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Within the framework of the Aubry-Andre model, one kind of self-dual quasiperiodic lattice, it is known that a sharp transition occurs from \emph{all} eigenstates being extended to \emph{all} being localized. The common perception for this…

Disordered Systems and Neural Networks · Physics 2013-12-04 Gang Wang , Nianbei Li , Tsuneyoshi Nakayama

The Aubry-Andr\'e-Harper (AAH) model with a self-dual symmetry plays an important role in studying the Anderson localization. Here we find a self-dual symmetry determining the quantum phase transition between extended and localized states…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Qi-Bo Zeng , Yong Xu

Periodically driven quantum systems provide a novel and versatile platform for realizing topological phenomena. Among these are analogs of topological insulators and superconductors, attainable in static systems; however, some of these…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Paraj Titum , Erez Berg , Mark S. Rudner , Gil Refael , Netanel H. Lindner

We investigate localization properties in a two-coupled uniform chains with quasiperiodic modulation on interchain coupling strength. We demonstrate that this ladder is equivalent to a Aubry-Andre (AA) chain when two legs are symmetric.…

Disordered Systems and Neural Networks · Physics 2021-06-24 R. Wang , X. M. Yang , Z. Song

As disorder strength increases in quantum many-body systems a new phase of matter, the so-called anybody localization, emerges across the whole spectrum. This transition is energy dependent, a phenomenon known as mobility edge, such that…

Disordered Systems and Neural Networks · Physics 2023-02-02 Rozhin Yousefjani , Abolfazl Bayat

Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems, and are in the process of being developed into a standard toolbox for quantum simulation. An outstanding challenge that leaves…

Quantum Physics · Physics 2024-10-24 Paul Manuel Schindler , Marin Bukov

We develop a theoretical framework that lays out the fundamental rules under which a periodic (Floquet) driving scheme can induce non-reciprocal transport. Our approach utilizes an extended Hilbert space where a Floquet network with an…

Optics · Physics 2018-04-24 Huanan Li , Tsampikos Kottos , Boris Shapiro

We establish the theoretical foundation of the Floquet graphene antidot lattice, whereby massless Dirac fermions are driven periodically by a circularly polarized electromagnetic field, while having their motion excluded from an array of…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Andrew Cupo , Emilio Cobanera , James D. Whitfield , Chandrasekhar Ramanathan , Lorenza Viola

We analyze electron dynamics and topological properties of open double quantum dots (DQDs) driven by circularly polarized ac-magnetic fields. In particular we focus on the system symmetries which can be tuned by the ac-magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Álvaro Gómez-León , Gloria Platero

In two dimensions, interacting Floquet topological phases may arise even in the absence of any protecting symmetry, exhibiting chiral edge transport that is robust to local perturbations. We explore a similar class of Floquet topological…

Strongly Correlated Electrons · Physics 2018-07-25 Dominic Reiss , Fenner Harper , Rahul Roy

Calculation of the Floquet quasi-energies of a system driven by a time-periodic field is an efficient way to understand its dynamics. In particular, the phenomenon of dynamical localization can be related to the presence of close approaches…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. E. Creffield

We investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide…

Statistical Mechanics · Physics 2021-05-05 Christoph Fleckenstein , Marin Bukov

We propose a method to study the time evolution of correlated electrons driven by an harmonic perturbation. Combining Floquet formalism to include the time-dependent field and Cluster Perturbation Theory to solve the many-body problem in…

Strongly Correlated Electrons · Physics 2016-10-19 M. Puviani , F. Manghi

The topological properties of electronic edge states in time-periodically driven spatially-periodic corrugated zigzag graphene nanoribbons are studied. An effective one-dimensional Hamiltonian is used to describe the electronic properties…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Pedro Roman-Taboada , Gerardo G. Naumis

Electronic behavior of a 1D Aubry chain with Hubbard interaction is critically analyzed in presence of electric field. Multiple energy bands are generated as a result of Hubbard correlation and Aubry potential, and, within these bands…

Mesoscale and Nanoscale Physics · Physics 2016-06-21 Srilekha Saha , Santanu K. Maiti , S. N. Karmakar

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 investigate the rich non-equilibrium physics arising in periodically driven open quantum systems, specifically those realized within microcavity resonators, whose dynamics are governed by a non-Hermitian Hamiltonian hosting Floquet…

Mesoscale and Nanoscale Physics · Physics 2026-02-20 Gaurab Kumar Dash , Subhendu Kumar Patra , Diptiman Sen , Manisha Thakurathi

Periodic driving fields can induce topological phase transitions, resulting in Floquet topological phases with intriguing properties such as very large Chern numbers and unusual edge states. Whether such Floquet topological phases could…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Han Hoe Yap , Longwen Zhou , Jian-Sheng Wang , Jiangbin Gong

Sil, Maiti, and Chakrabarti (SMC) (Phys. Rev. Lett. 101, 076803 (2008), arXiv:0801.2670) introduce an aperiodic two-leg ladder network composed of atomic sites with on-site potentials distributed according to a quasiperiodic Aubry-Andre…

Disordered Systems and Neural Networks · Physics 2014-02-13 Sergej Flach , Carlo Danieli

The St\v{r}eda formula establishes a fundamental connection between the topological invariants characterizing the bulk of topological matter and the presence of gapless edge modes. In this work, we extend the St\v{r}eda formula to…

Mesoscale and Nanoscale Physics · Physics 2025-09-12 Lucila Peralta Gavensky , Gonzalo Usaj , Nathan Goldman