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We consider the Kane-Mele model with spin-orbit coupling supplemented by a Hubbard U term. On the basis of projective auxiliary field quantum Monte Carlo simulations on lattice sizes up to 15 x 15, we map out the phase diagram. The quantum…

Strongly Correlated Electrons · Physics 2015-03-17 M. Hohenadler , T. C. Lang , F. F. Assaad

The outstanding transport properties expected at the edge of two-dimensional time-reversal invariant topological insulators have proven to be challenging to realize experimentally, and have so far only been demonstrated in very short…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 Luca Vannucci , Thomas Olsen , Kristian S. Thygesen

We propose a method that can consecutively modulate the topological orders or the number of helical edge states in ultrathin film semiconductors without a magnetic field. By applying a staggered periodic potential, the system undergoes a…

Mesoscale and Nanoscale Physics · Physics 2010-03-23 Zhan-Feng Jiang , Rui-Lin Chu , Shun-Qing Shen

The electronic states in incommensurate (IC) helical magnets are studied theoretically from the viewpoint of the localization/delocalization. It is found that in the multi-band system with relativistic spin-orbit interaction, the electronic…

Strongly Correlated Electrons · Physics 2007-05-23 Shu Tanaka , Hosho Katsura , Naoto Nagaosa

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

We consider a four-terminal setup of a two-dimensional topological insulator (quantum spin Hall insulator) with local tunneling between the upper and lower edges. The edge modes are modeled as helical Luttinger liquids and the…

Strongly Correlated Electrons · Physics 2011-08-30 Thomas L. Schmidt

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

We study spin susceptibility and magnetic order at the edges/surfaces of two-dimensional and three-dimensional topological insulators when the Fermi surface is nested. We find that due to spin-momentum locking as well as time-reversal…

Materials Science · Physics 2011-05-26 Jian-Hua Jiang , Si Wu

Varying the quantum-well width in an HgTe/CdTe heterostructure allows to realize normal and inverted semiconducting band structures, making it a prototypical system to study two-dimensional (2D) topological-insulator behavior. We have…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 T. Kernreiter , M. Governale , U. Zülicke

Weak antilocalization (WAL) effect due to the interference corrections to the conductivity has been studied experimentally in a strained InGaAs/InP quantum well structure. From measurements in tilted magnetic filed, it was shown that both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. A. Studenikin , P. T. Coleridge , P. J. Poole

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

Topological insulating states in two-dimensional (2D) materials are ideal systems to study different types of quantized response signals due to their in gap metallic states. Very recently, the quantum spin Hall (QSH) effect was discovered…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Junwen Lai , Xiangyang Liu , Jie Zhan , Tianye Yu , Peitao Liu , Xing-Qiu Chen , Yan Sun

Recent studies revealed that the electric multipole moments of insulators result in fractional electric charges localized to the hinges and corners of the sample. We here explore the magnetic analog of this relation. We show that a…

Strongly Correlated Electrons · Physics 2021-04-28 Haruki Watanabe , Yasuyuki Kato , Hoi Chun Po , Yukitoshi Motome

We study theoretically the role of quenched magnetic disorder at the surface of a topological insulator by numerical simulation and scaling analysis. It is found that all the surface states are localized while the transverse conductivity is…

Mesoscale and Nanoscale Physics · Physics 2011-04-19 Kentaro Nomura , Naoto Nagaosa

Topological phases are often characterized by special edge states confined near the boundaries by an energy gap in the bulk. On raising temperature, these edge states are lost in a clean system due to mobile thermal excitations. Recently…

Disordered Systems and Neural Networks · Physics 2013-10-07 Yasaman Bahri , Ronen Vosk , Ehud Altman , Ashvin Vishwanath

We report on a class of quantum spin Hall insulators (QSHIs) in strained-layer InAs/GaInSb quantum wells, in which the bulk gaps are enhanced by up to five folds as compared to the binary InAs/GaSb QSHI. Remarkably, with consequently…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Lingjie Du , Tingxin Li , Wenkai Lou , Xingjun Wu , Xiaoxue Liu , Zhongdong Han , Chi Zhang , Gerard Sullivan , Amal Ikhlassi , Kai Chang , Rui-Rui Du

The original motivation of great interest to topological insulators was the hope to observe the quantum spin Hall effect. Therefore if a material is in the topological insulator state they frequently call it the quantum spin Hall state.…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 E. B. Sonin

On the surface of 2D Topological insulators occur 1D quantum spin Hall(QSH) edge modes with Dirac like dispersion. Unlike quantum Hall(QH) edge modes which occur at high magnetic fields in 2DEGs, the occurrence of QSH edge modes is because…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 Arjun Mani , Colin Benjamin

We propose a scheme to realize time-reversal symmetry-broken quantum spin Hall insulators using bilayer honeycomb lattices, combining intrinsic spin-orbit coupling, C-type antiferromagnetic ordering, and staggered potentials. The C-type…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Lizhou Liu , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

We study the localization properties in coupled double quantum wells with an in-plane magnetic field. The localization length is directly calculated using a transfer matrix technique and finite size scaling analysis. We show that the system…

Condensed Matter · Physics 2009-10-30 D. Z. Liu , X. C. Xie
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