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Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu

Floquet engineering of topological phase transitions driven by a high-frequency time-periodic field is a promising approach to realizing new topological phases of matter distinct from static states. Here, we theoretically investigate…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Kok Wai Lee , Mateo Jalen Andrew Calderon , Xiang-Long Yu , Ching Hua Lee , Yee Sin Ang , Pei-Hao Fu

Recent technological advances in integrated photonics have spurred on the study of topological phenomena in engineered bosonic systems. Indeed, the controllability of silicon ring-resonator arrays has opened up new perspectives for building…

Mesoscale and Nanoscale Physics · Physics 2016-04-26 Tomoki Ozawa , Hannah M. Price , Nathan Goldman , Oded Zilberberg , Iacopo Carusotto

Two-dimensional periodically-driven topological insulators have been shown to exhibit numerous topological phases, including ones which have no static analog, such as anomalous Floquet topological phases. We study a two dimensional model of…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 Balaganchi A. Bhargava , Sanjib Kumar Das , Ion Cosma Fulga

Presence of entangled states is explicitly shown in Topological insulator (TI) $Bi_2Te_3$. The surface and bulk state are found to have the different structures of entanglement. The surface states live as maximally entangled states in the…

Quantum Physics · Physics 2017-04-04 Anvesh Raja Kovela , Anant Vijay Verma , Prasanta K. Panigrahi , Bhavesh Chauhan

The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 V. Dal Lago , M. Atala , L. E. F. Foa Torres

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

Second-order topological insulators (SOTI) exhibit protected gapless boundary states at their hinges or corners. In this paper, we propose a generic means to construct SOTIs in static and Floquet systems by coupling one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-02-14 Raditya Weda Bomantara , Longwen Zhou , Jiaxin Pan , Jiangbin Gong

We propose and analyze two distinct routes toward realizing interacting symmetry-protected topological (SPT) phases via periodic driving. First, we demonstrate that a driven transverse-field Ising model can be used to engineer complex…

We develop a theory for the compressibility of the surface states of 3D topological insulators and propose that surface probes of the compressibility via scanning single electron transistor microscopy will be a straightforward way to access…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 D. S. L. Abergel , S. Das Sarma

Recently, higher-order topological insulators have been attracting extensive interest. Unlike the conventional topological insulators that demand bulk gap closings at transition points, the higher-order band topology can be changed without…

Other Condensed Matter · Physics 2022-06-15 Juan Du , Tianzi Li , Xiying Fan , Qicheng Zhang , Chunyin Qiu

We propose a systematic way of constructing Floquet second-order topological insulators (SOTIs) based on time-glide symmetry, a nonsymmorphic space-time symmetry that is unique in Floquet systems. In particular, we are able to show that the…

Mesoscale and Nanoscale Physics · Physics 2019-07-10 Yang Peng , Gil Refael

Topological phases enable protected transport along the edges of materials, offering immunity against scattering from disorder and imperfections. These phases were suggested and demonstrated not only for electronic systems, but also for…

Quantum confined devices of three-dimensional topological insulators have been proposed to be promising and of great importance for studies of confined topological states and for applications in low energy-dissipative spintronics and…

Mesoscale and Nanoscale Physics · Physics 2019-09-09 Yumei Jing , Shaoyun Huang , Jinxiong Wu , Mengmeng Meng , Xiaobo Li , Yu Zhou , Hailin Peng , H. Q. Xu

We demonstrate Floquet engineering in a basic yet scalable 2D architecture of individually trapped and controlled ions. Local parametric modulations of detuned trapping potentials steer the strength of long-range inter-ion couplings and the…

Three-dimensional (3D) elastic phononic topological insulator, featuring two-dimensional (2D) surface states, which support the high-efficient and robust elastic wave propagation without backscattering in all spatial dimensions, remains a…

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by…

We review methods for using time-periodic fields (e.g., laser or microwave fields) to induce non-equilibrium topological phenomena in quantum many-body systems. We discuss how such fields can be used to change the topological properties of…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Mark S. Rudner , Netanel H. Lindner

A recently-proposed class of photonic topological insulators is shown to map onto Chalker-Coddington-type networks, which were originally formulated to study disordered quantum Hall systems. Such network models are equivalent to the Floquet…

Mesoscale and Nanoscale Physics · Physics 2014-02-17 Michael Pasek , Y. D. Chong

As the thickness of a three-dimensional (3D) topological insulator (TI) becomes comparable to the penetration depth of the surface states, quantum tunneling between surfaces turns their gapless Dirac electronic structure into a gapped…

Mesoscale and Nanoscale Physics · Physics 2020-04-13 Su Kong Chong , Lizhe Liu , Taylor D. Sparks , Feng Liu , Vikram V. Deshpande