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Floquet topological insulators are systems in which the topology emerges out of equilibrium when a time periodic perturbation is applied. In these systems one can define quasi-energy states which replace the quilibrium stationary states.…

Strongly Correlated Electrons · Physics 2016-01-27 Aaron Farrell , T. Pereg-Barnea

We study quantum transport in a periodically driven (Floquet) topological system coupled to static fermionic reservoirs. Using the Floquet nonequilibrium Green's-function (NEGF) formalism we show, from exact numerics for a strip geometry,…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Rekha Kumari , Manas Kulkarni , Abhishek Dhar

The theoretical analysis of topological insulators (TIs) has been traditionally focused on infinite homogeneous crystals with band gap in the bulk and nontrivial topology of their wavefunctions, or infinite wires whose boundaries host…

Mesoscale and Nanoscale Physics · Physics 2020-09-21 Utkarsh Bajpai , Mark J. H. Ku , Branislav K. Nikolic

We study the open system dynamics and steady states of two dimensional Floquet topological insulators: systems in which a topological Floquet-Bloch spectrum is induced by an external periodic drive. We solve for the bulk and edge state…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 Iliya Esin , Mark S. Rudner , Gil Refael , Netanel H. Lindner

Based on probing electronic transport properties we propose an experimental test for the recently discovered rich topological phase diagram of one-dimensional Floquet topological insulators with Rashba spin-orbit interaction [Kennes…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Niclas Müller , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

Time-periodic (Floquet) topological phases of matter exhibit bulk-edge relationships that are more complex than static topological insulators and superconductors. Finding the edge modes unique to driven systems usually requires numerics.…

Quantum Gases · Physics 2016-12-28 Indubala I. Satija , Erhai Zhao

Graphene subject to a spatially uniform, circularly-polarized electric field supports a Floquet spectrum with properties akin to those of a topological insulator, including non-vanishing Chern numbers associated with bulk bands and…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Zhenghao Gu , H. A. Fertig , Daniel P. Arovas , Assa Auerbach

We report on simulations of the dc conductance and quantum Hall response of a Floquet topological insulator using Floquet scattering theory. Our results reveal that laser-induced edge states in graphene lead to quantum Hall plateaus once…

Mesoscale and Nanoscale Physics · Physics 2014-12-24 L. E. F. Foa Torres , P. M. Perez-Piskunow , C. A. Balseiro , G. Usaj

We study the topology of the Floquet states and time-averaged optical conductivity of the lattice model of a thin topological insulator subject to a circularly polarized light using the extended Kubo formalism. Two driving regimes, the…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 S. Sajad Dabiri , H. Cheraghchi , A. Sadeghi

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Ron Aharon Melcer , Bivas Dutta , Christian Spånslätt , Jinhong Park , Alexander D. Mirlin , Vladimir Umansky

The nature of edge state transport in quantum Hall systems has been studied intensely ever since Halperin [1] noted its importance for the quantization of the Hall conductance. Since then, there have been many developments in the study of…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Casey Nosiglia , Jinhong Park , Bernd Rosenow , Yuval Gefen

We study the transport properties of a voltage-biased Josephson junction where the BCS superconducting leads are coupled via the edges of a quantum Hall sample. In this scenario, an out of equilibrium Josephson current develops, which is…

Mesoscale and Nanoscale Physics · Physics 2021-02-01 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

Recent theoretical work on time-periodically kicked Hofstadter model found robust counter-propagating edge modes. It remains unclear how ubiquitously such anomalous modes can appear, and what dictates their robustness against disorder. Here…

Quantum Gases · Physics 2014-11-13 Zhenyu Zhou , Indubala I. Satija , Erhai Zhao

Periodic driving may cause topologically protected, chiral transport along edges of a 2D lattice that, without driving, would be topologically trivial. We study what happens if one adds a different on-site potential along the diagonal of…

Computational Physics · Physics 2024-01-10 Helena Drüeke , Marcus Meschede , Dieter Bauer

Quantum Hall edge states in proximity to a superconductor (SC) usually acquire a non-quantized electron-to-hole conversion probability in transport, due to non-universal SC couplings and disorders. With counter-propagating modes, we show…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 Pok Man Tam , Hao Chen , Biao Lian

Motivated by recent experiments on the conductance fluctuations in mesoscopic integr quantum Hall systems, we consider a model in which the Coulomb interactions are incorporated into the picture of edge-state transport through a single…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. -M. Ho

We report on the fate of the quantum Hall effect in graphene under strong laser illumination. By using Floquet theory combined with both a low energy description and full tight-binding models, we clarify the selection rules, the quasienergy…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 A. Huamán , L. E. F. Foa Torres , C. A. Balseiro , Gonzalo Usaj

We study two-terminal transport through two-dimensional periodically driven systems in which all bulk Floquet eigenstates are localized by disorder. We focus on the Anomalous Floquet-Anderson Insulator (AFAI) phase, a…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Arijit Kundu , Mark Rudner , Erez Berg , Netanel H. Lindner

We study the transport properties of a topological system coupled to an AC electric field by means of Floquet-Keldysh formalism. We consider a semi-infinite chain of dimers coupled to a semi-infinite metallic lead, and obtain the density of…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Leonard Ruocco , Álvaro Gómez-León

We study theoretically edge transport of a fractional quantum Hall liquid, in the presence of a quantum dot inside the Hall bar with well controlled electron density and Landau level filling factor \nu, and show that such transport studies…

Strongly Correlated Electrons · Physics 2013-04-19 Hsin-Hua Lai , Kun Yang
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