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Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León

Our aim in this paper is twofold. Firstly, we develop a new asymptotic theory for Floquet exponents. We consider a linear system of differential equations with a time-periodic coefficient matrix. Assuming that the coefficient matrix depends…

Analysis of PDEs · Mathematics 2021-10-18 Habib Ammari , Erik Orvehed Hiltunen , Thea Kosche

We report the theoretical discovery and characterization of higher-order Floquet topological phases dynamically generated in a periodically driven system with mirror symmetries. We demonstrate numerically and analytically that these phases…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Martin Rodriguez-Vega , Abhishek Kumar , Babak Seradjeh

We show that periodically time-modulating the Dzyaloshinskii-Moriya interaction (DMI) in a two-dimensional magnon insulator may induce a topological phase transition that results in the presence of robust edge modes. To this end, we study a…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Ivan Martinez-Berumen , T. Pereg-Barnea , W. A. Coish

The topological characterization of nonequilibrium topological matter is highly nontrivial because familiar approaches designed for equilibrium topological phases may not apply. In the presence of crystal symmetry, Floquet topological…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Weiwei Zhu , Yidong Chong , Jiangbin Gong

The emergence of states with long-range correlations in a disordered landscape is rare, as disorder typically suppresses the particle mobility required for long-range coherence. But when more than two energy levels are available per site,…

Quantum Physics · Physics 2026-02-05 Nicole Ticea , Elias Portoles , Eliott Rosenberg , Alexander Schuckert , Aaron Szasz , Bryce Kobrin , Nicolas Pomata , Pranjal Praneel , Connie Miao , Shashwat Kumar , Ella Crane , Ilya Drozdov , Yuri Lensky , Sofia Gonzalez-Garcia , Thomas Kiely , Dmitry Abanin , Amira Abbas , Rajeev Acharya , Laleh Aghababaie Beni , Georg Aigeldinger , Ross Alcaraz , Sayra Alcaraz , Markus Ansmann , Frank Arute , Kunal Arya , Walt Askew , Nikita Astrakhantsev , Juan Atalaya , Ryan Babbush , Brian Ballard , Hector Bates , Andreas Bengtsson , Majid Bigdeli Karimi , Alexander Bilmes , Simon Bilodeau , Felix Borjans , Alexandre Bourassa , Jenna Bovaird , Dylan Bowers , Leon Brill , Peter Brooks , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , Tim Burger , Brian Burkett , Jamal Busnaina , Nicholas Bushnell , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Silas Chen , Zijun Chen , Ben Chiaro , Liang-Ying Chih , Agnetta Y. Cleland , Bryan Cochrane , Matt Cockrell , Josh Cogan , Paul Conner , Harold Cook , Rodrigo G. Cortiñas , William Courtney , Alexander L. Crook , Ben Curtin , Sayan Das , Martin Damyanov , Dripto M. Debroy , Stijn J. de Graaf , Laura De Lorenzo , Sean Demura , Lucia B. De Rose , Agustin Di Paolo , Paul Donohoe , Andrew Dunsworth , Valerie Ehimhen , Alec Eickbusch , Aviv Moshe Elbag , Lior Ella , Mahmoud Elzouka , David Enriquez , Catherine Erickson , Lara Faoro , Vinicius S. Ferreira , Marcos Flores , Leslie Flores Burgos , Sam Fontes , Ebrahim Forati , Jeremiah Ford , Brooks Foxen , Masaya Fukami , Alan Wing Lun Fung , Lenny Fuste , Suhas Ganjam , Gonzalo Garcia , Christopher Garrick , Robert Gasca , Helge Gehring , Robert Geiger , Élie Genois , William Giang , Dar Gilboa , James E. Goeders , Edward C. Gonzales , Raja Gosula , Alejandro Grajales Dau , Dietrich Graumann , Joel Grebel , Alex Greene , Jonathan A. Gross , Jose Guerrero , Tan Ha , Steve Habegger , Tanner Hadick , Ali Hadjikhani , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Jeanne Hartshorn , Stephen Heslin , Paula Heu , Oscar Higgott , Reno Hiltermann , Jeremy Hilton , Hsin-Yuan Huang , Mike Hucka , Christopher Hudspeth , Ashley Huff , William J. Huggins , Evan Jeffrey , Shaun Jevons , Zhang Jiang , Xiaoxuan Jin , Cody Jones , Chaitali Joshi , Pavol Juhas , Andreas Kabel , Dvir Kafri , Hui Kang , Kiseo Kang , Amir H. Karamlou , Ryan Kaufman , Kostyantyn Kechedzhi , Julian Kelly , Tanuj Khattar , Mostafa Khezri , Seon Kim , Paul V. Klimov , Can M. Knaut , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , Ryuho Kudo , Arun Kumar , Ben Kueffler , Vladislav D. Kurilovich , Vitali Kutsko , Nathan Lacroix , Tiano Lange-Dei , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Emma Leavell , Loick Le Guevel , Justin Ledford , Joy Lee , Kenny Lee , Brian J. Lester , Wendy Leung , Matthew T. Lloyd , Lily L Li , Wing Yan Li , Ming Li , Alexander T. Lill , William P. Livingston , Aditya Locharla , Erik Lucero , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Aniket Maiti , Ashley Maloney , Salvatore Mandrà , Leigh S. Martin , Orion Martin , Eric Mascot , Paul Masih Das , Dmitri Maslov , Melvin Mathews , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Anthony Megrant , Kevin C. Miao , Reza Molavi , Sebastian Molina , Shirin Montazeri , Charles Neill , Michael Newman , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Murphy Yuezhen Niu , Nicholas Noll , Logan Oas , William D. Oliver , Raymond Orosco , Kristoffer Ottosson , Alice Pagano , Sherman Peek , David Peterson , Alex Pizzuto , Rebecca Potter , Orion Pritchard , Michael Qian , Chris Quintana , Arpit Ranadive , Ganesh Ramachandran , Matthew J. Reagor , Rachel Resnick , David M. Rhodes , Daniel Riley , Gabrielle Roberts , Roberto Rodriguez , Emma Ropes , Eliott Rosenberg , Emma Rosenfeld , Dario Rosenstock , Elizabeth Rossi , David A. Rower , Robert Salazar , Kannan Sankaragomathi , Murat Can Sarihan , Kevin J. Satzinger , Sebastian Schroeder , Henry F. Schurkus , Aria Shahingohar , Michael J. Shearn , Aaron Shorter , Vladimir Shvarts , Volodymyr Sivak , Spencer Small , W. Clarke Smith , David A. Sobel , Barrett Spells , Sofia Springer , George Sterling , Jordan Suchard , Alexander Sztein , Madeline Taylor , Jothi Priyanka Thiruraman , Douglas Thor , Dogan Timucin , Eifu Tomita , Alfredo Torres , M. Mert Torunbalci , Hao Tran , Abeer Vaishnav , Justin Vargas , Sergey Vdovichev , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Meghan Voorhees , Steven Waltman , Jonathan Waltz , Shannon X. Wang , Danni Wang , Brayden Ware , James D. Watson , Yonghua Wei , Travis Weidel , Theodore White , Kristi Wong , Bryan W. K. Woo , Christopher J. Wood , Maddy Woodson , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Elliot Young , Grayson Young , Adam Zalcman , Ran Zhang , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist , Zhenjie Zou , Sergio Boixo , Hartmut Neven , Vadim Smelyanskiy , Guifre Vidal , Erich Mueller , Trond Andersen , Lev Ioffe , Andre Petukhov , Mohammad Hafezi , Pedram Roushan

