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2005
25 Years of Quantum Hall Effect (QHE) A Personal View on the Discovery, Physics and Applications of this Quantum Effect.- Physics in a Strong Magnetic Field.- The Quantum Hall Effect as an Electrical Resistance Standard.- to the Fractional Quantum Hall Effect.- Tunneling Experiments in the Fractional Quantum Hall Effect Regime.
Vincent Rivasseau +3 more
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25 Years of Quantum Hall Effect (QHE) A Personal View on the Discovery, Physics and Applications of this Quantum Effect.- Physics in a Strong Magnetic Field.- The Quantum Hall Effect as an Electrical Resistance Standard.- to the Fractional Quantum Hall Effect.- Tunneling Experiments in the Fractional Quantum Hall Effect Regime.
Vincent Rivasseau +3 more
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The Fractional Quantum Hall Effect
Science, 1990Recent research has uncovered a fascinating quantum liquid made up solely of electrons confined to a plane surface. Found only at temperatures near absolute zero and in extremely strong magnetic fields, this liquid can flow without friction. The excited states of this liquid consist of peculiar particle-like objects that carry an exact fraction of an ...
H. L. Stormer, J. P. Eisenstein
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AIP Conference Proceedings, 2012
The complete and the correct interpretation of all of the fractions found in the quantum Hall effect of AlGaAs/GaAs heterostructures is presented by use of a specific treatment of spin. Hence the flux quantization depends on spin and the Lande's g value expression is replaced by a formula which exhibits particle-hole symmetry.
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The complete and the correct interpretation of all of the fractions found in the quantum Hall effect of AlGaAs/GaAs heterostructures is presented by use of a specific treatment of spin. Hence the flux quantization depends on spin and the Lande's g value expression is replaced by a formula which exhibits particle-hole symmetry.
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Quantum Anomalous Hall Effect and Quantum Spin Hall Effect
2017A quantum anomalous Hall system possesses chiral edge states around its boundary, giving rise to quantized Hall conductance even in the absence of external magnetic field. Quantum spin Hall effect is a spin version of quantum Hall effect. A quantum spin Hall system possesses a pair of helical edge states, in which an electric current can induce a ...
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1988
A recent development in understanding the quantized Hall effect is reviewed with emphasis on effects of electron localization in strong magnetic fields. A brief description is also given of the ground state and the fractional quantum Hall effect.
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A recent development in understanding the quantized Hall effect is reviewed with emphasis on effects of electron localization in strong magnetic fields. A brief description is also given of the ground state and the fractional quantum Hall effect.
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Developments in the quantum Hall effect
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2005The most important applications of the quantum Hall effect (QHE) are in the field of metrology. The observed quantization of the resistance is primarily used for the reproduction of the SI unit ohm, but is also important for high precision measurements of both the fine structure constant and the Planck constant.
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Relativistic quantum Hall effect
Physical Review D, 1991Quantum electrodynamics in 2+1 dimensions (${\mathrm{QED}}_{2+1}$) at finite density and temperature is analyzed by reducing it to an effective (0+1)-dimensional theory. A realization of ${\mathrm{QED}}_{2+1}$ at finite density in the context of (planar) gapless semiconductors is suggested.
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1991
The quantum Hall effect [1] occurs in two-dimensional electronic systems (2 DES) [2] in strong perpendicular magnetic fields. It differs from many of the phenomena which are being discussed at this ASI in that it does not depend directly on quantum coherence for its occurrence. Quantum coherence plays an important supporting role rather that a starring
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The quantum Hall effect [1] occurs in two-dimensional electronic systems (2 DES) [2] in strong perpendicular magnetic fields. It differs from many of the phenomena which are being discussed at this ASI in that it does not depend directly on quantum coherence for its occurrence. Quantum coherence plays an important supporting role rather that a starring
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Scaling and the Quantum Hall Effect
Journal of Physics: Condensed Matter, 1989An introduction to the ideas of scaling theory is given and the description of the quantum Hall effect in terms of a 2-parameter scaling theory is considered, mainly by studying the results of numerical simulations. It is argued that the apparently contradictory results can be explained in terms of a modification of the flow diagram predicted by ...
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2019
A many-body electron system in two dimensions at high magnetic field hosts a diverse set of electron ground states. Perhaps the most famous class of these ground states are the integer quantum Hall states (IQHSs) and fractional quantum Hall states (FQHSs).
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A many-body electron system in two dimensions at high magnetic field hosts a diverse set of electron ground states. Perhaps the most famous class of these ground states are the integer quantum Hall states (IQHSs) and fractional quantum Hall states (FQHSs).
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