The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid

Quantum Hall
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Experimental demonstration of a Fermi surface at one-half filling of the lowest Landau level - Willett, R. How real are composite fermions? Detection of composite fermions by magnetic focusing - Goldman, V.

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A note contrasting two microscopic theories of the fractional quantum Hall effect - Jain, Jainendra K. Indian J.

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Theory of the quantized Hall conductance - Halperin, B. Acta 56 Is the Composite Fermion a Dirac Particle? X5 no. Theory of the half filled Landau level - Halperin, Bertrand I. B44 B43 Response functions and spectrum collective excitations of fractional quantum Hall effect systems - Lopez, Ana et al. Finite temperature fractional quantum Hall effect - Zhang, L.

Publications

B51 An effective field theory model for the fractional quantum hall effect - Zhang, S. B84 arXiv Field Theories of Condensed Matter Physics - The Hall conductivity that has been obtained in Ref appears to be formally identical to our result, but a close inspection of the discussed examples reveals that therein the Hall conductivities of the composite fermions are integer quantized as opposed to the half-integer quantized values that enter our formula This fact is a consequence of the flux attachment to the physical electrons measured from the bottom of the lowest Landau level.

Electronic properties of disordered two-dimensional carbon - Peres, N. B73 Field Theory of Non-Equilibrium Systems - Quantum Theory of Nonequilibrium Processes. Annals Phys.

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The experimental discovery of the fractional quantum Hall effect (FQHE) at the end of by Tsui, Stormer Properties of an Incompressible Quantum Fluid. The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid. Article (PDF Available) in Physics Today 43(3) · January.

Quantum Many-Particle Systems - Boulder, Colorado: Westview Press. An Introduction to Quantum Field Theory - Additionally, one obtains a similar equation for the first variational derivative with respect to the classical components of the gauge fields Such equations, however, would be trivial, since their solutions for the quantum components of the gauge fields are constrained to vanish.

Note that the magnetic field in the Zeeman term is not affected by the statistical magnetic field. That means the Keldysh components can be parametrized by the respective retarded and advanced components as. We have to mention here that interactions may nevertheless lead to interesting observable consequences in the realm of the integer quantum Hall effect A possible scenario is a degeneracy breaking of certain, if not all noninteracting Landau levels of the multicomponent quantum Hall system The lifted degeneracy, in turn, would lead to the formation of additional plateaus in the Hall spectrum This kind of interaction effect clearly has to be distinguished from the fractional quantum Hall effect, as the underlying physical mechanisms for both phenomena vastly differ We do not consider interaction effects of this kind in the present paper, and refer to Refs and references therein for a more elaborate discussion see also Refs.

To be exact, the Fadeev-Popov determinant can be absorbed into the normalization constant only, if it does not depend on the gauge field itself This is not always the case, specifically in non-Abelian gauge theories, or if the gauge fixing function contains powers of the gauge field larger than or equal to two In that case, the Fadeev-Popov determinant leads to an additional contribution to the action known as Fadeev-Popov ghosts In the present paper, however, we are dealing with an Abelian gauge theory and consider linear gauge fixing functions only, such that the above mentioned problems are avoided.

Keldysh approach to the renormalization group analysis of the disordered electron liquid - Schwiete, G. B89 no. Sigrist, D. Bailey and R. Poilblanc and R. B , Bedell, Z.

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Wang, D. Maltzer, A. Balatsky and E. Abrahams Addison-Wesley, Reading, Massachusetts, , p. Tikofsky and R. Levy and R. B 50 , Beasley, D. Lew and R. B 49 , Das and J. Mahanty World Scientific, Singapore, , p. Tikofsky, S. Libby and R.

F. Duncan M. Haldane on "Fractional Quantum Hall Effect in Flat Bands"

B [FS], B 48 , Lawrence, A. Tikofsky, R.

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Laughlin and Z. Dai, J. Levy, A. Fetter, C. Hanna and R. B 46 , Zou, J. B 45 , B 5 , Libby, Z. Zou and R. Hanna, R. Laughlin and A. B 43 , B 42 , B 40 , Kamimura and A. Oshiyama Springer, Heidelberg, , p. NY , Kalmeyer and R. B 39 , Wilzcek World Scientific, Singapore, , p.

Laughlin and C. Wolf and V. Kresin Plenum, New York, , p. B, Suppl. Howell et al. B 35 , Prange and S. Girvin Springer, New York, , p. Hanna, E.

From Wikipedia, the free encyclopedia

Retrieved Effects of Landau level mixing on the fractional quantum Hall effect in monolayer graphene. First measurements in this magnetic field region on silicon field-effect transistors were not successful because the disorder in these devices was so large that all electrons in the lowest Landau level were localized. Emergent chiral spin liquid: fractional quantum Hall effect in a kagome Heisenberg model. Braiding non-Abelian quasiholes in fractional quantum Hall states. ST Phys. The engaged picture was back related on this purification.

Hellman and R.