Periodic Structures with Rashba Interaction in Magnetic Field

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dc.creatorJellal, Ahmed
dc.creatorHouca, Rachi
dc.date2008-06-22
dc.date2008-11-12
dc.date.accessioned2026-07-07T12:14:47Z
dc.date.available2026-07-07T12:14:47Z
dc.descriptionWe analyze the behaviour of a system of particles living on a periodic crystal in the presence of a magnetic field B. This can be done by involving a periodic potential U(x) and the Rashba interaction of coupling constant k_{so}. By resorting the corresponding spectrum, we explicitly determine the band structures and the Bloch spinors. These allow us to discuss the system symmetries in terms of the polarizations where they are shown to be broken. The dynamical spin will be studied by calculating different quantities. In the limits: k_{so} and U(x)=0, we analyze again the system by deriving different results. Considering the strong $B$ case, we obtain an interesting result that is the conservation of the polarizations. Analyzing the critical point λ_{k,σ}=\pm\sq{1\over 2}, we show that the Hilbert space associated to the spectrum in z-direction has a zero mode energy similar to that of massless Dirac fermions in graphene. Finally, we give the resulting energy spectrum when B=0 and U(x) is arbitrary.
dc.description24 pages, references added, misprints corrected. Version to appear in JPA
dc.identifierhttps://arxiv.org/abs/0806.3574
dc.identifierhttp://arxiv.org/abs/0806.3574
dc.identifierJ.Phys.A42:035205,2009
dc.identifierdoi:10.1088/1751-8113/42/3/035205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211314
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.titlePeriodic Structures with Rashba Interaction in Magnetic Field
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