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The Fractional Quantum Hall Effect

The Triggering Role of Carrier Mobility in the Fractional Quantum Hall Effect Formation—An Evidence in Graphene

The Triggering Role of Carrier Mobility in the Fractional Quantum Hall Effect Formation—An Evidence in Graphene

... the fractional quantum Hall effect (FQHE) in graphene has been observed at a low carrier density where the interaction is reduced as a result of particles ...

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Homotopy Approach to Fractional  Quantum Hall Effect

Homotopy Approach to Fractional Quantum Hall Effect

... Aharonov-Bohm effect, these flux-tubes, of q − 1 flux quanta each, attached to particles produce the required by the LF phase shift when the composite particles ...LLL fractional fillings obtained by ...

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Adiabatic transport in the fractional quantum Hall effect regime

Adiabatic transport in the fractional quantum Hall effect regime

... The rcduction of inler-cdge channel scattering in strong magnetic fields leads to deviations from local equilibrium (i.e. the current is not cquipartitioned among the cdgc channels). Ide[r] ...

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Single-electron tunneling in the fractional quantum Hall effect-regime

Single-electron tunneling in the fractional quantum Hall effect-regime

... A reccnt mean hcld approach to thc fraction il quantum Hall effect (QHE) is rcvicwed with a specidl emphasis on the applicition to smgle electron tunnthng through a quantum dot in a high[r] ...

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Spin Polarization of Fractional Quantum Hall States with ν

Spin Polarization of Fractional Quantum Hall States with ν

... a fractional quantum Hall state shows very interesting ...The fractional quantum Hall effect is caused by the Coulomb interaction because the 2D electron system without ...

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Fractional Quantum Hall States for Filling Factors 2/3 ν

Fractional Quantum Hall States for Filling Factors 2/3 ν

... Fractional quantum Hall effect (FQHE) is investigated by employing normal electrons and the fundamental Hamiltonian without any quasi ...any fractional filling ...

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Precise coincidence of effective potentials in the integral and fractional quantum Hall effects

Precise coincidence of effective potentials in the integral and fractional quantum Hall effects

... noninteracting quantum electron gas in an external magnetic field for any temperature and ...the quantum state with filling factor ν = 1, associated with the integral quantum Hall ...

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Proposal on Tunneling Effect between Quantum Hall States

Proposal on Tunneling Effect between Quantum Hall States

... The present author has developed a theory based on the electron pair to explain the fractional quantum Hall effect [15-21]. The Coulomb interaction acts between electron pair and depends upon ...

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Anomalous Viscosity of Vortex Hall States in Graphene

Anomalous Viscosity of Vortex Hall States in Graphene

... Keywords Euler Hydrodynamics, Quantum Hall Fluid, Vortex Dynamics, Fractional Quantum Hall Effect, Anomalous Viscosity, Hall Expansion Coefficient.. Introduction Graphene is a monolayer [r] ...

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Integer and fractional quantum hall effects in lattice magnets

Integer and fractional quantum hall effects in lattice magnets

... the quantum numbers connected to the topological invariant of the sys- tem are insensitive to microscopic details, and the physical properties associated to these quantum numbers are uniquely ...the ...

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Effective potentials in the integral quantum Hall effect

Effective potentials in the integral quantum Hall effect

... noninteracting quantum elec- tron gas in an external magnetic field for any temperature and ...the quantum state with filling factor ␯⫽ 1, associated with the integral quantum Hall ...

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Focus on topological quantum computation

Focus on topological quantum computation

... Ettingshausen effect experiments [17] or quantum point contact tunnelling experiments [18]) that might establish the existence of Majorana modes in these ...the fractional quantum Hall ...

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The quantum Hall effect : spin-charge locking

The quantum Hall effect : spin-charge locking

... “fractional quantum Hall effect” ...the fractional values but Laughlin [3] used incompressibility in the flux quantization to find a wave function which gives quasiparticles of ...

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Skyrmions in the quantum Hall effect at finite Zeeman coupling

Skyrmions in the quantum Hall effect at finite Zeeman coupling

... At moderate Zeeman energies, the distortion of Skyrmions in the fractional quantum Hall effect is small and one may describe spin textures using the Belavin-Polyakov solutions. We show that ...

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Infinite symmetry in the quantum Hall effect

Infinite symmetry in the quantum Hall effect

... Since ρ = S (σ) this group acts identically on conductivity and resistivity, but this is not so for (most) subgroups, in which case we have to be clear about what z is. It is the fact that T and S do not commute that ...

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Numerical Studies of Topological Phases

Numerical Studies of Topological Phases

... bosonic quantum Hall effect has only U(1) symmetry, but we expect that breaking our symmetry to U (1) by allowing a small amount of tunnelling would not change the system ...realize fractional ...

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Application of Electrodynamic Theory on Quantum Hall Effect

Application of Electrodynamic Theory on Quantum Hall Effect

... The quantum electrodynamic (QED) behaviour is studied for quantum Hall effect ...(QHE). Quantum theory with conjecture of fractional charge quantization (quantum dipole ...

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Strong Electric Field in 2D Graphene: The Integer Quantum Hall Regime from a Different (Many Body) Perspective

Strong Electric Field in 2D Graphene: The Integer Quantum Hall Regime from a Different (Many Body) Perspective

... of Quantum Hall Effect, non-linear phenomena related to the global magnetization, energy and Hall conductivity (the latter depending on the strengths of magnetic B- and electric E-fields) ...

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Imaging of condensed quantum states in the quantum hall effect regime

Imaging of condensed quantum states in the quantum hall effect regime

... of fractional incompressible stripes in integer quantum Hall systems ...also fractional stripes can be found in the QPC even in the integer regime of the host electronic ...the ...

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Tunable fractional quantum Hall phases in bilayer graphene

Tunable fractional quantum Hall phases in bilayer graphene

... 2.2 Effect of gate tuning the graphene leads on the quantum Hall measurement In all our devices, we keep a distance (typically ranging from ...of quantum Hall measurements of the ...

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