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We investigate topological insulating states in both two and three dimensions with the harmonic potential and strong spin-orbit couplings breaking the inversion symmetry. Landau-level like quantizations appear with the full 2D and 3D…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Yi Li , Xiangfa Zhou , Congjun Wu

The spintronic properties of curved nanostructures derived from two-dimensional topological insulators (2DTI's) are explored theoretically with density functional theory-based (DFT) calculations and tight-binding models. We show that curved…

Mesoscale and Nanoscale Physics · Physics 2021-01-06 Alireza Saffarzadeh , George Kirczenow

We report the discovery of several classes of novel topological insulators (TIs) with hybrid-order boundary states generated from the first-order TIs with additional crystalline symmetries. Unlike the current studies on hybrid-order TIs…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

The second order optical response of centrosymmetric materials manifests itself mostly at their surface, being strongly suppressed in their bulk. However, the overall surface response is also suppressed in nanoparticles with a…

Optics · Physics 2021-09-22 Raksha Singla , W. Luis Mochán

Higher-order topological insulators (HOTIs) represent a family of topological phases that go beyond the conventional bulkboundary correspondence. d-dimensional n-th order HOTIs maintain (d - n)-dimensional gapless boundary states (in…

Optics · Physics 2026-02-12 Rujiang Li , Wencai Wang , Yongtao Jia , Ying Liu , Pengfei Li , Boris A. Malomed

The effect of surface disorder on electronic systems is particularly interesting for topological phases with surface and edge states. Using exact diagonalization, it has been demonstrated that the surface states of a 3D topological…

Disordered Systems and Neural Networks · Physics 2015-08-12 Kun Woo Kim , Roger S. K. Mong , Marcel Franz , Gil Refael

An atomistic effective Hamiltonian technique is used to investigate the finite-temperature energy storage properties of a ferroelectric nanocomposite consisting of an array of BaTiO$_{3}$ nanowires embedded in a SrTiO$_{3}$ matrix, for…

Topological crystalline insulators are a class of materials with a bulk energy gap and edge or surface modes, which are protected by crystalline symmetry, at their boundaries. They have been realized in electronic systems: in particular, in…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 Jian-Xiao Zhang , Mikael C. Rechtsman , Chao-Xing Liu

We consider a metasurface consisting of a square lattice of cylindrical antidots in a two-dimensional topological insulator (2DTI). Each antidot supports a degenerate Kramer's pair of eigenstates formed by the helical topological edge…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Fedor Nigmatulin , Ivan Shelykh , Ivan Iorsh

Topological photonics and acoustics have recently garnered wide research interests for their topological ability to manipulate the light and sound at surfaces. Conventionally, the supercell technique is the standard approach to calculating…

Optics · Physics 2025-12-24 Yi-Xin Sha , Ming-Yao Xia , Ling Lu , Yi Yang

We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators. We consider D-dimensional HOTIs with gapless corner…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Selma Franca , Fabian Hassler , Ion Cosma Fulga

The discovery of three-dimensional (3D) topological insulators opens a gateway to generate unusual phases and particles made of the helical surface electrons, proposing new applications using unusual spin nature. Demonstration of the…

Mesoscale and Nanoscale Physics · Physics 2014-04-04 Seung Sae Hong , Yi Zhang , Judy J. Cha , Xiao-Liang Qi , Yi Cui

We study the equilibrium and non-equilibrium properties of topological dipolar intersurface exciton condensates within time-reversal invariant topological insulators in three spatial dimensions without a magnetic field. We elucidate that,…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 Youngseok Kim , E. M. Hankiewicz , Matthew J. Gilbert

Topological materials have gained significant attention in condensed matter physics due to their unique electronic and transport properties. Three-dimensional (3D) topological materials are characterized by robust electronic states that are…

Materials Science · Physics 2025-01-03 Jaime Sánchez-Barriga , Oliver J. Clark , Oliver Rader

Photonic topological insulators supporting unidirectional topologically protected edge states represent attractive platform for realization of disorder- and backscattering-immune transport of edge excitations in both linear and nonlinear…

Topological photonics provides an ideal platform for demonstrating novel band topology concepts, which are also promising for robust waveguiding, communication and computation applications. However, many challenges such as extremely large…

Optics · Physics 2020-03-18 Wenjing Liu , Minsoo Hwang , Zhurun Ji , Yuhui Wang , Gaurav Modi , Ritesh Agarwal

We present a symmetry-based calculation of the electronic structure of a compound semiconductor quantum dot (QD) in the sp^3s* tight-binding model including the spin-orbit interaction. The Hamiltonian matrix is diagonalized exactly for CdTe…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Perez-Conde , A. K. Bhattacharjee

Topological insulators are quantum materials that have an insulating bulk state and a topologically protected metallic surface state with spin and momentum helical locking and a Dirac-like band structure. Unique and fascinating electronic…

Optics · Physics 2018-11-21 Zengji Yue , Xiaolin Wang , Min Gu

Two-dimensional Na$_3$Bi is a dual topological insulator protected by time-reversal and mirror symmetry, resulting in a promising platform for devices design. However, in reality, the design of topological devices is hindered by a…

Mesoscale and Nanoscale Physics · Physics 2021-03-01 Bruno Focassio , Gabriel R. Schleder , Armando Pezo , Marcio Costa , Adalberto Fazzio

The discovery of topological phases has recently led to a paradigm shift in condensed matter physics, and facilitated breakthroughs in engineered photonics and acoustic metamaterials. Topological insulators (TIs) enable the generation of…

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