{ "id": "1002.2904", "version": "v1", "published": "2010-02-15T18:19:26.000Z", "updated": "2010-02-15T18:19:26.000Z", "title": "Fingerprint of Different Spin-Orbit Terms for Spin Transport in HgTe Quantum Wells", "authors": [ "D. G. Rothe", "R. W. Reinthaler", "C. -X. Liu", "L. W. Molenkamp", "S. -C. Zhang", "E. M. Hankiewicz" ], "comment": "23 pages, 4 figures, submitted to special NJP issue \"Focus on topological insulators\"", "journal": "New J. Phys. 12 065012 (2010)", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "abstract": "Using $\\vec{k}$$\\cdot$$\\vec{p}$ theory, we derive an effective four band model describing the physics of the typical two-dimensional topological insulator (HgTe/CdTe quantum well) in the presence of out-of-plane in z-direction inversion breaking and in-plane confining potentials. We find that up to third order in perturbation theory, only the inversion breaking potential generates new elements to the four band Hamiltonian that are off-diagonal in spin space. When this new effective Hamiltonian is folded into an effective two band model for the conduction (electron) or valence (heavy hole) bands, two competing terms appear: (1) a Rashba spin-orbit interaction originating from inversion breaking potential in z-direction and (2) an in-plane Pauli term as a consequence of the in-plane confining potential. Spin transport in the conduction band is further analysed within the Landauer-B\\\"uttiker formalism. We find that for asymmetrically doped HgTe quantum wells, the behaviour of the spin-Hall conductance is dominated by the Rashba term.", "revisions": [ { "version": "v1", "updated": "2010-02-15T18:19:26.000Z" } ], "analyses": { "keywords": [ "spin transport", "spin-orbit terms", "doped hgte quantum wells", "in-plane confining potential", "inversion breaking potential" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1367-2630/12/6/065012", "journal": "New Journal of Physics", "year": 2010, "month": "Jun", "volume": 12, "number": 6, "pages": "065012" }, "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010NJPh...12f5012R" } } }