{ "id": "2012.01395", "version": "v1", "published": "2020-12-02T18:42:13.000Z", "updated": "2020-12-02T18:42:13.000Z", "title": "Ballistic transport through quantum point contacts of multi-orbital oxides", "authors": [ "J. Settino", "C. A. Perroni", "F. Romeo", "V. Cataudella", "R. Citro" ], "comment": "11 pages, 9 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "Linear and non-linear transport properties through an atomic-size point contact based on oxides two-dimensional electron gas is examined using the tight-binding method and the $\\mathbf{k\\cdot p}$ approach. The ballistic transport is analyzed in contacts realized at the (001) interface between band insulators $LaAlO_3$ and $SrTiO_3$ by using the Landauer-B\\\"uttiker method for many sub-bands derived from three Ti 3d orbitals ($d_{yz}$, $d_{zx}$ and $d_{xy}$) in the presence of an out-of-plane magnetic field. We focus especially on the role played by the atomic spin-orbit coupling and the inversion symmetry breaking term pointing out three transport regimes: the first, at low energies, involving the first $d_{xy}$-like sub-bands, where the conductance quantization is robust; a second one, at intermediate energies, entailing further $d_{xy}$-like sub-bands, where the sub-band splitting induced by the magnetic field is quenched; the third one, where the mixing between light $d_{xy}$-like, heavy $d_{yz}$-like and $d_{zx}$-like sub-bands is so strong that the conductance plateaus turn out to be very narrow. Very good agreement is found with recent experiments exploring the transport properties at low energies.", "revisions": [ { "version": "v1", "updated": "2020-12-02T18:42:13.000Z" } ], "analyses": { "keywords": [ "quantum point contacts", "ballistic transport", "multi-orbital oxides", "symmetry breaking term pointing", "magnetic field" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }