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We consider a one-dimensional, time-reversal-invariant system with attractive interactions and spin-orbit coupling. Such a system is gapless due to the strong quantum fluctuations of the superconducting order parameter. However, we show…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Anna Keselman , Erez Berg

We lay out an experiment to realize time-reversal invariant topological insulators in alkali atomic gases. We introduce an original method to synthesize a gauge field in the near-field of an atom-chip, which effectively mimics the effects…

We show that fully-localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labelled by integers. The phase transition occurs…

Mesoscale and Nanoscale Physics · Physics 2026-02-18 Bastien Lapierre , Titus Neupert , Luka Trifunovic

The surface of a 3+1d topological insulator hosts an odd number of gapless Dirac fermions when charge conjugation and time-reversal symmetries are preserved. Viewed as a purely 2+1d system, this surface theory would necessarily explicitly…

Strongly Correlated Electrons · Physics 2013-10-29 Michael Mulligan , F. J. Burnell

The quantum spin Hall (QSH) state is a topologically non-trivial state of quantum matter which preserves time-reversal symmetry; it has an energy gap in the bulk, but topologically robust gapless states at the edge. Recently, this novel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chaoxing Liu , Taylor L. Hughes , Xiao-Liang Qi , Kang Wang , Shou-Cheng Zhang

Chiral edge modes inherent to the topological quantum anomalous Hall (QAH) effect are a pivotal topic of contemporary condensed matter research aiming at future quantum technology and application in spintronics. A large topological gap is…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 Suhua Jin , Yunyouyou Xia , Wujun Shi , Jiayu Hu , Ralph Claessen , Werner Hanke , Ronny Thomale , Gang Li

We show how the two-dimensional (2D) topological insulator evolves, by stacking, into a strong or weak topological insulator with different topological indices, proposing a new conjecture that goes beyond an intuitive picture of the…

Mesoscale and Nanoscale Physics · Physics 2015-12-11 Koji Kobayashi , Yukinori Yoshimura , Ken-Ichiro Imura , Tomi Ohtsuki

We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties.…

Statistical Mechanics · Physics 2009-11-11 Michael M. Wolf , Gerardo Ortiz , Frank Verstraete , J. Ignacio Cirac

We investigate how a magnetic field induces one-dimensional edge channels when the two-dimensional surface states of three-dimensional topological insulators become gapped. The Hall effect, measured by contacting those channels, remains…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Matthias Sitte , Achim Rosch , Ehud Altman , Lars Fritz

We study the vanishing of the topological properties of a quantum spin Hall insulator induced by a deformation of the band structure that interpolates between the Dirac and the semi-Dirac limits of a tight-binding model on a honeycomb…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Sayan Mondal , Saurabh Basu

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

Topological aspects of superconductivity in quantum spin-Hall systems (QSHSs) such as thin layers of three-dimensional topological insulators (3D Tis) or two-dimensional Tis are in the focus of current research. We examine hybrid…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 R. W. Reinthaler , G. Tkachov , E. M. Hankiewicz

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

Topological quantum phase transition in electron gas systems is an enthralling phenomena. This phase transition has a unique property in that it is associated with a quantum phase transition point, which separates different regions with…

Strongly Correlated Electrons · Physics 2015-06-25 S. A. Owerre

The detection of topological phases of matter becomes a central issue in recent years. Conventionally, the realization of a specific topological phase in condensed matter physics relies on probing the underlying surface band dispersion or…

Quantum Physics · Physics 2020-09-02 Tao Xin , Yishan Li , Yu-ang Fan , Xuanran Zhu , Yingjie Zhang , Xinfang Nie , Jun Li , Qihang Liu , Dawei Lu

Transitions between different topologically ordered phases have been studied by artificially creating boundaries between these gapped phases and thus studying their effects relating to condensation and tunneling of particles from one phase…

Strongly Correlated Electrons · Physics 2015-10-23 Pramod Padmanabhan , Miguel Jorge Bernabé Ferreira , Paulo Teotonio-Sobrinho

Topological phases of matter are described universally by topological field theories in the same way that symmetry-breaking phases of matter are described by Landau-Ginzburg field theories. We propose that topological insulators in two and…

Strongly Correlated Electrons · Physics 2015-03-17 Gil Young Cho , Joel E. Moore

We construct a three-dimensional (3D), time-reversal symmetric generalization of the Chalker-Coddington network model for the integer quantum Hall transition. The novel feature of our network model is that in addition to a weak topological…

Disordered Systems and Neural Networks · Physics 2021-10-04 Jun Ho Son , S. Raghu

Interfaces between normal and topological insulators are bound to host metallic states that are protected by time-reversal symmetry and are therefore robust against disorder and interface reconstruction. Two-dimensional topological…

Materials Science · Physics 2019-08-30 Thomas Olsen

HgTe quantum wells possess remarkable physical properties as for instance the quantum spin Hall state and the 'single-valley' analog of graphene, depending on their layer thicknesses and barrier composition. However, double HgTe quantum…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 S. S. Krishtopenko , W. Knap , F. Teppe
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