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Twisted bilayer graphene aligned with hexagonal boron nitride (TBG/hBN) hosts rich topological and correlated quantum phases, such as (fractional) Chern insulators, whose character is dictated by the topology of the moir\'{e} flat band.…

Strongly Correlated Electrons · Physics 2026-05-01 Huiwen Wang , Wei Jiang

Two-dimensional higher-order topology is usually studied in (nearly) particle-hole symmetric models, so that an edge gap can be opened within the bulk one. But more often deviates the edge anticrossing even into the bulk, where corner…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Junjie Zeng , Chen Chen , Yafei Ren , Zheng Liu , Wei Ren , Zhenhua Qiao

Here we provide a picture of transport in quantum well heterostructures with a periodic driving field in terms of a probabilistic occupation of the topologically protected edge states in the system. This is done by generalizing methods from…

Strongly Correlated Electrons · Physics 2015-09-16 Aaron Farrell , T. Pereg-Barnea

We experimentally investigate spin-polarized electron transport between two ferromagnetic contacts, placed at the edge of a two-dimensional electron system with band inversion. The system is realized in a narrow (8~nm) HgTe quantum well,…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 A. Kononov , S. V. Egorov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , E. V. Deviatov

The results of the longitudinal and Hall magnetoresistivity measurements in the Shubnikov - de Haas oscillation regime for the HgCdTe/HgTe/HgCdTe heterostructures with a wide (20.3 nm) HgTe quantum well are presented. An anomalous phase…

A two-dimensional (2D) topological insulator (TI) exhibits the quantum spin Hall (QSH) effect, in which topologically protected spin-polarized conducting channels exist at the sample edges. Experimental signatures of the QSH effect have…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Yanmeng Shi , Joshua Kahn , Ben Niu , Zaiyao Fei , Bosong Sun , Xinghan Cai , Brian A. Francisco , Di Wu , Zhi-Xun Shen , Xiaodong Xu , David H. Cobden , Yong-Tao Cui

We have studied the evolution of the topological properties of a band-engineered AB-stacked bilayer honeycomb structure in the presence of a Haldane flux. Without a Haldane flux, band engineering makes the band touching points (the…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Sayan Mondal , Saurabh Basu

Although, the long-standing debate on the resistivity anomaly in ZrTe$_{5}$ somewhat comes to an end, the exact topological nature of the electronic band structure remains elusive till today. Theoretical calculations predicted that bulk…

Materials Science · Physics 2017-01-10 Arnab Pariari , Prabhat Mandal

We systematically explore the ground-state phase diagram of the Kane-Mele-Kondo lattice model on the honeycomb lattice, in particular, we focus on its magnetic properties which has not been studied in the previous publication[Feng, Dai,…

Strongly Correlated Electrons · Physics 2013-12-16 Yin Zhong , Yu-Feng Wang , Han-Tao Lu , Hong-Gang Luo

Emergence of multiple topological phases with a series of Chern numbers, $\pm 1$, $\mp 1$, $\pm 2$, $\mp 2$, $\pm 3$ and $\mp 4$, are observed in a ferromagnetic Kitaev-Heisenberg-spin-anisotropic model on honeycomb lattice with further…

Mesoscale and Nanoscale Physics · Physics 2020-01-06 Moumita Deb , Asim Kumar Ghosh

The three-dimensional topological insulator (originally called "topological insulators") is the first example in nature of a topologically ordered electronic phase existing in three dimensions that cannot be reduced to multiple copies of…

Mesoscale and Nanoscale Physics · Physics 2011-05-03 M. Zahid Hasan , David Hsieh , Yuqi Xia , L. Andrew Wray , Su-Yang Xu , Charles L. Kane

The topological states of the two-leg and three-leg ladders formed by two trivial quantum wires with different lattice constants are theoretically investigated. Firstly, we take two trivial quantum wires with a lattice constant ratio of 1:2…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 Jing-Run Lin , Linxi Lv , Zheng-Wei Zuo

In this work, we develop a systematical approach of constructing and classifying the model Hamiltonians for two-dimensional (2D) higher-order topological phase with corner zero energy states (CZESs). Our approach is based on the direct…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Xun-Jiang Luo , Xiao-Hong Pan , Chao-Xing Liu , Xin Liu

We prove that the Kane-Mele-Hubbard model with purely imaginary next-nearest-neighbor hoppings has a particle-hole symmetry at half-filling. Such a symmetry has interesting consequences including the absence of charge and spin currents…

Strongly Correlated Electrons · Physics 2015-03-17 Dong Zheng , Guang-Ming Zhang , Congjun Wu

We investigate the interplay between the strong correlation and the spin-orbital coupling in the Kane-Mele-Hubbard model and obtain the qualitative phase diagram via the variational cluster approach. We identify, through an increase of the…

Strongly Correlated Electrons · Physics 2011-06-30 Shun-Li Yu , X. C. Xie , Jian-Xin Li

The effects of Hubbard-type on-site interactions on the BHZ model is studied in this paper for model parameters appropriate for the HgTe/CdTe quantum well. Within a simple mean field theory we search for plausible magnetic instabilities in…

Strongly Correlated Electrons · Physics 2017-03-22 Zewei Chen , Tai Kai Ng

In a topological semimetal with Dirac or Weyl points, the bulk edge correspondence principle predicts a gapless edge mode if the essential symmetry is still preserved at the surface. The detection of such topological surface state has been…

We address the co-existence of massless and massive topological edge states at the interface between two materials with different topological phases. We modify the well known Bernevig-Hughes-Zhang model to introduce a smooth function…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Tineke L. van den Berg , M. Reyes Calvo , Dario Bercioux

The discovery of three-dimensional (3D) topological insulators opens a gateway to generate unusual phases and particles made of the helical surface electrons, proposing new applications using unusual spin nature. Demonstration of the…

Mesoscale and Nanoscale Physics · Physics 2014-04-04 Seung Sae Hong , Yi Zhang , Judy J. Cha , Xiao-Liang Qi , Yi Cui

We study a class of Abelian quantum Hall (QH) states which are topologically unstable (T-unstable). We find that the T-unstable QH states can have a phase transition on the edge which causes a binding between electrons and reduces the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hsien-chung Kao , Chia-Hung Chang , Xiao-Gang Wen
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