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We study second-order topological insulators and semimetals characterized by chiral symmetry. We investigate topological phase transitions of a model for construction of the two-dimensional second-order topological insulators protected only…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 Ryo Okugawa , Shin Hayashi , Takeshi Nakanishi

We have studied quantized transport in HgTe wells with inverted band structure corresponding to the two-dimensional topological insulator phase (2D TI) with locally-controlled density allowing n-p-n and n-2D TI-n junctions. The resistance…

Mesoscale and Nanoscale Physics · Physics 2013-02-15 G. M. Gusev , A. D. Levin , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

We present the first experimental study of the double-quantum-well (DQW) system made of 2D layers with inverted energy band spectrum: HgTe. The magnetotransport reveals a considerably larger overlap of the conduction and valence subbands…

Mesoscale and Nanoscale Physics · Physics 2016-03-14 M. V. Yakunin , A. V. Suslov , M. R. Popov , E. G. Novik , S. A. Dvoretsky , N. N. Mikhailov

The paired top and bottom Dirac surface states, each associated with a half-integer quantum Hall (QH) effect, and a resultant integer QH conductance ({\nu}e2/h), are hallmarks of a three-dimensional (3D) topological insulator (TI). In a…

Mesoscale and Nanoscale Physics · Physics 2020-01-07 Su Kong Chong , Kyu Bum Han , Taylor D. Sparks , Vikram V. Deshpande

Driving quantum phase transitions in the 3D topological insulators offers pathways to tuning the topological states and their properties. We use DFT-based calculations to systematically investigate topological phase transitions in…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Karunya Shirali , William A. Shelton , Ilya Vekhter

We show that the Quantum Spin Hall Effect, a state of matter with topological properties distinct from conventional insulators, can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantum well, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

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

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

Recently extended from the modern theory of electric polarization, quantized multipole topological insulators (QMTIs) describe higher-order multipole moments, lying in nested Wilson loops, which are inherently quantized by lattice…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Xiang Ni , Mengyao Li , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

Transition metal dichalcogenide (TMD) materials are unique in the wide variety of structural and electronic phases they exhibit in the two-dimensional (2D) single-layer limit. Here we show how such polymorphic flexibility can be used to…

We calculate bulk transport properties of two-dimensional topological insulators based on HgTe quantum wells in the ballistic regime. Interestingly, we find that the conductance and the shot noise are distinctively different for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 E. G. Novik , P. Recher , E. M. Hankiewicz , B. Trauzettel

Quantum spin Hall (QSH) insulator materials feature topologically protected edge states that can drastically reduce dissipation and are useful for the next-generation electronics. However, the nonvolatile control of topological edge state…

Materials Science · Physics 2020-12-30 Hua Bai , Xinwei Wang , Weikang Wu , Pimo He , Zhu'an Xu , Shengyuan A. Yang , Yunhao Lu

A behavior of quantum states (superposition of two lowest eigenstates, Gaussian wave packet) in phase space is studied for one and two dimensional double well potential. Two dimensional potential is constructed from double well potential…

Chemical Physics · Physics 2007-05-23 Dmytro Babyuk

We propose a minimal effective two-dimensional Hamiltonian for HgTe/CdHgTe quantum wells (QWs) describing the side maxima of the first valence subband. By using the Hamiltonian, we explore the picture of helical edge states in tensile and…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 S. S. Krishtopenko , F. Teppe

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

We report the experimental observation of Anderson localization in two-dimensional (2D) electrons and holes in the bulk of HgTe quantum wells with a semimetallic spectrum and under strong disorder. In contrast, the one-dimensional (1D) edge…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 D. A. Khudaiberdiev , Z. D. Kvon , M. S. Ryzhkov , D. A. Kozlov , N. N. Mikhailov , A. Pimenov

We consider a generalization of the 2-dimensional (2D) quantum-Hall insulator to a non-compact, non-Abelian gauge group, the Heisenberg-Weyl group. We show that this kind of insulator is actually a layered 3D insulator with nontrivial…

Quantum Gases · Physics 2011-11-18 A. Zamora , G. Szirmai , M. Lewenstein

The layered semimetal WTe_2 has recently been found to be a two-dimensional topological insulator (2D TI) when thinned down to a single monolayer, with conducting helical edge channels. We report here that intrinsic superconductivity can be…

The 2007 discovery of quantized conductance in HgTe quantum wells delivered the field of topological insulators (TIs) its first experimental confirmation. While many three-dimensional TIs have since been identified, HgTe remains the only…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Conan Weeks , Jun Hu , Jason Alicea , Marcel Franz , Ruqian Wu

We theoretically investigate the engineering of two-dimensional second-order topological insulators with corner states by coupling two first-order topological insulators. We find that the interlayer coupling between two topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Lizhou Liu , Jiaqi An , Yafei Ren , Yingtao Zhang , Zhenhua Qiao , Qian Niu