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Quantum Hall (QH) and quantum spin Hall (QSH) phases have very different edge states and, when going from one phase to the other, the direction of one edge state must be reversed. We study this phenomena in graphene in presence of a strong…

Mesoscale and Nanoscale Physics · Physics 2012-07-20 Oleksii Shevtsov , Pierre Carmier , Cyril Petitjean , Christoph Groth , David Carpentier , Xavier Waintal

A promising approach to attain long-distance coherent spin propagation is accessing topological spin-polarized edge states in graphene. Achieving this without external magnetic fields necessitates engineering graphene band structure,…

Twisted bilayer graphene offers a unique bilayer two-dimensional-electron system where the layer separation is only in sub-nanometer scale. Unlike Bernal-stacked bilayer, the layer degree of freedom is disentangled from spin and valley,…

The quantum Hall (QH) effect, the quantum spin Hall (QSH) effect and the quantum valley Hall (QVH) effect are three peculiar topological insulating phases in graphene. They are characterized by three different types of edge states. These…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yu-Chen Zhuang , Qing-Feng Sun

Conventional topological classification theory dictates that time-reversal symmetry confines the quantum spin Hall (QSH) effect to a $\mathbb{Z}_2$ classification, permitting only a single pair of gapless helical edge states. Here, we…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Zhiyu Chen , Fangyang Zhan , Zheng Qin , Da-Shuai Ma , Dong-Hui Xu , Rui Wang

The quantum spin Hall (QSH) effect, characterized by topologically protected spin-polarized edge states, was recently demonstrated in monolayers of the transition metal dichalcogenide (TMD) WTe$_2$. However, the robustness of this…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Felix Lüpke , Dacen Waters , Anh D. Pham , Jiaqiang Yan , David G. Mandrus , Panchapakesan Ganesh , Benjamin M. Hunt

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

The experimentally observed correlated insulating states and quantum anomalous Hall (QAH) effect in twisted bilayer graphene (TBG) have drawn significant attention. However, up to date, the specific mechanisms of these intriguing phenomena…

Strongly Correlated Electrons · Physics 2021-01-27 Jianpeng Liu , Xi Dai

The quantum spin Hall (QSH) effect is known to be unstable to perturbations violating time-reversal symmetry. We show that creating a narrow ferromagnetic (FM) region near the edge of a QSH sample can push one of the counterpropagating edge…

Mesoscale and Nanoscale Physics · Physics 2013-07-16 Huichao Li , L. Sheng , R. Shen , L. B. Shao , Baigeng Wang , D. N. Sheng , D. Y. Xing

Effects of electron correlations on a two dimensional quantum spin Hall (QSH) system are studied. We examine possible phases of a generalized Hubbard model on a bilayer honeycomb lattice with a spin-orbit coupling and short range…

Strongly Correlated Electrons · Physics 2008-09-15 Michael W. Young , Sung-Sik Lee , Catherine Kallin

We investigate topological phases of bilayer graphene subject to antiferromagnetic exchange field, interlayer bias, and irradiated by light. We discover that at finite bias and light intensity the system transitions into a previously…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Xuechao Zhai , Yaroslav M. Blanter

Bilayer graphene, in the presence of a one-sided spin-orbit interaction (SOI) induced by a suitably chosen substrate, is predicted to exhibit unconventional Quantum Hall states. The new states arise due to strong SOI-induced splittings of…

Mesoscale and Nanoscale Physics · Physics 2018-12-07 Jun Yong Khoo , Leonid Levitov

Quantum spin Hall (QSH) state of matter has a charge excitation bulk bandgap and a pair of gapless spin-filtered edge-states, which can support backscattering-free transport. Bilayer phosphorene possesses a large tunable bandgap and high…

Materials Science · Physics 2015-02-09 Tian Zhang , Jia-He Lin , Yan-Mei Yu , Xiang-Rong Chen , Wu-Ming Liu

The most celebrated property of the quantum spin Hall effect is the presence of spin-polarized counter-propagating edge states. This novel edge state configuration has also been predicted to occur in graphene when spin-split electron- and…

Mesoscale and Nanoscale Physics · Physics 2013-02-19 Patrick Maher , Cory R. Dean , Andrea F. Young , Takashi Taniguchi , Kenji Watanabe , Kenneth L. Shepard , James Hone , Philip Kim

Graphene is the first model system of two-dimensional topological insulator (TI), also known as quantum spin Hall (QSH) insulator. The QSH effect in graphene, however, has eluded direct experimental detection because of its extremely small…

Mesoscale and Nanoscale Physics · Physics 2019-04-12 Liangzhi Kou , Feiming Hu , Binghai Yan , Tim Wehling , Claudia Felser , Thomas Frauenheim , Changfeng Chen

We have a comparative study of the quantum spin Hall (QSH) effects induced by non-magnetic and magnetic staggered potentials respectively and show that they have the same effect in driving the topological phase transition. The result…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Huaiming Guo , Shiping Feng , Shun-Qing Shen

The rich phase diagram of quantum spin-ladder systems has attracted much attention in the theoretical literature. The progress in experimental realisations of this fascinating physics however has been much slower. While materials with a…

Mesoscale and Nanoscale Physics · Physics 2015-11-05 Victoria Mazo , Chia-Wei Huang , Efrat Shimshoni , Sam T. Carr , H. A. Fertig

We theoretically study the correlated insulator states, quantum anomalous Hall (QAH) states, and field-induced topological transitions between different correlated states in twisted multilayer graphene systems. Taking twisted…

Mesoscale and Nanoscale Physics · Physics 2022-06-02 Shihao Zhang , Xi Dai , Jianpeng Liu

It is a conventional wisdom that the helical edge states of quantum spin Hall (QSH) insulator are particularly stable due to the topological protection of time-reversal symmetry. Here, we report the first experimental observation of an…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Huanhuan Yang , Lingling Song , Yunshan Cao , X. R. Wang , Peng Yan

Using the non-equilibrium Green\noindent 's function method and the Keldysh formalism, we study the effects of spin-orbit interactions and time-reversal symmetry breaking exchange fields on non-equilibrium quantum transport in graphene…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Nezhat Pournaghavi , Cecilia Holmqvist , Anna Pertsova , Carlo Canali
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