Quantum Hall Effect

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Jainendra K. Jain - One of the best experts on this subject based on the ideXlab platform.

  • phase diagram of the two component fractional Quantum Hall Effect
    Physical Review Letters, 2013
    Co-Authors: Alexander C Archer, Jainendra K. Jain
    Abstract:

    We calculate the phase diagram of the two component fractional Quantum Hall Effect as a function of the spin or valley Zeeman energy and the filling factor, which reveals new phase transitions and phase boundaries spanning many fractional plateaus. This phase diagram is relevant to the fractional Quantum Hall Effect in graphene and in GaAs and AlAs Quantum wells, when either the spin or valley degree of freedom is active.

  • fractional Quantum Hall Effect in graphene
    Physical Review B, 2006
    Co-Authors: Csaba Tőke, Paul E Lammert, Vincent H Crespi, Jainendra K. Jain
    Abstract:

    Unlike regular electron spin, the pseudospin degeneracy of Fermi points in graphene does not couple directly to magnetic field. Therefore graphene provides a natural vehicle to observe the integral and fractional Quantum Hall physics in an elusive limit analogous to zero Zeeman splitting in GaAs systems. This limit can exhibit new integral plateaus arising from interactions, large pseudoskyrmions, fractional sequences, even/odd numerator Effects, composite-fermion pseudoskyrmions, and a pseudospin-singlet composite-fermion Fermi sea. It is stressed that the Dirac nature of the $B=0$ spectrum, which induces qualitative changes in the overall spectrum, has no bearing on the fractional Quantum Hall Effect in the $n=0$ Landau level of graphene. The second Landau level of graphene is predicted to show more robust fractional Quantum Hall Effect than the second Landau level of GaAs.

  • Quantum Hall Effect OF HARD CORE BOSONS
    Modern Physics Letters B, 1995
    Co-Authors: Jainendra K. Jain, Sumathi Rao
    Abstract:

    Motivated by a mean field approach, which has been employed for anyon superfluidity and the fractional Quantum Hall Effect, the Quantum Hall Effect (QHE) of hard core bosons is investigated. It is shown that QHE is possible only in the thermodynamic limit. The filling factors where QHE may be expected are obtained with the help of two adiabatic schemes.

Michelle Y. Simmons - One of the best experts on this subject based on the ideXlab platform.

  • Induced currents, frozen charges and the Quantum Hall Effect breakdown
    Solid State Communications, 2005
    Co-Authors: K. V. Kavokin, Mikhail E. Portnoi, A. J. Matthews, Alan Usher, J. D. Gething, David A. Ritchie, Michelle Y. Simmons
    Abstract:

    Puzzling results obtained from torque magnetometry in the Quantum Hall Effect regime are presented, and a theory is proposed for their explanation. Magnetic moment saturation, which is usually attributed to the Quantum Hall Effect breakdown, is shown to be related to the charge redistribution across the sample.

Hideo Aoki - One of the best experts on this subject based on the ideXlab platform.

  • Integer Quantum Hall Effect
    Comprehensive Semiconductor Science and Technology, 2011
    Co-Authors: Hideo Aoki
    Abstract:

    Integer Quantum Hall Effect, which is the Hall Effect quantized into integer times e2/h (e: elementary charge, h: Planck’s constant) observed in two-dimensional electron gases in strong magnetic fields, is reviewed from both experimental and theoretical standpoints. Basic physics underlying the phenomenon is explained, along with diverse aspects such as the Quantum Hall Effect as the resistance standard. Perspective is also given for recent advances in the Quantum Hall Effect in oxides, narrow-gap semiconductors and graphene, as well as a spinoff in physics to anomalous Hall Effect and spin Hall Effect. A relation with the fractional Quantum Hall Effect is also touched upon.

  • Bulk Quantum Hall Effect in η-Mo4O11
    Synthetic Metals, 1999
    Co-Authors: Stephen Hill, Hideo Aoki, James S. Brooks, S. Uji, M. Takashita, Chieko Terakura, Takahito Terashima, Z. Fisk, J. L. Sarrao
    Abstract:

    Abstract We have observed a Quantum Hall Effect in the bulk quasi-two-dimensional conductor η-Mo 4 -O 11 . The Hall resistance exhibits well defined plateaux, coincident with pronounced minima in the diagonal resistance. We present data for several different samples and contact geometries, and discuss a possible mechanism for the Quantum Hall Effect in this system. We also discuss the implications of these findings in the light of recent predictions concerning chiral metallic surface states in bulk Quantum Hall systems.

K. V. Kavokin - One of the best experts on this subject based on the ideXlab platform.

  • Induced currents, frozen charges and the Quantum Hall Effect breakdown
    Solid State Communications, 2005
    Co-Authors: K. V. Kavokin, Mikhail E. Portnoi, A. J. Matthews, Alan Usher, J. D. Gething, David A. Ritchie, Michelle Y. Simmons
    Abstract:

    Puzzling results obtained from torque magnetometry in the Quantum Hall Effect regime are presented, and a theory is proposed for their explanation. Magnetic moment saturation, which is usually attributed to the Quantum Hall Effect breakdown, is shown to be related to the charge redistribution across the sample.

Steven Girvin - One of the best experts on this subject based on the ideXlab platform.

  • Introduction to the Theory of the Integer Quantum Hall Effect
    Physics Today, 1995
    Co-Authors: Martin Janssen, O. Viehweger, U. Fastenrath, J. Hajdu, Steven Girvin
    Abstract:

    Part 1 Introduction - Basic Facts: The Integer Quantum Hall Effect Classical Dynamics Quantizing Magnetic Fields The Eigenvalue Problem The Landau Model Models of Confinement Bloch Representation Disorder Broadening. Part 2 Quantum Hall Effect for Pedestrians - High Field Model: Confined Cylinder Model Spectral Conditions for the Quantum Hall Effect Systems with Contacts Robustness of the Quantum Hall Effect. Part 3 Linear Response Isothermal Susceptibilities: Dynamic Susceptibilities Conductivity Tensor Spectral Decomposition Conductivitie in Spectral Decomposition Hall Conductivity in Terms of the Center Coordinates - Multi-Probe Systems Conductance and Geometry Problems in Magnetotransport Calculations. Part 3 Phenomenology of Global Conductivities - Quantum Langevin Equation: Mori Theory Localization Criteria Hall Plateaus and Mobility Edges Finite Temperatures. Part 4 Localization in High Landau Bands - Quantum Corrections to the Conductivity: Quantum Wires Weak Localization Regime in the Quantum Hall Effect Localization in the Tails of High Landau Bands. Part 5 Averaging Green Functions - Gaussian Path Integrals: Supersymmetry Method Replica Tyick The Instanton Free Energy. Part 6 Localization in the Lowest Landau Band Density of States: Improved Perturbation Methods Inverse Participation Number Instanton Method - Density of States Localization in Band Tails.