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Two-dimensional (2D) model of a weak topological insulator with $N$-stacked Su-Schrieffer-Heeger (SSH) chain is studied. This study starts with a basic model with all the fundamental symmetries (chiral, time-reversal, and particle-hole)…

Strongly Correlated Electrons · Physics 2023-09-06 Aayushi Agrawal , Jayendra N. Bandyopadhyay

We study the scattering of the Dirac electrons by a point-like nonmagnetic impurity on the surface of a topological insulator, driven by a time-periodic gate voltage. It is found that, due to the doublet degenerate crossing points of…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Ming-Xun Deng , R. Ma , Wei Luo , R. Shen , L. Sheng , D. Y. Xing

Time Reversal Symmetry (TRS) broken topological phases provide gapless surface states protected by topology, regardless of additional internal symmetries, spin or valley degrees of freedom. Despite the numerous demonstrations of 2D…

We study the time reversal (T) symmetry breaking of 2d helical fermi liquid, with application to the edge states of 3d topological band insulators with only one two-component Dirac fermion at finite chemical potential, as well as other…

Strongly Correlated Electrons · Physics 2015-05-13 Cenke Xu

A wide class of materials that were discovered to carry a topologically protected phase order has led to a highly active area of research called topological insulators. This phenomenon has radically changed our thinking because of their…

Materials Science · Physics 2014-10-21 Cui-Zu Chang , Peng Wei , Jagadeesh. S. Moodera

The single helical Fermi surface on the surface state of three-dimensional topological insulator Bi2Se3 is constrained by the time-reversal invariant bulk topology to possess a spin-singlet superconducting pairing symmetry. In fact, the…

Superconductivity · Physics 2019-07-24 P. Neha , P. K. Biswas , Tanmoy Das , S. Patnaik

Much of the recent enthusiasm directed towards topological insulators as a new state of matter is motivated by their hallmark feature of protected chiral edge states. In fermionic systems, Kramers degeneracy gives rise to these entities in…

Floquet Topological Insulators (FTIs) in two spatial dimensions can exhibit anomalous chiral edge modes despite a fully localized bulk, captured by a new topological invariant other than the Chern number. In this work, we focus on (2 + 1)D…

Strongly Correlated Electrons · Physics 2025-03-12 Shuangyuan Lu , Yuan-Ming Lu

We consider periodically modulated Su-Schrieffer-Heeger (SSH) model with gain and loss. This model, which can be realized with current technology in photonics using waveguides, allows us to study Floquet topological insulating phase. By…

Quantum Physics · Physics 2018-06-19 Z. Turker , S. Tombuloglu , C. Yuce

Studying the influence of breaking time-reversal symmetry on topological insulator surface states is an important problem of current interest in condensed matter physics and could provide a route toward proof-of-concept spintronic devices…

Mesoscale and Nanoscale Physics · Physics 2019-03-15 Joon Sue Lee , Anthony Richardella , Robert D. Fraleigh , Chao-xing Liu , Weiwei Zhao , Nitin Samarth

Recently, Floquet systems have attracted a great deal of interest as they offer unprecedented ability to engineer topological states through the tuning of an external time-periodic drive. Consequentially, seeking new driving protocols that…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Sam Olin , Wei-Cheng Lee

Time-periodic external drives have emerged as a powerful tool to artificially create topological phases of matter. Prime examples are Floquet topological insulators (FTIs), where a gapped bulk supports in-gap edge states, protected against…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Oleksandr Balabanov , Henrik Johannesson

We show that a semi-Dirac (SD) system with an inversion symmetry breaking mass exhibits a topological phase transition when irradiated with off-resonant light. Using Floquet theory, we derive the band structure, Chern numbers, phase…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Vassilios Vargiamidis , P. Vasilopoulos , Neophytos Neophytou

The breaking of time-reversal symmetry is a crucial ingredient to topological bands. It can occur intrisically in materials with magnetic order, or be induced by external fields, such as magnetic fields in quantum Hall systems, or…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Utso Bhattacharya , Swati Chaudhary , Tobias Grass , Allan S. Johnson , Simon Wall , Maciej Lewenstein

In this work, we reported a ubiquitous presence of topological Floquet time crystal (TFTC) in one-dimensional periodically-driven systems. The rigidity and realization of spontaneous discrete time-translation symmetry (DTS) breaking in our…

Optics · Physics 2020-11-25 Yiming Pan , Bing Wang

The zero-mode corner states in the gap of two-dimensional non-Hermitian Su-Schrieffer-Heeger model are robust to infinitesimal perturbations that preserve chiral symmetry. However, we demonstrate that this general belief is no longer valid…

Quantum Physics · Physics 2026-01-06 Xue-Min Yang , Hao Lin , Jian Li , Jia-Ji Zhu , Jun-Li Zhu , Hong Wu

We prove that any forms of electric current measurements within a gapped or gapless quantum system necessarily violate the time reversal symmetry (TRS). We then use the ionization energy theory to unequivocally show that the metallic…

Strongly Correlated Electrons · Physics 2014-07-10 Andrew Das Arulsamy

The high Chern number phases with the Chern number |C| > 1 are observed in this study of a periodically driven extended Su-Schrieffer-Heeger (E-SSH) model with a cyclic parameter. Besides the standard intra-dimer and the nearest-neighbor…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Aayushi Agrawal , Jayendra N. Bandyopadhyay

The system of spinless fermions on a hexagonal lattice is studied . We have considered tight-binding model with the hopping integrals between the nearest-neighbor and next-nearest-neighbor lattice sites, that depend on the direction of the…

Strongly Correlated Electrons · Physics 2017-04-27 Igor N. Karnaukhov

A 3d electron topological insulator (ETI) is a phase of matter protected by particle-number conservation and time-reversal symmetry. It was previously believed that the surface of an ETI must be gapless unless one of these symmetries is…

Strongly Correlated Electrons · Physics 2015-09-16 Max A. Metlitski , C. L. Kane , Matthew P. A. Fisher
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