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The role of Chern Simons theory in solving the fractional quantum Hall effect mystery
Chern Simons theory fractional quantum Hall effect
2015/3/19
The role of Chern Simons theory in solving the fractional quantum Hall effect mystery.
We use the fractional calculus of Kobelev to produce a fractional quantum potential for a corresponding Schrodinger type equation.
An alternative unified formulation for integer and fractional quantum Hall effects
quantum Hall effect fractional quantum effect degeneracy density Hall quantum number
2011/8/2
Abstract: In this paper, a new unified formulation of integer and fractional quantum Hall effect are presented. Firstly, under the condition of strong magnetic field and symmetry gauge, the Pauli equa...
Applications of density matrix in the fractional quantum mechanics
Applications of density matrix fractional quantum mechanics
2011/2/25
The many-body space fractional quantum system is studied using the density matrix method. We give the new results of the Thomas-Fermi model, and obtain the quantum pressure of the free electron gas. W...
We study the tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schr\"odinger equation for these potentials, we calculate the correspond...
Scaling and non-Abelian signature in fractional quantum Hall quasiparticle tunneling amplitude
non-Abelian signature quantum Hall quasiparticle tunneling amplitude
2010/12/27
We study the scaling behavior in the tunneling amplitude when quasiparticles tunnel along a straight path between the two edges of a fractional quantum Hall annulus. Such scaling behavior originates f...
We study the tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schr\"odinger equation for these potentials, we calculate the correspondi...
Scaling and non-Abelian signature in fractional quantum Hall quasiparticle tunneling amplitude
fractional quantum Hall quasiparticle amplitude
2010/11/25
We study the scaling behavior in the tunneling amplitude when quasiparticles
tunnel along a straight path between the two edges of a fractional quantum Hall
annulus. Such scaling behavior originates...
A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
Quark confinement and the fractional quantum Hall effect
QCD confinement Vilson factor Aharonov-Bohm effect fractional quantum Hall effect
2009/8/14
Working in the physics of Wilson factor and Aharonov-Bohm effect, we find in the fluxtube-quark system the topology of a baryon consisting of three heavy flavor quarks resembles that of the fractional...
Edge states in graphene quantum dots: Fractional quantum Hall effect analogies and differences at zero magnetic field
Edge states graphene quantum dots Fractional quantum Hall zero magnetic field
2010/4/13
We investigate the way that the degenerate manifold of midgap edge states in quasicircular graphene quantum dots with zig-zag boundaries supports, under free-magnetic-field conditions, strongly correl...