15,295 research outputs found
Electron-Electron Bound States in Maxwell-Chern-Simons-Proca QED3
We start from a parity-breaking MCS QED model with spontaneous breaking
of the gauge symmetry as a framework for evaluation of the electron-electron
interaction potential and for attainment of numerical values for the e-e bound
state. Three expressions are obtained for the potential according to the
polarization state of the scattered electrons. In an energy scale compatible
with Condensed Matter electronic excitations, these three potentials become
degenerated. The resulting potential is implemented in the Schrodinger equation
and the variational method is applied to carry out the electronic binding
energy. The resulting binding energies in the scale of 10-100 meV and a
correlation length in the scale of 10-30 Angs. are possible indications that
the MCS-QED model adopted may be suitable to address an eventual case of
e-e pairing in the presence of parity-symmetry breakdown. The data analyzed
here suggest an energy scale of 10-100 meV to fix the breaking of the
U(1)-symmetry.
PACS numbers: 11.10.Kk 11.15.Ex 74.20.-z 74.72.-h ICEN-PS-01/17Comment: 13 pages, style revtex, revised versio
Exact static soliton solutions of 3+1 dimensional integrable theory with nonzero Hopf numbers
In this paper we construct explicitly an infinite number of Hopfions (static,
soliton solutions with non-zero Hopf topological charges) within the recently
proposed 3+1-dimensional, integrable and relativistically invariant field
theory. Two integers label the family of Hopfions we have found. Their product
is equal to the Hopf charge which provides a lower bound to the soliton's
finite energy. The Hopfions are constructed explicitly in terms of the toroidal
coordinates and shown to have a form of linked closed vortices.Comment: LaTeX, 7 pg
Electron-electron Bound States in Parity-Preserving QED3
By considering the Higgs mechanism in the framework of a parity-preserving
Planar Quantum Electrodynamics, one shows that an attractive electron-electron
interaction may come out. The e-e interaction potential emerges as the
non-relativistic limit of the Moller scattering amplitude and it may result
attractive with a suitable choice of parameters. Numerical values of the e-e
binding energy are obtained by solving the two-dimensional Schrodinger
equation. The existence of bound states is to be viewed as an indicative that
this model may be adopted to address the pairing mechanism in some systems
endowed with parity-preservation.Comment: 6 pages, 1 table, style revte
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