{ "id": "cond-mat/0602552", "version": "v1", "published": "2006-02-23T20:56:05.000Z", "updated": "2006-02-23T20:56:05.000Z", "title": "Spin-orbit interaction in quantum dots in the presence of exchange correlations", "authors": [ "Hakan E. Tureci", "Y. Alhassid" ], "comment": "14 pages, 3 figures", "journal": "Phys. Rev. B 74, 165333 (2006)", "doi": "10.1103/PhysRevB.74.165333", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el", "nucl-th" ], "abstract": "We discuss the problem of spin-orbit interaction in a 2D chaotic or diffusive quantum dot in the presence of exchange correlations. Spin-orbit scattering breaks spin rotation invariance, and in the crossover regime between different symmetries of the spin-orbit coupling, the problem has no closed solution. A conventional choice of a many-particle basis in a numerical diagonalization is the set of Slater determinants built from the single-particle eigenstates of the one-body Hamiltonian (including the spin-orbit terms). We develop a different approach based on the use of a good-spin many-particle basis that is composed of the eigenstates of the universal Hamiltonian in the absence of spin-orbit scattering. We introduce a complete labelling of this good-spin basis and use angular momentum algebra to calculate in closed form the matrix elements of the spin-orbit interaction in this basis. Spin properties, such as the ground-state spin distribution and the spin excitation function, are easily calculated in this basis.", "revisions": [ { "version": "v1", "updated": "2006-02-23T20:56:05.000Z" } ], "analyses": { "keywords": [ "spin-orbit interaction", "exchange correlations", "quantum dot", "spin-orbit scattering breaks spin rotation", "scattering breaks spin rotation invariance" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "inspire": 715420 } } }