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Related papers: Quantum Spin Hall Effect

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The quantum Hall effect is usually observed when the two-dimensional electron gas is subjected to an external magnetic field, so that their quantum states form Landau levels. In this work we predict that a new phenomenon, the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chao-Xing Liu , Xiao-Liang Qi , Xi Dai , Zhong Fang , Shou-Cheng Zhang

The quantum Hall regime in a smooth random potential is considered when two disorder-broadened Zeeman levels overlap strongly. Spin-orbit coupling is found to cause a drastic change in the percolation network which leads to a strong…

Condensed Matter · Physics 2016-08-31 D. G. Polyakov , M. E. Raikh

In topological insulators, spin-orbit coupling and time-reversal symmetry combine to form a novel state of matter predicted to have exotic physical properties.

Materials Science · Physics 2010-01-12 Xiao-Liang Qi , Shou-Cheng Zhang

The quantum anomalous Hall effect is defined as a quantized Hall effect realized in a system without external magnetic field. Quantum anomalous Hall effect is a novel manifestation of topological structure in many-electron systems, and may…

Mesoscale and Nanoscale Physics · Physics 2015-08-31 Chao-Xing Liu , Shou-Cheng Zhang , Xiao-Liang Qi

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

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

The quantum spin Hall effect is conventionally thought to require a strong spin-orbit coupling, producing an effective spin-dependent magnetic field. However, spin currents can also be present without transport of spins, for example, in…

Mesoscale and Nanoscale Physics · Physics 2022-01-20 Tianqi Chen , Tim Byrnes

We predict a new class of quantum Hall phenomena in completely neutral systems, demonstrating that the interplay between radial electric fields and dipole moments induces exact $e^2/h$ quantization without the need for Landau levels or…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Carlos Magno O. Pereira , Edilberto O. Silva

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

The physics of the fractional quantum Hall effect is the physics of interacting electrons confined to a macroscopically degenerate Landau level. In this Chapter we discuss the theory of the quantum Hall effect in systems where the electrons…

Condensed Matter · Physics 2007-05-23 S. M. Girvin , A. H. MacDonald

Spin Hall Effect is relativistic quantum mechanical effect which enables non-magnetic materials show magnetic phenomena without the application of a magnetic field. With spin Hall Effect, one can realize spintronics devices operating purely…

Mesoscale and Nanoscale Physics · Physics 2017-08-11 Dhavala Suri , R. S. Patel

We study the properties of the "spin quantum Hall fluid" - a novel spin phase with quantized spin Hall conductance that is potentially realizable in superconducting systems with unconventional pairing symmetry. A simple realization is…

Superconductivity · Physics 2009-10-31 T. Senthil , J. B. Marston , Matthew P. A. Fisher

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

Quantum Gases · Physics 2014-02-18 O. Fialko , J. Brand , U. Zuelicke

We study the quantum Hall effect inside a gravitational field. First, we review the influence of the gravitational field of the Earth on the quantum Hall effect. Taking the gravitational field of the Earth to be uniform along the vertical…

General Relativity and Quantum Cosmology · Physics 2020-07-02 F. Hammad , A. Landry , K. Mathieu

We argue that a new type of quantum Hall state requiring non-perturbative Landau level mixing arises at low electron density. In these states, up and down spin electrons pair to form spinless bosons that condense into a bosonic quantum Hall…

Condensed Matter · Physics 2009-10-28 A. M. Tikofsky , S. A. Kivelson

Spin liquids are quantum phases of matter that exhibit a variety of novel features associated with their topological character. These include various forms of fractionalization - elementary excitations that behave as fractions of an…

Strongly Correlated Electrons · Physics 2020-01-20 C. Broholm , R. J. Cava , S. A. Kivelson , D. G. Nocera , M. R. Norman , T. Senthil

We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or…

Condensed Matter · Physics 2011-05-05 Shou-Cheng Zhang , Jiangping Hu

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

Recent theory predicted that the Quantum Spin Hall Effect, a fundamentally novel quantum state of matter that exists at zero external magnetic field, may be realized in HgTe/(Hg,Cd)Te quantum wells. We have fabricated such sample structures…

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