Quadratic response theory for spin-orbit coupling in semiconductor heterostructures

dc.creatorForeman, Bradley A.
dc.date2005-06-18
dc.date2005-11-01
dc.date.accessioned2026-07-07T06:37:59Z
dc.date.available2026-07-07T06:37:59Z
dc.descriptionThis paper examines the properties of the self-energy operator in lattice-matched semiconductor heterostructures, focusing on nonanalytic behavior at small values of the crystal momentum, which gives rise to long-range Coulomb potentials. A nonlinear response theory is developed for nonlocal spin-dependent perturbing potentials. The ionic pseudopotential of the heterostructure is treated as a perturbation of a bulk reference crystal, and the self-energy is derived to second order in the perturbation. If spin-orbit coupling is neglected outside the atomic cores, the problem can be analyzed as if the perturbation were a local spin scalar, since the nonlocal spin-dependent part of the pseudopotential merely renormalizes the results obtained from a local perturbation. The spin-dependent terms in the self-energy therefore fall into two classes: short-range potentials that are analytic in momentum space, and long-range nonanalytic terms that arise from the screened Coulomb potential multiplied by a spin-dependent vertex function. For an insulator at zero temperature, it is shown that the electronic charge induced by a given perturbation is exactly linearly proportional to the charge of the perturbing potential. These results are used in a subsequent paper to develop a first-principles effective-mass theory with generalized Rashba spin-orbit coupling.
dc.description20 pages, no figures, RevTeX4; v2: final published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0506465
dc.identifierhttp://arxiv.org/abs/cond-mat/0506465
dc.identifierPhys. Rev. B 72, 165344 (2005)
dc.identifierdoi:10.1103/PhysRevB.72.165344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100586
dc.subjectMaterials Science
dc.titleQuadratic response theory for spin-orbit coupling in semiconductor heterostructures
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