Dynamical phases with novel topological properties are known to arise in driven systems of free fermions. In this paper, we obtain a `periodic table' to describe the phases of such time-dependent systems, generalizing the periodic table for…

Strongly Correlated Electrons · Physics 2017-10-18 Rahul Roy , Fenner Harper

We consider periodically driven Anderson insulators. The short time behavior for weak, monochromatic, uniform electric fields is given by linear response theory and was famously derived by Mott. We go beyond this to consider both long…

Disordered Systems and Neural Networks · Physics 2018-12-12 Dillon T. Liu , J. T. Chalker , Vedika Khemani , S. L. Sondhi

We discuss the effects of disorder in time-reversal invariant topological insulators and superconductors in three spatial dimensions. For three-dimensional topological insulator in symplectic (AII) symmetry class, the phase diagram in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Shinsei Ryu , Kentaro Nomura

Topological Anderson insulators (TAIs) provide a mechanism for topological phase transitions in disordered systems and have implications for quantum material design. In this work, we investigate the emergence of multiple TAIs in a…

Disordered Systems and Neural Networks · Physics 2025-08-19 Ruijiang Ji , Zhihao Xu

The topological orders in amorphous systems that lack crystalline symmetry have gained considerable attention recently. Here we propose the Floquet amorphous topological matter, among which the topological orders are explored in…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Peng He , Jing-Xin Liu , Hong Wu , Z. D. Wang

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

A salient feature of solid-state topological materials in two dimensions is the presence of conducting electronic edge states that are insensitive to scattering by disorder. Such unidirectional edge states have been explored in many…

Optics · Physics 2021-12-28 Sebabrata Mukherjee , Mikael C. Rechtsman

The realization of the quantum anomalous Hall (QAH) effect without magnetic doping attracts intensive interest since magnetically doped topological insulators usually possess inhomogeneity of ferromagnetic order. Here, we propose a…

Disordered Systems and Neural Networks · Physics 2022-01-11 Zhen Ning , Baobing Zheng , Dong-Hui Xu , Rui Wang

Using exact diagonalization and quantum Monte Carlo calculations we investigate the effects of disorder on the phase diagram of both non-interacting and interacting models of two-dimensional topological insulators. In the fermion sign…

Strongly Correlated Electrons · Physics 2016-12-21 Hsiang-Hsuan Hung , Aaron Barr , Emil Prodan , Gregory A. Fiete

Floquet modulations often yield effective Hamiltonians not easily accessible in traditional time-dependent systems, which brings opportunities for exploring novel physics of quantum dynamics. We investigate a Floquet system exhibiting…

Quantum Physics · Physics 2025-09-17 Suyang Lin , Ming Gong , Congjun Wu

We consider the fate of a helical edge state of a spin Hall insulator and its topological transition in presence of a circularly polarized light when coupled to various forms of environments. A Lindblad type equation is developed to…

Strongly Correlated Electrons · Physics 2016-09-28 Szabolcs Vajna , Baruch Horovitz , Balázs Dóra , Gergely Zaránd

Higher order topological insulators (HOTI) have emerged as a new class of phases, whose robust in-gap "corner" modes arise from the bulk higher-order multipoles beyond the dipoles in conventional topological insulators. Here, we incorporate…

Strongly Correlated Electrons · Physics 2020-06-02 Biao Huang , W. Vincent Liu

We propose a device that allows for the emission of pairs of spin-polarized electrons into the edge-states of a two dimensional topological insulator. Charge and spin emission is achieved using a periodically driven quantum dot weakly…

Mesoscale and Nanoscale Physics · Physics 2013-12-13 Andreas Inhofer , Dario Bercioux

We study the transition between the two-dimensional topological insulator (TI) featuring quantized edge conductance and the trivial Anderson insulator (AI) induced by strong disorder. We discover a distinct scaling behavior of TI near the…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 DinhDuy Vu , Sankar Das Sarma
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