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A three-dimensional topological insulator features a two-dimensional surface state consisting of a single linearly-dispersive Dirac cone. Under broken time-reversal symmetry, the single Dirac cone is predicted to cause half-integer…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 M. Mogi , Y. Okamura , M. Kawamura , R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , T. Morimoto , N. Nagaosa , M. Kawasaki , Y. Takahashi , Y. Tokura

Topological insulators host topology-linked boundary states, whose spin and charge degrees of freedom could be exploited to design topological devices with enhanced functionality. We experimentally observe that dissipationless chiral edge…

Quantum Physics · Physics 2022-07-26 Chao Chen , Xing Ding , Jian Qin , Jizhou Wu , Yu He , Chao-Yang Lu , Li Li , Xiong-Jun Liu , Barry C. Sanders , Jian-Wei Pan

A Chern insulator (quantum anomalous Hall insulator) phase is demonstrated to exist in a typical semi-Dirac system, the TiO2/VO2 heterostructure. By combining first-principles calculations with Wannier-based tight-binding model, we…

Materials Science · Physics 2015-11-04 Huaqing Huang , Zhirong Liu , Hongbin Zhang , Wenhui Duan , David Vanderbilt

Whereas the concept of topological band-structures was developed originally for insulators with a bulk bandgap, it has become increasingly clear that the prime consequences of a non-trivial topology -- spin-momentum locking of surface…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Carmine Ortix , Jörn W. F. Venderbos , Roland Hayn , Jeroen van den Brink

Symmetry breaking in quantum materials is of great importance and can lead to nonreciprocal charge transport. Topological insulators provide a unique platform to study nonreciprocal charge transport due to their surface states, especially…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Chunfeng Li , Rui Wang , Shuai Zhang , Yuyuan Qin , Zhe Ying , Boyuan Wei , Zheng Dai , Fengyi Guo , Wei Chen , Rong Zhang , Baigeng Wang , Xuefeng Wang , Fengqi Song

The two-dimensional topological insulating phase has been experimentally discovered in HgTe quantum wells (QWs). The low-energy physics of two-dimensional topological insulators (TIs) is described by the Bernevig-Hughes-Zhang (BHZ) model,…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 P. Michetti , P. H. Penteado , J. C. Egues , P. Recher

The topological states of matter and topological materials have been attracting extensive interests as one of the frontier topics in condensed matter physics and materials science since the discovery of quantum Hall effect in 1980s. So far…

Mesoscale and Nanoscale Physics · Physics 2022-03-03 Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Huan-Wen Wang , Shun-Qing Shen

In 2D topological insulators (TIs) based on semiconductor quantum wells such as HgTe/CdTe or InAs/GaSb/AlSb, spin polarized edge states have been predicted with a massless Dirac like dispersion. In a hard wall treatment based on the 4 x 4…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 P. C. Klipstein

Three dimensional (3D) topological insulators are novel states of quantum matter that feature spin-momentum locked helical Dirac fermions on their surfaces and hold promise to open new vistas in spintronics, quantum computing and…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , A. Petersen , A. Fedorov , H. Lin , A. Bansil , Y. S. Hor , D. Grauer , R. J. Cava , M. Z. Hasan

We report on transport and capacitance spectroscopy study of two kinds of quantum wells, namely Cd$_{0.02}$Hg$_{0.98}$Te and Cd$_{0.06}$Hg$_{0.94}$Te with the thicknesses of 7.4 and 11.5 nm, accordingly. The fraction of Cd was chosen in a…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 M. L. Savchenko , D. A. Kozlov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , B. A. Piot

In a topological insulator, it is the electrons on the surface or edge that carry the signature of topology. Recently, a novel topological state has been proposed in metals or semimetals (gapless) whose band-structure is similar to that of…

Topological semimetals are a frontier of quantum materials. In multi-band electronic systems, topological band-crossings can form closed curves, known as nodal lines. In the presence of spin-orbit coupling and/or symmetry-breaking…

Materials Science · Physics 2022-07-22 Tiantian Zhang , T. Yilmaz , E. Vescovo , H. X. Li , R. G. Moore , H. N. Lee , H. Miao , S. Murakami , M. A. McGuire

Quantum mechanical systems, whose degrees of freedom are so-called su(2)_k anyons, form a bridge between ordinary SU(2) spin systems and systems of interacting non-Abelian anyons. Such a connection can be made for arbitrary spin-S systems,…

Strongly Correlated Electrons · Physics 2009-08-15 Charlotte Gils , Eddy Ardonne , Simon Trebst , Andreas W. W. Ludwig , Matthias Troyer , Zhenghan Wang

We study the influence of sample termination on the electronic properties of the novel quantum spin Hall insulator monolayer $1T'$-WTe$_2$. For this purpose, we construct an accurate, minimal 4-orbital tight-binding model with spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Alexander Lau , Rajyavardhan Ray , Daniel Varjas , Anton Akhmerov

The anomalous surface states of symmetry protected topological (SPT) phases are usually thought to be only possible in conjunction with the higher dimensional topological bulk. However, it has recently been realized that a class of…

Strongly Correlated Electrons · Physics 2017-12-29 Andrew C. Potter , Chong Wang , Max A. Metlitski , Ashvin Vishwanath

We have designed three-dimensional models of topological insulator thin films, showing a tunability of the odd number of Dirac cones on opposite surfaces driven by the atomic-scale geometry at the boundaries. This enables creation of a…

Mesoscale and Nanoscale Physics · Physics 2013-01-03 David Soriano , Frank Ortmann , Stephan Roche

There are two types of edge states in graphene with/without magnetic field. One is a quantum Hall edge state, which is topologically protected against small perturbation. The other is a chiral zero mode that is localized near the boundary…

Mesoscale and Nanoscale Physics · Physics 2011-06-24 Y. Hatsugai

We investigate topological phases in three-dimensional topological insulator (3DTI) thin films interfaced with altermagnetic (AM) orders. Starting from a modified Dirac equation, we elucidate the interplay between the Wilson mass, arising…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

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

We derive a scheme for systematically enumerating the responses of gapped as well as gapless systems of free fermions to electromagnetic and strain fields starting from a common parent theory. Using the fact that position operators in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-29 Daniel Bulmash , Pavan Hosur , Shou-Cheng Zhang , Xiao-Liang Qi