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The study of quantum Hall effect (QHE) is a foundation of topological physics, inspiring extensive explorations of its high-dimensional generalizations. Notably, the four dimensional (4D) QHE has been experimentally realized in synthetic…

Strongly Correlated Electrons · Physics 2026-02-11 Junwen Zhao , Xue Meng , Wei Zhu , Congjun Wu

Quantum materials combining magnetism and topological fermions are a key platform for low-energy electronics, spintronics, and quantum phases that break time-reversal symmetry (TRS), such as the quantum anomalous Hall effect (QAHE).…

Motivated by a mean-field approach, which has been employed for anyon superfluidity and the fractional quantum Hall effect, the quantum Hall effect (QHE) of hard-core bosons is investigated. It is shown that QHE is possible {\em only} in…

Condensed Matter · Physics 2015-06-25 J. K. Jain , Sumathi Rao

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

The quantum anomalous Hall effect (QAHE) is an exotic quantum phenomenon originating from dissipation-less chiral channels at the sample edge. While the QAHE has been observed in magnetically doped topological insulators (TIs), exploiting…

The quantum anomalous Hall effect (QAHE) that emerges under broken time-reversal symmetry in topological insulators (TI) exhibits many fascinating physical properties for potential applications in nano-electronics and spintronics. However,…

The quantum anomalous Hall (QAH) effect is a novel topological spintronic phenomenon arising from inherent magnetization and spin-orbit coupling. Various theoretical and experimental efforts have been devoted in search of robust intrinsic…

Computational Physics · Physics 2017-01-18 Chengxi Huang , Jian Zhou , Haiping Wu , Kaiming Deng , Puru Jena , Erjun Kan

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

A universal mechanism to generate chiral hinge states in the ferromagnetic axion insulator phase is proposed, which leads to an exotic transport phenomena, the quantum anomalous Hall effect (QAHE) on some particular surfaces determined by…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Changming Yue , Yuanfeng Xu , Zhida Song , Yuan-Ming Lu , Hongming Weng , Chen Fang , Xi Dai

Quantum spin Hall (QSH) insulators are materials that feature an insulating bulk and host edge states protected by time-reversal symmetry. The helical locking of spin and momentum in these states suppresses backscattering of charge…

The quantum spin Hall (QSH) state was recently demonstrated in monolayers of the transition metal dichalcogenide 1T'-WTe$_2$ and is characterized by a band gap in the two-dimensional (2D) interior and helical one-dimensional (1D) edge…

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

Electronic properties like current flow are generally independent of the electron's spin angular momentum, an internal degree of freedom present in quantum particles. The spin Hall effects (SHEs), first proposed 40 years ago, are an unusual…

Chiral edge modes inherent to the topological quantum anomalous Hall (QAH) effect are a pivotal topic of contemporary condensed matter research aiming at future quantum technology and application in spintronics. A large topological gap is…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 Suhua Jin , Yunyouyou Xia , Wujun Shi , Jiayu Hu , Ralph Claessen , Werner Hanke , Ronny Thomale , Gang Li

Quantum Spin Hall (QSH) insulators with a large topologically nontrivial bulk gap are crucial for future applications of the QSH effect. Among these, group III-V monolayers and their halides with chair structure (regular hexagonal…

Materials Science · Physics 2017-05-23 Linyang Li , Ortwin Leenaerts , Xiangru Kong , Xin Chen , Mingwen Zhao , François M. Peeters

Topologically nontrivial band structure of a material may give rise to special states that are confined to the material's boundary and protected against disorder and scattering. Quantum spin Hall effect (QSHE) is a paradigmatic example of…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Luis Alberto Razo López , Pierre Wulles , Geoffroy J. Aubry , Sergey E. Skipetrov , Fabrice Mortessagne

We demonstrate the formation of orbital and spin Hall effects (OHE/SHE) in the 1T phase of non-magnetic transition metal dichalcogenides. With the aid of density functional theory calculations and model Hamiltonian studies on MX$_2$ (M =…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Pratik Sahu , Jatin Kumar Bidika , Bubunu Biswal , S. Satpathy , B. R. K. Nanda

Quantum spin Hall (QSH) insulators possess edge states that are topologically protected from backscattering. However, known QSH materials (e.g. HgTe/CdTe and InAs/GaSb quantum wells) exhibit very small energy gap and only work at low…

Materials Science · Physics 2016-12-07 Liujiang Zhou , Wujun Shi , Yan Sun , Bin Shao , Claudia Felser , Binghai Yan , Thomas Frauenheim

Unconventional features of relativistic Dirac/Weyl quasi-particles in topological materials are most evidently manifested in the 2D quantum Hall effect (QHE), whose variety is further enriched by their spin and/or valley polarization.…

The substrate-induced topological phase transition of silience is a formidable obstacle for developing silicene-based materials and devices for compatibility with current electronics by using its topologically protected dissipationless edge…

Computational Physics · Physics 2018-02-05 Ke Yang , Wei-Qing Huang , Wangyu Hu , Gui-Fang Huang , Shuangchun Wen