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We provide evidence that, alongside topologically protected edge states, two-dimensional Chern insulators also support localised bulk states deep in their valance and conduction bands. These states manifest when local potential gradients…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Chris N. Self , Alvaro Rubio-García , Juan Jose García-Ripoll , Jiannis K. Pachos

Three-dimensional topological insulators and topological crystalline insulators represent new quantum states of matter, which are predicted to have insulating bulk states and spin-momentum-locked gapless surface states. Experimentally, it…

Spin-orbit coupled materials have attracted revived prominent research interest as of late, especially due their direct connection with topological notions. Arguably, a hallmark of this pursuit is formed by the concept of the topological…

Mesoscale and Nanoscale Physics · Physics 2019-07-29 Robert-Jan Slager

We study theoretically the distributions of charge and spin polarization of a topological insulator ribbon, with a realistic rectangular cross section. Due to constriction in two lateral directions, the surface states discretize into a…

Materials Science · Physics 2011-12-13 Lei Hao , Peter Thalmeier , T. K. Lee

Since the prediction of a new topological state of matter in graphene, materials acting as topological insulators have attracted wide attention. Shortly after the theoretical proposal for a mercury telluride (HgTe)-based two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Viktor Krueckl , Klaus Richter

We study the localization-driven correlated states among two isolated dirty interacting helical edges as realized at the boundaries of two-dimensional $\mathbb{Z}_2$ topological insulators. We show that an interplay of time-reversal…

Strongly Correlated Electrons · Physics 2019-01-15 Yang-Zhi Chou

Topological insulators [1-6] is a new quantum phase of matter with exotic properties such as dissipationless transport and protection against Anderson localization [7]. These new states of quantum matter could be one of the missing links…

Materials Science · Physics 2010-07-29 M. Klintenberg

Topological insulators, along with Chern insulators and Quantum Hall insulator phases, are considered as paradigms for symmetry protected topological phases of matter. This article reports the experimental realization of the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Priya Tiwari , Saurabh Kumar Srivastav , Sujay Ray , Tanmoy Das , Aveek Bid

We study in-gap electronic states induced by a nonmagnetic defect with short-range potential in two-dimensional topological insulators and trace their evolution as the distance between the defect and the boundary changes. The defect located…

Mesoscale and Nanoscale Physics · Physics 2015-02-13 Vladimir A. Sablikov , Aleksei A. Sukhanov

We show that edge states similar to those known for topological insulators exist in two-dimensional electron system with one-band spectrum in the presence of heterogeneous spin-orbit interaction (SOI). These states appear at boundaries…

Mesoscale and Nanoscale Physics · Physics 2010-11-17 Aleksei A. Sukhanov , Vladimir A. Sablikov

Nonlinear topological insulators have garnered substantial recent attention as they have both enabled the discovery of new physics due to interparticle interactions, and may have applications in photonic devices such as topological lasers…

Mesoscale and Nanoscale Physics · Physics 2023-11-30 Stephan Wong , Terry A. Loring , Alexander Cerjan

We study the nonlinear thermoelectric cooling performance of a quantum spin Hall system. The setup consists of a nanomagnet contacting a Kramers' pair of helical edge states, resulting in a transmission probability with a rich structure…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Fatemeh Hajiloo , Pablo Terrén Alonso , Nastaran Dashti , Liliana Arrachea , Janine Splettstoesser

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

The intertwined ferroelectricity and band topology will enable the non-volatile control of the topological states, which is of importance for nanoelectrics with low energy costing and high response speed. Nonetheless, the principle to…

Materials Science · Physics 2021-02-16 Yan Liang , Ning Mao , Ying Dai , Liangzhi Kou , Baibiao Huang , Yandong Ma

Two-dimensional topological superconductivity has attracted great interest due to the emergence of Majorana modes bound to vortices and propagating along edges. However, due to its rare appearance in natural compounds, experimental…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 J. L. Lado , M. Sigrist

Weak antilocalization measurements has become a standard tool for studying quantum coherent transport in topological materials. It is often used to extract information about number of conducting channels and dephasing length of topological…

Mesoscale and Nanoscale Physics · Physics 2018-12-21 K. Dybko , G. P. Mazur , W. Wolkanowicz , M. Szot , P. Dziawa , J. Z. Domagala , M. Wiater , T. Wojtowicz , G. Grabecki , T. Story

Two-dimensional topological insulator features time-reversal-invariant spin-momentum-locked one-dimensional (1D) edge states with a linear energy dispersion. However, experimental access to 1D edge states is still of great challenge and…

Topological edge states are an attractive starting point for post-CMOS device concepts, but turning them into elementary logic still requires simple architectures with a clear physical mechanism. Here we investigate binary logic in…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 K. Zberecki

The topology of an insulator can be defined even when all eigenstates of the system are localized - an extreme case of Anderson insulators that we call ultra-localized. We derive the classification of such ultra-localized insulators in all…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Bastien Lapierre , Luka Trifunovic , Titus Neupert , Piet W. Brouwer

The bulk-boundary correspondence is a generic feature of topological states of matter, reflecting the intrinsic relation between topological bulk and boundary states. For example, robust edge states propagate along the edges and corner…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Ai-Lei He , Wei-Wei Luo , Yuan Zhou , Yi-Fei Wang , Hong Yao