priori unrelated subfields such as quantum (spin, anomalous) Hall effects, spin-orbit coupled materials, some classes of…

Mesoscale and Nanoscale Physics · Physics 2015-01-20 Yukinori Yoshimura , Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

The 2D HgTe quantum well is analyzed based on the assumption that the width fluctuations convert the system to a random mixture of domains with positive and negative energy gaps. The borders between ordinary and topological insulator phases…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 M. M. Mahmoodian , M. V. Entin

Topological insulators represent a new quantum state of matter which is characterized by edge or surface states and an insulating band gap in the bulk. In a two dimensional (2D) system based on the HgTe quantum well (QW) of critical width…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 G. M. Gusev , Z. D. Kvon , D. A. Kozlov , E. B. Olshanetsky , M. V. Entin , N. N. Mikhailov

In this paper, we study the effects of attractive correlation on the topological insulator ($TI$) with topological flat-bands using an extended attractive Kane-Mele-Hubbard model (KMHM). In the KMHM, we found a quantum phase transition from…

Strongly Correlated Electrons · Physics 2015-04-10 Chun-Li Zang , Jing He , Ya-Jie Wu

$\mathbb{Z}$-classified topological phases lead to larger-than-unity topological states. However, these multiple topological states are only localized at the corners in nonlocal systems. Here, first, we rigorously prove that the multiple…

Mesoscale and Nanoscale Physics · Physics 2025-01-07 Yimeng Sun , Linjuan Wang , Huiling Duan , Jianxiang Wang

Topological states of electrons present new avenues to explore the rich phenomenology of correlated quantum matter. Topological insulators (TIs) in particular offer an experimental setting to study novel quantum critical points (QCPs) of…

Strongly Correlated Electrons · Physics 2016-07-27 William Witczak-Krempa , Joseph Maciejko

Inspired by recent experimental observations of hybrid topological states [Hossain et al. Nature 628, 527 (2024)], we predict hybrid-order topological insulators in 1H transition metal compounds (TMCs), where both second-order and…

Materials Science · Physics 2024-12-31 Ning-Jing Yang , Zhigao Huang , Jian-Min Zhang

We study the superconducting properties of the thin film BCS superconductor proximity coupled to a magnetically doped topological insulator(TI). Using the mean field theory, we show that Fulde-Ferrell(FF) pairing can be induced in the…

Superconductivity · Physics 2017-08-23 Moon Jip Park , Junyoung Yang , Youngseok Kim , Matthew J. Gilbert

To understand the seemingly absent temperature dependence in the conductance of two-dimensional topological insulator edge states, we perform a numerical study which identifies the quantitative influence of the combined effect of dephasing…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Sven Essert , Viktor Krueckl , Klaus Richter

The interplay between the curved spacetimes of general relativity and quantum mechanical systems is an active field of research. However, analysis of relativistic gravitation on extended quantum systems remains understudied. To this end, we…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Patrick J. Wong , Zackary White , Alexander V. Balatsky

Topological physics opens a door towards flexible routing and resilient localization of waves of various nature. Recently proposed higher-order topological insulators provide advanced control over wave localization in the structures of…

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