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We outline here how strong light-matter interaction can be used to induce quantum phase transition between normal and topological phases in two-dimensional topological insulators. We consider the case of a HgTe quantum well, in which band…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Mehedi Hasan , Dmitry Yudin , Ivan Iorsh , Olle Eriksson , Ivan Shelykh

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

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

In this paper we review some connections recently discovered between topological insulators and certain classes of quantum spin liquids, focusing on two and three spatial dimensions. In two dimensions we show the integer quantum Hall effect…

Strongly Correlated Electrons · Physics 2012-03-29 Gregory A. Fiete , Victor Chua , Mehdi Kargarian , Rex Lundgren , Andreas Ruegg , Jun Wen , Vladimir Zyuzin

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

Realizing and controlling the unconventional pairing featured by topological superconductors remains a central challenge. We introduce a cavity QED quantum simulator that engineers competing chiral $p_x+ip_y$ and $d_{x^2-y^2}+id_{xy}$…

Quantum Physics · Physics 2025-12-22 Anjun Chu , Joyce Kwan , Eric Yilun Song , Seth Hew Peng Chew , James K. Thompson , Ana Maria Rey

In this article, we develop a description of topological pumps as slow classical dynamical variables coupled by a quantum system. We discuss the cases of quantum Hall pumps, Thouless pumps, and the more recent Floquet pumps based frequency…

Mesoscale and Nanoscale Physics · Physics 2022-03-04 Jacquelin Luneau , Clément Dutreix , Quentin Ficheux , Pierre Delplace , Benoît Douçot , Benjamin Huard , David Carpentier

We consider electron--hole Cooper pair condensation in a heterostructure formed by a topological insulator film and a quantum well. We argue that the helical nature of the Dirac electronic states at the topological insulator surface results…

Mesoscale and Nanoscale Physics · Physics 2023-08-30 Alexander Chansky , Dmitry K. Efimkin

Chiral topological superconductors are expected to appear as intermediate states when a quantum anomalous Hall system is proximity coupled to an s-wave superconductor and the magnetization direction is reversed. In this paper we address the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Gaurav Chaudhary , Allan H. MacDonald

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 consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

We consider a four-terminal setup of a two-dimensional topological insulator (quantum spin Hall insulator) with local tunneling between the upper and lower edges. The edge modes are modeled as helical Luttinger liquids and the…

Strongly Correlated Electrons · Physics 2011-08-30 Thomas L. Schmidt

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 the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per…

Strongly Correlated Electrons · Physics 2014-11-11 Lei Wang , Hsiang-Hsuan Hung , Matthias Troyer

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

Topological phase transitions between a conventional insulator and a state of matter with topological properties have been proposed and observed in mercury telluride - cadmium telluride quantum wells. We show that a topological state can be…

Materials Science · Physics 2011-09-08 Netanel H. Lindner , Gil Refael , Victor Galitski

The search for exotic new topological states of matter in widely accessible materials, for which the manufacturing process is mastered, is one of the major challenges of the current topological physics. Here we predict higher order…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Sergey S. Krishtopenko

We theoretically investigate the optical functionality of a semiconducting quantum ring manipulated by two electrostatic lateral gates used to induce a double quantum well along the ring. The well parameters and corresponding inter-level…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 T. P. Collier , V. A. Saroka , M. E. Portnoi

We use magnetotransport in dual-gated magnetic topological insulator heterostructures to map out a phase diagram of the topological Hall and quantum anomalous Hall effects as a function of the chemical potential (primarily determined by the…

Geometric properties of waves and wave functions can explain the appearance of integer-valued observables throughout physics. For example, these 'topological' invariants describe the plateaux observed in the quantised Hall effect and the…

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