9,853 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
Nontopological self-dual Maxwell-Higgs vortices
We study the existence of self-dual nontopological vortices in generalized
Maxwell-Higgs models recently introduced in Ref. \cite{gv}. Our investigation
is explicitly illustrated by choosing a sixth-order self-interaction potential,
which is the simplest one allowing the existence of nontopological structures.
We specify some Maxwell-Higgs models yielding BPS nontopological vortices
having energy proportional to the magnetic flux, , and whose profiles
are numerically achieved. Particularly, we investigate the way the new
solutions approach the boundary values, from which we verify their
nontopological behavior. Finally, we depict the profiles numerically found,
highlighting the main features they present.Comment: 6 pages, 4 figure
On the -Dirac Oscillator revisited
This Letter is based on the -Dirac equation, derived from the
-Poincar\'{e}-Hopf algebra. It is shown that the -Dirac
equation preserves parity while breaks charge conjugation and time reversal
symmetries. Introducing the Dirac oscillator prescription,
, in the -Dirac
equation, one obtains the -Dirac oscillator. Using a decomposition in
terms of spin angular functions, one achieves the deformed radial equations,
with the associated deformed energy eigenvalues and eigenfunctions. The
deformation parameter breaks the infinite degeneracy of the Dirac oscillator.
In the case where , one recovers the energy eigenvalues and
eigenfunctions of the Dirac oscillator.Comment: 5 pages, no figures, accepted for publication in Physics Letters
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