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Floquet engineering is one of the most vigorous fields in periodically driven (Floquet) systems, with which we can control phases of matter usually by high-frequency drives. In this paper, with Floquet engineering by a combination of…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

A topological insulator is regarded as an ideal candidate for information storage and high-speed lossless electrical transmission devices due to robust topological protected boundary modes. Previous studies revealed that symmetry exerts an…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Ming-Jian Gao , Jun-Hong An

Higher-order topological insulators are an intriguing new family of topological states that host lower-dimensional boundary states. Concurrently, quasiperiodic systems have garnered significant interest due to their complex localization and…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Raul Liquito , Miguel Gonçalves , Eduardo V. Castro

Local topological charge structure in the 2D CP(N-1) sigma models is studied using the overlap Dirac operator. Long-range coherence of topological charge along locally 1D regions in 2D space-time is observed. We discuss the connection…

High Energy Physics - Lattice · Physics 2009-11-10 H. Thacker , S. Ahmad , J. Lenaghan

Gauge fields provide the fundamental interactions in the Standard Model of particle physics. Gauge field configurations with nontrivial topological windings are known to play crucial roles in many important phenomena, from…

High Energy Physics - Phenomenology · Physics 2023-04-10 Anping Huang , Shuzhe Shi , Shu Lin , Xingyu Guo , Jinfeng Liao

The dynamical encirclement around a second order exceptional point (EP) and corresponding chirality driven nonadiabatic modal dynamics have attracted enormous attention in the topological study of various non-Hermitian systems. However,…

Optics · Physics 2020-04-08 Sibnath Dey , Arnab Laha , Somnath Ghosh

The cooperation between time-periodic driving fields and non-Hermitian effects could endow systems with distinctive spectral and transport properties. In this work, we uncover an intriguing class of non-Hermitian Floquet matter in…

Quantum Physics · Physics 2022-08-16 Longwen Zhou , Wenqian Han

For the solid state physics, recent interest to topological systems is mostly connected with topological semimetals, in particular, to Weyl ones as the most representative semimetal type. Like other topological materials, e.g. topological…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 E. V. Deviatov

Chiroptical effects, characterized by different optical responses for left- (LCP) and right- handed circularly polarized light (RCP), are powerful and valuable tools in optics with wide applications in polarization resolved imaging and…

Optics · Physics 2018-05-02 Weimin Ye , Xiaodong Yuan , Chucai Guo , Jianfa Zhang , Biao Yang , Shuang Zhang

Topological insulators are characterized by the presence of gapless surface modes protected by time-reversal symmetry. In three space dimensions the magnetoelectric response is described in terms of a bulk theta term for the electromagnetic…

Strongly Correlated Electrons · Physics 2013-05-29 Brian Swingle , Maissam Barkeshli , John McGreevy , T. Senthil

Cd3As2 is a three-dimensional topological Dirac semimetal with connected Fermi-arc surface states. It has been suggested that topological superconductivity can be achieved in the nontrivial surface states of topological materials by…

Superconductivity · Physics 2018-05-04 Wenlong Yu , Wei Pan , Douglas L. Medlin , Mark A. Rodriguez , Stephen R Lee , Zhi-qiang Bao , Fan Zhang

The interplay between Floquet periodically driving and non-Hermiticity could bring about intriguing novel phenomena with anomalous Floquet topological phases of a finite-size, tight-binding lattice model. How to efficiently investigate on…

Other Condensed Matter · Physics 2025-08-04 Yifei Xia , Xiumei Wang , Yali Li , Xingping Zhou

We study a class of periodic Schr\"odinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". We then show that the introduction of an "edge", via adiabatic modulation of these periodic…

Mathematical Physics · Physics 2015-04-09 Charles L. Fefferman , James P. Lee-Thorp , Michael I. Weinstein

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

Floquet topological insulators have been widely investigated in lower-dimensional systems. However, Floquet topological insulators induced by time-periodic driving in higher-dimensional systems remain unexplored. In this work, we study the…

Mesoscale and Nanoscale Physics · Physics 2024-03-11 Zheng-Rong Liu , Rui Chen , Bin Zhou

Recent advances in topological mechanics have revealed unusual phenomena such as topologically protected floppy modes and states of self-stress that are exponentially localized at boundaries and interfaces of mechanical networks. In this…

Soft Condensed Matter · Physics 2021-05-03 Harry Liu , Di Zhou , Leyou Zhang , David K. Lubensky , Xiaoming Mao

The existence of topological solutions and axial anomaly open a possibility of P and CP violation in QCD. For a reason that has not yet been established conclusively, this possibility is not realized in strong interactions - the…

High Energy Physics - Phenomenology · Physics 2015-05-14 Dmitri E. Kharzeev

We show that Floquet chiral topological superconductivity arises naturally in Josephson junctions made of magnetic topological insulator-superconductor sandwich structures. The Josephson phase modulation associated with an applied bias…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Rui-Xing Zhang , S. Das Sarma

Following a general protocol of periodically driving static first-order topological phases (supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses, here we construct a hierarchy of higher-order Floquet…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Tanay Nag , Vladimir Juricic , Bitan Roy

Non-reciprocal couplings or drivings are known to induce steady-state, directional, amplification in driven-dissipative bosonic lattices. This amplification phenomenon has been recently linked to the existence of a non-zero topological…