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We consider isolated many-body quantum systems which do not thermalize, i.e., expectation values approach an (approximately) steady longtime limit which disagrees with the microcanonical prediction of equilibrium statistical mechanics. A…

Statistical Mechanics · Physics 2017-05-22 Ben N. Balz , Peter Reimann

Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex systems, which can be used to induce a plethora of new physical phenomena. However, when applied to many-body systems, Floquet driving can also cause…

Statistical Mechanics · Physics 2023-05-30 Wen Wei Ho , Takashi Mori , Dmitry A. Abanin , Emanuele G. Dalla Torre

The topology of an insulator can be defined even when all eigenstates of the system are localized - an extreme case of Anderson insulators that we call ultra-localized. We derive the classification of such ultra-localized insulators in all…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Bastien Lapierre , Luka Trifunovic , Titus Neupert , Piet W. Brouwer

We study the effects of periodic driving on a variant of the Bernevig-Hughes-Zhang (BHZ) model defined on a square lattice. In the absence of driving, the model has both topological and nontopological phases depending on the different…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Ranjani Seshadri , Anirban Dutta , Diptiman Sen

We demonstrate that periodically driven quantum rotors provide a promising and broadly applicable platform to implement multi-gap topological phases, where groups of bands can acquire topological invariants due to non-Abelian braiding of…

Quantum Physics · Physics 2026-02-06 Volker Karle , Mikhail Lemeshko , Adrien Bouhon , Robert-Jan Slager , F. Nur Ünal

In this work we explore experimental signatures of fractional topological insulators in three dimensions. These are states of matter with a fully gapped bulk that host exotic gapless surface states and fractionally charged quasiparticles.…

Strongly Correlated Electrons · Physics 2013-05-30 Brian Swingle

Periodically driven quantum systems can realize novel phases of matter that do not exist in static settings. We study signatures of these drive-induced phases on the $(d+1)$-dimensional Floquet lattice, comprised of $d$ spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2019-01-11 Ian Mondragon-Shem , Ivar Martin , A. Alexandradinata , Meng Cheng

Understanding the interplay of interactions and disorder in quantum transport poses long-standing scientific challenges, with many-body quantum transport phenomena in high-dimensional disordered systems remaining largely unexplored…

We investigate adiabatic charge pumping in disordered system in one dimension with open and closed boundary conditions. In contrast to the Thouless charge pumping, the system has no gap even though all the states are localized, i.e., strong…

Disordered Systems and Neural Networks · Physics 2009-11-13 Chyh-Hong Chern , Shigeki Onoda , Shuichi Murakami , Naoto Nagaosa

Although topological Anderson insulator has been predicted in 2009, the lasting investigations of this disorder established nontrivial state results in only two experimental observations in cold atoms [Science, {\bf 362 },929 (2018)] and in…

Disordered Systems and Neural Networks · Physics 2019-11-27 Zhi-Qiang Zhang , Bing-Lan Wu , Juntao Song , Hua Jiang

Floquet (periodically driven) systems can give rise to unique non-equilibrium phases of matter without equilibrium analogs. The most prominent example is the realization of discrete time crystals. An intriguing question emerges: what other…

The anomalous Floquet Anderson insulator (AFAI) is a two dimensional periodically driven system in which static disorder stabilizes two topologically distinct phases in the thermodynamic limit. The presence of a unit-conducting chiral edge…

Mesoscale and Nanoscale Physics · Physics 2020-04-03 Kun Woo Kim , Dmitry Bagrets , Tobias Micklitz , Alexander Altland

The topological features of quantum many-body wave functions are known to have profound consequences for the physics of ground-states and their low-energy excitations. We describe how topology influences the dynamics of many-body systems…

Strongly Correlated Electrons · Physics 2019-12-30 Max McGinley , Nigel R. Cooper

We study the dynamics of a quantum many-body lattice system with a local Hamiltonian subjected to a quasi-periodic driving with finite regularity. For sufficiently large driving frequencies, we prove that the system remains in a prethermal…

Mathematical Physics · Physics 2025-10-07 Matteo Gallone , Beatrice Langella

Electronic bands featuring nontrivial bulk topological invariant manifest through robust gapless modes at the boundaries, e.g., edges and surfaces. As such this bulk-boundary correspondence is also operative in driven quantum materials. For…

Mesoscale and Nanoscale Physics · Physics 2021-07-26 Tanay Nag , Bitan Roy

We demonstrate, both theoretically and experimentally, the concept of non-linear second-order topological insulators, a class of bulk insulators with quantized Wannier centers and a bulk polarization directly controlled by the level of…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Farzad Zangeneh-Nejad , Romain Fleury

Thermoelectric devices at the nanoscale offer promising routes for on-chip refrigeration and waste-heat recovery, yet most semiconductor-based implementations suffer from limited tunability and narrow operational ranges. We introduce a…

Mesoscale and Nanoscale Physics · Physics 2025-08-29 Phillip Mercebach , Sun-Yong Hwang , Bo Lu , Björn Sothmann , Yukio Tanaka , Pablo Burset

We investigate the periodically driven dynamics of many-body systems, either classical or quantum, finite-dimensional or mean-field, displaying an unbounded phase-space. Using the lattice $\phi^4$ model and the $p$-spin spherical model as…

Statistical Mechanics · Physics 2024-12-10 Lorenzo Correale , Leticia F. Cugliandolo , Marco Schirò , Alessandro Silva

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

One of the hallmarks of bulk topology is the existence of robust boundary localized states. For instance, a conventional $d$ dimensional topological system hosts $d{-}1$ dimensional surface modes, which are protected by non-spatial…

Mesoscale and Nanoscale Physics · Physics 2021-05-11 Ruchira V Bhat , Soumya Bera