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Three-dimensional topological insulators represent a new class of materials in which transport is governed by Dirac surface states while the bulk remains insulating. Due to helical spin polarization of the surface states, the coupling of a…

Electronic systems harboring one dimensional helical modes, where the spin and momentum of the electron are locked, have lately become an important field of its own. When coupled to a conventional superconductor, such systems are expected…

Mesoscale and Nanoscale Physics · Physics 2018-05-08 Yuval Ronen , Yonatan Cohen , Daniel Banitt , Moty Heiblum , Vladimir Umansky

We propose a surface-edge state theory for half quantized Hall conductance of surface states in topological insulators. The gap opening of a single Dirac cone for the surface states in a weak magnetic field is demonstrated. We find a new…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Rui-Lin Chu , Junren Shi , Shun-Qing Shen

Lattice defects such as stacking faults may obscure electronic topological features of real materials. In fact, defects are a source of disorder that can enhance the density of states and conductivity of the bulk of the system and they…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Gabriele Naselli , Viktor Könye , Sanjib Kumar Das , G. G. N. Angilella , Anna Isaeva , Jeroen van den Brink , Cosma Fulga

The interplay between real-space topological lattice defects and the reciprocal-space topology of energy bands can give rise to novel phenomena, such as one-dimensional topological modes bound to screw dislocations in three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Haoran Xue , Ding Jia , Yong Ge , Yi-jun Guan , Qiang Wang , Shou-qi Yuan , Hong-xiang Sun , Y. D. Chong , Baile Zhang

Topological insulators (TIs) are a new class of matter characterized by the unique electronic properties of an insulating bulk and metallic boundaries arising from non-trivial bulk band topology. While the surfaces of TIs have been well…

Materials Science · Physics 2014-10-09 L. Seixas , D. West , A. Fazzio , S. B. Zhang

We derive the spin texture of a weak topological insulator via a supersymmetric approach that includes the roles of the bulk gap edge states and surface band bending. We find the spin texture can take one of four forms: (i) helical, (ii)…

Materials Science · Physics 2020-06-20 F. Rost , R. Gupta , S. Sharma , O. Pankratov , S. Shallcross

Topological insulators (TI) are materials having an energy band gap in the bulk and conducting helical electronic states on the surface. The helical states are protected by time reversal symmetry thus are expected to be robust against…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 Xue-Feng Wang , Yibin Hu , Hong Guo

Quantum conductance fluctuations are investigated in disordered 3D topological insulator quantum wires. Both experiments and theory reveal a new transport regime in a mesoscopic conductor, pseudo-ballistic transport, for which ballistic…

Quantum wells formed by layers of HgTe between Hg$_{1-x}$Cd$_x$Te barriers lead to two-dimensional (2D) topological insulators, as predicted by the BHZ model. Here, we theoretically and experimentally investigate the characteristics of…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 G. J. Ferreira , D. R. Candido , F. G. G. Hernandez , G. M. Gusev , E. B. Olshanetsky , N. N. Mikhailov , S. A. Dvoretsky

Three-dimensional topological insulators are classified into "strong" (STI) and "weak" (WTI) according to the nature of their surface states. While the surface states of the STI are topologically protected from localization, this does not…

Materials Science · Physics 2012-07-04 Zohar Ringel , Yaacov E. Kraus , Ady Stern

Topological insulators represent a new quantum state of matter which is characterized by edge or surface states and an insulating band gap in the bulk. In a two dimensional (2D) system based on the HgTe quantum well (QW) of critical width…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 G. M. Gusev , Z. D. Kvon , D. A. Kozlov , E. B. Olshanetsky , M. V. Entin , N. N. Mikhailov

The surface states of three-dimensional topological insulators exhibit a helical spin texture with spin locked to momentum. To date, however, the direct all-electrical detection of the helical spin texture has remained elusive owing to the…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Shi-Han Zheng , Hou-Jian Duan , Mou Yang , Rui-Qiang Wang

Quantum spin Hall edge transport in two-dimensional transition-metal dichalcogenides depends on whether their one-dimensional edge channels are preserved under realistic substrates and device boundaries. Here we implement spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Wei Li , Pier Philipsen , Thomas Brumme , Thomas Heine

Two-dimensional (2D) topological insulators (TIs) hold promise for applications in spintronics based on the fact that the propagation direction of edge electrons of a 2D TI is robustly linked to their spin origination. Here, with the use of…

Materials Science · Physics 2015-09-02 Yandong Ma , Liangzhi Kou , Ying Dai , Thomas Heine

We study dynamical mass generation and the resultant helical spin orders in topological Dirac and Weyl semimetals, including the edge states of quantum spin Hall insulators, the surface states of weak topological insulators, and the bulk…

Strongly Correlated Electrons · Physics 2015-08-14 Xiao-Qi Sun , Shou-Cheng Zhang , Zhong Wang

We investigate the topological properties of one-dimensional weakly interacting topological insulators using bosonization. To do that we study the topological edge states that emerge at the edges of a model realized by a strong impurity or…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Polina Matveeva , Dmitri Gutman , Sam T. Carr

Heterostructures combining topological and non-topological materials constitute the next frontier in the effort to incorporate topological insulators (TIs) into functional electronic devices. We show that the properties of the interface…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Mahmoud M. Asmar , Daniel E. Sheehy , Ilya Vekhter

One of the unique features of Dirac Fermions is pseudo-diffusive transport by evanescent modes at low Fermi energies when the disorder is low. At higher Fermi energies i.e. carrier densities, the electrical transport is diffusive in nature…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Saurav Islam , Semonti Bhattacharyya , Hariharan Nhalil , Suja Elizabeth , Arindam Ghosh

We review the contributions of surface science methods to discover and improve 3D topological insulator materials, while illustrating with examples from our own work. In particular, we demonstrate that spin-polarized angular-resolved…

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