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In ultra-thin film of topological insulator, the hybridization between the top and bottom surfaces opens an energy gap and forms two degenerate quantum anomalous Hall states, which give rise to a quantum spin Hall state. In this paper, we…

Strongly Correlated Electrons · Physics 2016-05-10 S. A. Owerre

The quantum spin hall (QSH) phase, also known as the 2D topological insulator, is characterized by protected helical edge modes arising from time reversal symmetry. While initially proposed for band insulators, this phase can also manifest…

Strongly Correlated Electrons · Physics 2024-03-26 Yixin Ma , Shenghan Jiang , Chao Xu

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

Mesoscale and Nanoscale Physics · Physics 2009-10-14 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

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

Formation of topological quantum phase on conventional semiconductor surface is of both scientific and technological interest. Here, we demonstrate epitaxial growth of 2D topological insulator, i.e. quantum spin Hall (QSH) state, on Si(111)…

Materials Science · Physics 2014-12-03 Miao Zhou , Wenmei Ming , Zheng Liu , Zhengfei Wang , Ping Li , Feng Liu

We consider the zero-filled quantum-Hall ferromagnetic state of bilayer graphene subject to a kink-like perpendicular electric field, which generates domain walls in the electronic state and low-energy collective modes confined to move…

Strongly Correlated Electrons · Physics 2015-06-17 Victoria Mazo , Chia-Wei Huang , Efrat Shimshoni , Sam T. Carr , H. A. Fertig

Based on first-principles calculations, we demonstrate that Co decorated silicene can host a quantum anomalous Hall state. The exchange field induced by the Co atoms combined with the strong spin orbit coupling of the silicene opens a…

Mesoscale and Nanoscale Physics · Physics 2014-01-10 T. P. Kaloni , N. Singh , U. Schwingenschlögl

Topological phases are characterised by a topological invariant that remains unchanged by deformations in the Hamiltonian. Materials exhibiting topological phases include topological insulators, superconductors exhibiting strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-07-08 Dimitrie Culcer , Attila Geresdi

Spins based in silicon provide one of the most promising architectures for quantum computing. Quantum dots are an inherently scalable technology. Here, we combine these two concepts into a workable design for a silicon-germanium quantum…

We study the phase diagram of a model quantum spin Hall system as a function of band inversion and band-coupling strength, demonstrating that when band hybridization is weak, an interaction-induced nematic insulator state emerges over a…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Fei Xue , Allan H. MacDonald

We investigate the ground state of a balanced electron-hole system in the quantum Hall regime using mean-field theory and obtain a rich phase diagram as a function of interlayer distance d and the filling factor within a layer. We identify…

Mesoscale and Nanoscale Physics · Physics 2007-12-03 C. -H. Zhang , Yogesh N. Joglekar

We predict that twisted bilayers of 1T-ZrS$_2$ realize a novel and tunable platform to engineer two-dimensional topological quantum phases dominated by strong spin-orbit interactions. At small twist angles, ZrS$_2$ heterostructures give…

Strongly Correlated Electrons · Physics 2022-08-30 Martin Claassen , Lede Xian , Dante M. Kennes , Angel Rubio

Topological phases of matter are commonly understood as emerging either from crystalline symmetry and intrinsic spin-orbit coupling or from disorder-driven electronic renormalization. In realistic materials, however, structural defects…

Materials Science · Physics 2026-03-19 Emmanuel V. C. Lopes , Felipe Crasto de Lima , Caio Lewenkopf , Adalberto Fazzio

In this paper, starting from a lattice model of topological insulators, we study the quantum phase transitions among different quantum states, including quantum spin Hall state, quantum anomalous Hall state and normal band insulator state…

Strongly Correlated Electrons · Physics 2010-01-22 Lan-Feng Liu , Su-Peng Kou

A quantum spin liquid (QSL) is an exotic insulating phase with emergent gauge fields and fractionalized excitations. However, the unambiguous demonstration of the existence of a QSL in a "non-engineered" microscopic model (or in any…

Strongly Correlated Electrons · Physics 2025-10-01 Xun Cai , Zhaoyu Han , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

The possibility of realizing topological insulators by spontaneous formation of electronic superstructure is theoretically investigated in a minimal two-orbital model including both the spin-orbit coupling and electron correlations on a…

Strongly Correlated Electrons · Physics 2016-06-21 Yusuke Sugita , Yukitoshi Motome

Electronic spins in Silicon (Si) are rising contenders for qubits -- the logical unit of quantum computation-- owing to its outstanding spin coherence properties and compatibility to standard electronics. A remarkable limitation for spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Lijun Zhang , Jun-Wei Luo , A. L. Saraiva , Belita Koiller , Alex Zunger

The realization of a topological qubit calls for advanced techniques to readily and reproducibly engineer induced superconductivity in semiconductor nanowires. Here, we introduce an on-chip fabrication paradigm based on shadow walls that…

Transition metal dichalcogenide (TMD) materials are unique in the wide variety of structural and electronic phases they exhibit in the two-dimensional (2D) single-layer limit. Here we show how such polymorphic flexibility can be used to…

The co-integration of spin, superconducting, and topological systems is emerging as an exciting pathway for scalable and high-fidelity quantum information technology. High-mobility planar germanium is a front-runner semiconductor for…