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In this paper we review some connections recently discovered between topological insulators and certain classes of quantum spin liquids, focusing on two and three spatial dimensions. In two dimensions we show the integer quantum Hall effect…

Strongly Correlated Electrons · Physics 2012-03-29 Gregory A. Fiete , Victor Chua , Mehdi Kargarian , Rex Lundgren , Andreas Ruegg , Jun Wen , Vladimir Zyuzin

A topological insulator (TI) is an unusual quantum state in which the insulating bulk is topologically distinct from vacuum, resulting in a unique metallic surface that is robust against time-reversal invariant perturbations. These surface…

Strongly Correlated Electrons · Physics 2013-10-28 D. J. Kim , S. Thomas , T. Grant , J. Botimer , Z. Fisk , Jing Xia

Topological insulators (TIs) are a striking example of materials in which topological invariants are manifested in robustness against perturbations. Their most prominent feature is the emergence of topological edge states with reduced…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 S. Klembt , T. H. Harder , O. A. Egorov , K. Winkler , R. Ge , M. A. Bandres , M. Emmerling , L. Worschech , T. C. H. Liew , M. Segev , C. Schneider , S. Höfling

Strong topological insulators may have nonzero weak indices. The nonzero weak indices allow for the existence of topologically protected helical states along line defects of the lattice. If the lattice admits line defects that connect…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Björn Sbierski , Martin Schneider , Piet W. Brouwer

The results of a detailed study of the topological insulator Bi$_2$Se$_3$ surface state energy structure in the vicinity of surface steps using scanning tunneling microscopy and spectroscopy methods are presented. An increase in the…

Materials Science · Physics 2017-04-11 N. I. Fedotov , S. V. Zaitsev-Zotov

The recent discoveries about topological insulators have been promoting theoretical and experimental research. In this dissertation, the basic concepts of topological insulators and the Quantum Hall Effect are reviewed focusing the…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Manuel B. Santos

3D topological insulators are characterized by an insulating bulk and extended surface states exhibiting a helical spin texture. In this work, we investigate the hyperfine interaction between the spin-charge coupled transport of electrons…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 A. Mert Bozkurt , Sofie Kölling , Alexander Brinkman , İnanç Adagideli

We demonstrate that the terahertz/infrared radiation induced photogalvanic effect, which is sensitive to the surface symmetry and scattering details, can be applied to study the high frequency conductivity of the surface states in…

We describe a three-dimensional crystalline topological insulator (TI) phase of matter that exhibits spontaneous polarization. This polarization results from the presence of (approximately) flat bands on the surface of such TIs. These flat…

Materials Science · Physics 2021-06-16 J. Nissinen , Tero T. Heikkila , G. E. Volovik

One of the most striking manifestations of electronic properties of topological insulators is the dependence of the photocurrent direction on the helicity of circularly polarized optical excitation. The helicity dependent photocurrents,…

Topological Insulators (TIs) present an interesting materials platform for nanoscale, high frequency devices because they support high mobility, low scattering electronic transport within confined surface states. However, a robust…

Higher-order topological insulators (HOTI) are a novel topological phase beyond the framework of the conventional bulk-boundary correspondence. In these peculiar systems, the topologically nontrivial boundary modes are characterized by a…

In recent years, the role of crystal symmetries in enriching the variety of TIs have been actively investigated. Higher-order TIs are a new type of topological crystalline insulators that exhibit gapless boundary states whose dimensionality…

Strongly Correlated Electrons · Physics 2018-11-20 Akishi Matsugatani , Haruki Watanabe

Topological insulator (TI) states have been demonstrated in materials with narrow gap and large spin-orbit interactions (SOI). Here we demonstrate that nanoscale engineering can also give rise to a TI state, even in conventional…

Materials Science · Physics 2015-06-05 M. S. Miao , Q. Yan , C. G. Van de Walle , W. K. Lou , L. L. Li , K. Chang

Time reversal (T) invariant topological insulator is widely recognized as one of the fundamental discoveries in condensed matter physics, for which the most fascinating hallmark is perhaps a spin based topological protection, the total…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 Xue-Feng Zhu , Yu-Gui Peng , Xiang-Yuan Yu , Han Jia , Ming Bao , Ya-Xi Shen , De-Gang Zhao

Topological insulators (TIs) constitute a new class of materials with unique properties resulting from the relativistic-like character and topological protection of their surface states. Theory predicts these to exhibit a rich variety of…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 Hadar Steinberg , Dillon R. Gardner , Young S. Lee , Pablo Jarillo-Herrero

The surface of a 3D topological insulator is conducting and the topologically nontrivial nature of the surface states is observed in experiments. It is the aim of this paper to review and analyze experimental observations with respect to…

Mesoscale and Nanoscale Physics · Physics 2013-03-11 M. Veldhorst , M. Snelder , M. Hoek , C. G. Molenaar , D. P. Leusink , A. A. Golubov , H. Hilgenkamp , A. Brinkman

Topological insulators are characterized by spin-momentum-locked massless surface states which are robust under various perturbations. Manipulating such surface states is a topic of vigorous research, as a possible route for the realization…

Step edges of topological crystalline insulators can be viewed as predecessors of higher-order topology, as they embody one-dimensional edge channels embedded in an effective three-dimensional electronic vacuum emanating from the…

Higher-order topological insulators (HOTIs) have attracted increasing interest as a unique class of topological quantum materials. One distinct property of HOTIs is the crystalline symmetry-imposed topological state at the lower-dimensional…

Materials Science · Physics 2023-07-25 Xiaoyin Li , Feng Liu