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Transport properties of massive Dirac particles are investigated through an oscillating barrier. The Floquet quasienergies related to the time-dependent potential appear both in transmission and reflection as sidebands around the incoming…

Mesoscale and Nanoscale Physics · Physics 2015-03-04 Lóránt Zs. Szabó , Mihály G. Benedict , Attila Czirják , Péter Földi

Periodically driven (Floquet) systems have been under active theoretical and experimental investigations. This paper aims at a systematic study in the following aspects of Floquet systems: (i) A systematic formulation of topological…

Strongly Correlated Electrons · Physics 2017-11-15 Shunyu Yao , Zhongbo Yan , Zhong Wang

The concept of multi-gap topology has recently been shown to give rise to uncharted phases beyond conventional single-gap classifications. These phases relate to band nodes with non-Abelian quaternion charges and momentum-space braiding…

We construct and classify chiral topological phases in driven (Floquet) systems of strongly interacting bosons, with finite-dimensional site Hilbert spaces, in two spatial dimensions. The construction proceeds by introducing exactly soluble…

Disordered Systems and Neural Networks · Physics 2017-01-04 Hoi Chun Po , Lukasz Fidkowski , Takahiro Morimoto , Andrew C. Potter , Ashvin Vishwanath

We consider a topological Floquet insulator realized as a honeycomb array of helical waveguides imprinted in weakly birefringent medium. The system accounts for four-wave mixing occurring at a series of resonances arising due to Floquet…

Topological insulators host topology-linked boundary states, whose spin and charge degrees of freedom could be exploited to design topological devices with enhanced functionality. We experimentally observe that dissipationless chiral edge…

Quantum Physics · Physics 2022-07-26 Chao Chen , Xing Ding , Jian Qin , Jizhou Wu , Yu He , Chao-Yang Lu , Li Li , Xiong-Jun Liu , Barry C. Sanders , Jian-Wei Pan

We develop a theory of topological transitions in a Floquet topological insulator, using graphene irradiated by circularly polarized light as a concrete realization. We demonstrate that a hallmark signature of such transitions in a static…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 Arijit Kundu , H. A. Fertig , Babak Seradjeh

Time-periodic modulation of a static system is a powerful method for realizing robust unidirectional topological states. So far, all such realizations have been based on interactions among $s$ orbitals, without incorporating inter-orbital…

Optics · Physics 2026-01-15 Gayathry Rajeevan , Sebabrata Mukherjee

We study the appearance of topological Floquet flat bands in alternating-twist multilayer graphene, which has alternating relative twist angle $\pm\theta$ near the first magic angle. While the system hosts both flat bands and a steep Dirac…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 Yingyi Huang

One-dimensional Floquet topological superconductors possess two types of degenerate Majorana edge modes at zero and $\pi$ quasieneriges, leaving more room for the design of boundary time crystals and quantum computing schemes than their…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Hailing Wu , Shenlin Wu , Longwen Zhou

We show that it is possible to have a topological phase in two-dimensional quasicrystals without any magnetic field applied, but instead introducing an artificial gauge field via dynamic modulation. This topological quasicrystal exhibits…

Mesoscale and Nanoscale Physics · Physics 2017-05-29 Miguel A. Bandres , Mikael C. Rechtsman , Mordechai Segev

We investigate electronic states in a two-dimensional network consisting of interacting quantum wires, a model adopted for twisted bilayer systems. We construct general operators which describe various scattering processes in the system. In…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 Chen-Hsuan Hsu , Daniel Loss , Jelena Klinovaja

We investigate Floquet Topological Insulators in the presence of spatially-modulated light. We extend on previous work to show that light can be used to generate and control localized modes in the bulk of these systems. We provide examples…

Strongly Correlated Electrons · Physics 2014-05-06 Yaniv Tenenbaum Katan , Daniel Podolsky

We demonstrate that a three dimensional time-periodically driven (Floquet) lattice can exhibit chiral hinge states and describe their interplay with Weyl physics. A peculiar type of the hinge states are enforced by the repeated boundary…

Mesoscale and Nanoscale Physics · Physics 2021-10-12 Biao Huang , Viktor Novičenko , André Eckardt , Gediminas Juzeliūnas

We give the basic elements of the Floquet scattering matrix approach to the dynamic quantum transport in mesoscopic and nanoscopic conductors. We use the scattering formalism to discuss the noise power spectrum of a single electron source…

Mesoscale and Nanoscale Physics · Physics 2014-05-29 Michael Moskalets

Topological phases of matter span a wide area of research shaping fundamental pursuits and offering promise for future applications. While a significant fraction of topological materials has been characterized using symmetry requirements of…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Robert-Jan Slager , Adrien Bouhon , F. Nur Ünal

We describe an experimental setup for imaging topologically protected Floquet edge states using ultracold bosons in an optical lattice. Our setup involves a deep two dimensional optical lattice with a time dependent superlattice that…

Quantum Gases · Physics 2015-06-19 Matthew Reichl , Erich Mueller

We study the quantum topological properties of Floquet (time-periodic) systems exhibiting Hall effects due to perpendicular magnetic and electric fields. The systems are charged particles periodically kicked by a one-dimensional cosine…

Mesoscale and Nanoscale Physics · Physics 2019-09-24 Itzhack Dana , Kazuhiro Kubo

The existence of gapless boundary states is a key attribute of any topological insulator. Topological band theory predicts that these states are robust against static perturbations that preserve the relevant symmetries. In this article,…

Mesoscale and Nanoscale Physics · Physics 2017-08-14 Oleksandr Balabanov , Henrik Johannesson

Topological phases play a crucial role in the fundamental physics of light-matter interaction and emerging applications of quantum technologies. However, the topological band theory of waveguide QED systems is known to break down, because…

Optics · Physics 2023-12-08 Yongguan Ke , Jiaxuan Huang , Wenjie Liu , Yuri Kivshar , Chaohong Lee
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