1,739 research outputs found
Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
We introduce a new term into the Dirac equation based on the Lorentz symmetry
violation background in order to make a theoretical description of the
relativistic quantum dynamics of a spin-half neutral particle, where the wave
function of the neutral particle acquires a relativistic Abelian quantum phase
given by the interaction between a fixed time-like 4-vector background and
crossed electric and magnetic fields, which is analogous to the geometric phase
obtained by Wei \textit{et al} [H. Wei, R. Han and X. Wei, Phys. Rev. Lett.
\textbf{75}, 2071 (1995)] for a spinless neutral particle with an induced
electric dipole moment. We also discuss the flux dependence of energy levels of
bound states analogous to the Aharonov-Bohm effect for bound states.Comment: 16 pages, no figure
Threading dislocation densities in semiconductor crystals: a geometric approach
In this letter, we introduce a geometric model to explain the origin of the
observed shallow levels in semiconductors threaded by a dislocation density. We
show that a uniform distribution of screw dislocations acts as an effective
uniform magnetic field which yields bound states for a spin-half quantum
particle, even in the presence of a repulsive Coulomb-like potential. This
introduces energy levels within the band gap, increasing the carrier
concentration in the region threaded by the dislocation density and adding
additional recombination paths other than the near band-edge recombination.Comment: 9 pages, no figur
- …