Journal Article10.1016/J.PHYSLETA.2007.06.055
Spin Hall Effect For Anyons
TL;DR: In this article, the intrinsic spin Hall effect from generic anyon dynamics in the presence of external electromagnetic field was analyzed and the free anyon was represented as a spinning particle with an underlying non-commutative configuration space.
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About: This article is published in Physics Letters A. The article was published on 26 Nov 2007. The article focuses on the topics: Anyon & Quantum spin Hall effect.
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Citations
Topics in Noncommutative Geometry Inspired Physics
TL;DR: In this paper, the authors discuss some of the applications of non-commutative geometry in physics that are of recent interest, such as non-computative many-body systems, non-Commutative extension of Special Theory of Relativity kinematics, twisted gauge theories and non-convex gravity.
117
Topics in Noncommutative Geometry Inspired Physics
TL;DR: In this paper, the authors discuss some of the applications of non-commutative geometry in physics that are of recent interest, such as non-computative many-body systems, non-Commutative extension of Special Theory of Relativity kinematics, twisted gauge theories and non-convex gravity.
114
The effect of inertia on the Dirac electron, the spin Hall current and the momentum space Berry curvature
Debashree Chowdhury,Banasri Basu +1 more
TL;DR: In this paper, the spin dependent force and the associated momentum space Berry curvature in an accelerating system were derived by taking into consideration the non-relativistic limit of a generally covariant Dirac equation with an electromagnetic field present.
26
A Noncommutative Space Approach to Confined Dirac Fermions in Graphene
Ömer F. Dayi,Ahmed Jellal +1 more
TL;DR: In this paper, a generalized algebra of non-commutative coordinates and momenta embracing non-Abelian gauge fields is proposed, and a Dirac-like Hamiltonian is introduced.
26
Spin dynamics with non-Abelian Berry gauge fields as a semiclassical constrained Hamiltonian system
TL;DR: In this article, a first-order Lagrangian involving gauge fields is studied as a constrained Hamiltonian system and a simple semiclassical formulation of the spin Hall effect is accomplished.
15
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TL;DR: This review describes a new paradigm of electronics based on the spin degree of freedom of the electron, which has the potential advantages of nonvolatility, increased data processing speed, decreased electric power consumption, and increased integration densities compared with conventional semiconductor devices.
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Quantal phase factors accompanying adiabatic changes
TL;DR: In this article, it was shown that the Aharonov-Bohm effect can be interpreted as a geometrical phase factor and a general formula for γ(C) was derived in terms of the spectrum and eigen states of the Hamiltonian over a surface spanning C.
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String theory and noncommutative geometry
Nathan Seiberg,Edward Witten +1 more
TL;DR: In this article, a non-zero B-field is introduced for string theory and the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and the corrections away from this limit are discussed.
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String Theory and Noncommutative Geometry
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TL;DR: In this paper, a non-zero B-field is introduced for string theory and the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and the corrections away from this limit are discussed.
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Observation of the spin Hall effect in semiconductors.
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