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Gapless Dirac surface states are protected at the interface of topological and normal band insulators. In a binary superlattice bearing such interfaces, we establish that valley-dependent dimerization of symmetry-unrelated Dirac surface…

Materials Science · Physics 2014-10-31 Xiao Li , Fan Zhang , Qian Niu , Ji Feng

We theoretically investigated the topological-protected edge states (TESs) in an anisotropic honeycomb lattice with mirror and chiral symmetries, characterized by an alternative topological invariant - fractional polarization (FP), rather…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Wei Jie Chan , Peihao Fu , L. K. Ang , Yee Sin Ang

A photonic Floquet topological insulator has previously been experimentally realized in an array of evanescently-coupled helical waveguides. In the topological regime probed by that experiment, the chirality of the single topological edge…

The Dirac cone on a surface of a topological insulator shows linear dispersion analogous to optics and its velocity depends on materials. We consider a junction of two topological insulators with different velocities, and calculate the…

Mesoscale and Nanoscale Physics · Physics 2011-10-18 Ryuji Takahashi , Shuichi Murakami

A honeycomb array of helical waveguides with zigzag-zigzag edges and a refractive index gradient orthogonal to the edges may support Floquet bound states in continuum (BICs). The gradient of the refractive index leads to strong asymmetry of…

Optics · Physics 2022-09-30 Chunyan Li , Yaroslav V. Kartashov , Vladimir V. Konotop

We discuss recent advances in the study of topological insulators protected by spatial symmetries by reviewing three representative, theoretical examples. In three dimensions, these states of matter are generally characterized by the…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Alexander Lau , Carmine Ortix

We introduce the electronic polarization originally defined in one-dimensional lattice systems to characterize two-dimensional topological insulators. The main idea is to use spiral boundary conditions which sweep all lattice sites in…

Strongly Correlated Electrons · Physics 2021-11-12 Masaaki Nakamura , Shohei Masuda , Satoshi Nishimoto

We consider asymmetric and symmetric dimerized two-leg ladders, comprising of four different lattice points per unit cell, illuminated by circularly polarized light. In the asymmetric dimerized ladder case, rungs are not perpendicular to…

Mesoscale and Nanoscale Physics · Physics 2020-09-08 Milad Jangjan , Mir Vahid Hosseini

The coupling of monochromatic light fields and solids introduces nonequilibrium Floquet states, offering opportunities to create and explore new topological phenomena. Using combined first-principles and Floquet analysis we show that one…

Strongly Correlated Electrons · Physics 2019-02-12 Hang Liu , Jia-Tao Sun , Sheng Meng

The realization of on-chip polarization beam splitters robust to fabrication imperfections remains a key challenge for polarization-sensitive photonic integration. We demonstrate a topologically protected polarization beam splitter based on…

Optics · Physics 2026-04-23 Shirin Afzal , Amesh Kahloon , Shabir Barzanjeh

We proposed a minimal model to describe the Floquet band structure of two-dimensional materials with light-induced resonant inter-band transition. We applied it to graphene to study the band features caused by the light irradiation.…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 Mou Yang , Zhi-Jun Cai , Rui-Qiang Wang , Yan-Kui Bai

Controlling spin currents in topological insulators (TIs) is crucial for spintronics but challenged by the robustness of their chiral edge states, which impedes the spin manipulation required for devices like spin-field effect transistors…

Mesoscale and Nanoscale Physics · Physics 2025-07-10 Esteban A. Rodríguez-Mena , Matías Berdakin , Luis E. F. Foa Torres

We explore the physics of a Chern insulator subjected to a two step Floquet drive. We analytically obtain the phase diagram and show that the system can exhibit different topological phases characterized by presence and chirality of…

Disordered Systems and Neural Networks · Physics 2016-12-07 Sthitadhi Roy , G. J. Sreejith

Recently realized higher order topological insulators have taken a surge of interest among the theoretical and experimental condensed matter community. The two-dimensional second order topological insulators give rise to zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-10-29 R. Banerjee , S. Mandal , T. C. H. Liew

Higher-order topological phases are characterized by protected states localized at the corners or hinges of the system. By applying time-periodic quenches to a two-dimensional lattice with balanced gain and loss, we obtain a rich variety of…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Jiaxin Pan , Longwen Zhou

Light drives offer a potential tool for the dynamical control of magnetic interactions in matter. We theoretically investigate the indirect exchange coupling between two parallel chains of magnetic impurities on the surface of a topological…

Mesoscale and Nanoscale Physics · Physics 2024-07-22 Modi Ke , Mahmoud M. Asmar , Wang-Kong Tse

Here we study the systematic evolution of the topological properties of a Chern insulator in presence of an electronic dispersion that can be tuned smoothly from being Dirac-like till a semi-Dirac one and beyond. The band structure under…

Mesoscale and Nanoscale Physics · Physics 2022-03-31 Sayan Mondal , Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh , Saurabh Basu

Certain insulating materials with strong spin-orbit coupling can conduct currents along their edges or surfaces. This phenomenon arises from the non-trivial topological properties of the electronic band-structure, and is somewhat similar to…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Tanja Duric , Zlatko Tesanovic

We construct the symmetric-gapped surface states of a fractional topological insulator with electromagnetic $\theta$-angle $\theta_{em} = \frac{\pi}{3}$ and a discrete $\mathbb{Z}_3$ gauge field. They are the proper generalizations of the…

Strongly Correlated Electrons · Physics 2017-11-15 Gil Young Cho , Jeffrey C. Y. Teo , Eduardo Fradkin

We characterize the occupied and unoccupied electronic structure of the topological insulator Bi$_2$Se$_3$ by one-photon and two-photon angle-resolved photoemission spectroscopy and slab band structure calculations. We reveal a second,…