منابع مشابه
The Quantum Hall effect, Skyrmions and Anomalies
We discuss the properties of Skyrmions in the Fractional Quantum Hall effect (FQHE). We begin with a brief description of the Chern-Simons-Landau-Ginzburg description of the FQHE, which provides the framework in which to understand a new derivation of the properties of FQHE Skyrmions (S. Baez, A.P. Balachandran, A. Stern and A. Travesset cond-mat 9712151) from anomaly and edge considerations. I...
متن کاملSkyrmions in the Fractional Quantum Hall Effect
It is verified that, at small Zeeman energies, the charged excitations in the vicinity of 1/3 filled Landau level are skyrmions of composite fermions, analogous to the skyrmions of electrons near filling factor unity. These are found to be relevant, however, only at very low magnetic fields. PACS numbers: 73.40.Hm Typeset using REVTEX 0Accepted for publication in Solid State Communications (199...
متن کاملQuantum Hall Skyrmions in Spherical Geometry
We have shown here that when 2D electron gas is taken to reside on the surface of 3D sphere with a monopole at the centre we can study quantum Hall skyrmions in terms of the 3+1 dimensional nonlinear sigma model. We have shown that the addition of the Skyrme term in the Lagrangian, for stability of skyrmion, helps us to determine the size of it. We have computed the energy of skyrmions in this ...
متن کاملStatistics of skyrmions in quantum Hall systems.
We analyze statistical interactions of skyrmions in the quantum Hall system near a critical filling fraction in the framework of the Ginzburg-Landau model. The phase picked up by the wave-function during an exchange of two skyrmions close to ν = 1/(2n + 1) is π[S + 1/2(2n + 1)], where S is the skyrmion’s spin. In the same setting an exchange of two fully polarized vortices gives rise to the pha...
متن کاملHamiltonian Formulation of Quantum Hall Skyrmions with Hopf Term
We study the nonrelativistic nonlinear sigma model with Hopf term in this paper. This is an important issue because of its relation to the currently interesting studies in skyrmions in quantum Hall systems. We perform the Hamiltonian analysis of this system in CP 1 variables. When the coefficient of the Hopf term becomes zero we get the Landau-Lifshitz description of the ferromagnets. The addit...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics B
سال: 1998
ISSN: 0217-9792,1793-6578
DOI: 10.1142/s0217979298000028