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Journal of Geometry and Physics, 1984
The result of \textit{D. J. Thouless, M. Kohmoto, M. P. Nightingale} and \textit{M. Den Nijs} [Phys. Rev. Lett. 49, 405-408 (1982)] for a quantized Hall conductance in a two dimensional periodic potential and homogeneous magnetic field perpendicular to the plane for which Kubo's expression for conductivity of the Hall current is an integer, is ...
Joseph E. Avron, Ruedi Seiler
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The result of \textit{D. J. Thouless, M. Kohmoto, M. P. Nightingale} and \textit{M. Den Nijs} [Phys. Rev. Lett. 49, 405-408 (1982)] for a quantized Hall conductance in a two dimensional periodic potential and homogeneous magnetic field perpendicular to the plane for which Kubo's expression for conductivity of the Hall current is an integer, is ...
Joseph E. Avron, Ruedi Seiler
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Physica B+C, 1983
Basically, the quantum Hall effect (QHE) has nothing to do with atomic physics. Semiconductors are normally used to observe this quantum phenomenon, and the 1023 atoms per cubic centimeter of a semiconductor represent such a complicated system of interacting atoms that its electronic properties are normally described by phenomenological quantities and ...
Klaus von Klitzing, Günther Ebert
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Basically, the quantum Hall effect (QHE) has nothing to do with atomic physics. Semiconductors are normally used to observe this quantum phenomenon, and the 1023 atoms per cubic centimeter of a semiconductor represent such a complicated system of interacting atoms that its electronic properties are normally described by phenomenological quantities and ...
Klaus von Klitzing, Günther Ebert
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International Journal of Theoretical Physics, 1998
1The gap equation for the electron self-energy function is considered in the framework of (2 1 1)-dimensional quantum electrodynamics. The filling factor n for the quantum Hall effect is related to a free parameter l by considering the development of the gap equation.
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1The gap equation for the electron self-energy function is considered in the framework of (2 1 1)-dimensional quantum electrodynamics. The filling factor n for the quantum Hall effect is related to a free parameter l by considering the development of the gap equation.
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The Quantum Hall and Fractional Quantum Hall Effects [PDF]
, 1992 The range of phenomena observed in electronic systems in magnetic fields is large and spectacular. Perhaps most spectacular of all are the quantum Hall effect (QHE) and fractional quantum Hall effect. This chapter is concerned with the theoretical description of these phenomena.
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2015
We review the basics of the integer quantum Hall effect and the fractional quantum Hall effect. We furthermore discuss the fractional quantum Hall states in the second Landau level and their properties.
Stephan Baer, Klaus Ensslin
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We review the basics of the integer quantum Hall effect and the fractional quantum Hall effect. We furthermore discuss the fractional quantum Hall states in the second Landau level and their properties.
Stephan Baer, Klaus Ensslin
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2018
Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Martí Pi ...
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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Martí Pi ...
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The discovery of the quantum hall effect
Metrologia, 1986The roots of the quantum Hall effect can be traced back about 30 years, when the idea of a two-dimensional electron gas was first introduced. Progress in the generation of high magnetic fields together with advances in semiconductor technology eventually made the discovery possible which was not predicted by theory.
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Physical Review B, 1989
Calculations of the Hall resistance of quasi-one-dimensional electron systems on a GaAs/${\mathrm{Al}}_{\mathrm{x}}$${\mathrm{Ga}}_{1\mathrm{\ensuremath{-}}\mathrm{x}}$As heterointerface are performed. It is shown in a weak-link model of Hall probes that the Hall resistance strongly depends on the way the total current is divided among subbands.
Tsuneya Ando, Hiroshi Akera
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Calculations of the Hall resistance of quasi-one-dimensional electron systems on a GaAs/${\mathrm{Al}}_{\mathrm{x}}$${\mathrm{Ga}}_{1\mathrm{\ensuremath{-}}\mathrm{x}}$As heterointerface are performed. It is shown in a weak-link model of Hall probes that the Hall resistance strongly depends on the way the total current is divided among subbands.
Tsuneya Ando, Hiroshi Akera
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The Fractional Quantum Hall Effect
Reviews of Modern Physics, 1999Two-dimensional electron systems in a high magnetic field behave very strangely. They exhibit rational fractional quantum numbers and contain exactly fractionally charged particles. Electrons seem to absorb magnetic flux quanta, altering their statistics and consuming the magnetic field. They condense into a manifold of novel ground states of boson and
Arthur C. Gossard +3 more
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Anisotropic quantum Hall effect
Physical Review B, 1993A discussion of the transport properties of anisotropic Hall samples is presented. Such anisotropic samples can now be made by modulation-doped overgrowth on the cleaved edge of an ${\mathrm{Al}}_{\mathit{x}}$${\mathrm{Ga}}_{1\mathrm{\ensuremath{-}}\mathit{x}}$As compositional superlattice.
G. T. Einevoll, C.A. Lütken
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