Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 22: Quantum Dots, Quantum Wires, Point Contacts

TT 22.7: Vortrag

Dienstag, 17. März 2020, 11:00–11:15, HSZ 201

Spin-dependent scattering in a nanowire with spin-orbit coupling and an impurityAlba Pascual1, •Tineke L. van den Berg1,2, Vitaly N. Golovach1,2,3, Dario Bercioux2,3, Juan José Sáenz2,3, and Sebastián Bergeret1,21Centro de Física de Materiales (CFM-MPC) Centro Mixto CSIC-UPV/EHU,E-20018 Donostia-San Sebastián, Spain — 2Donostia International Physics Center (DIPC), E-20018 Donostia-San Sebastián, Spain — 3IKERBASQUE, Basque Foundation of Science, E-48011 Bilbao, Spain

We study a quasi-one-dimensional quantum wire with spin-orbit coupling (SOC), and containing a spinless impurity. We use a perturbative approach to leading order in SOC to obtain an effective Hamiltonian with decoupled sub-bands of size quantization. We calculate the scattering matrix using the Lippmann-Schwinger approach, accounting for the SU(2) gauge field generated by the SOC in the nanowire. The well-known dip in the conductance due to Fano interference is lifted from zero as a result of the spin scattering at the impurity. Going beyond the perturbative approach, we discuss numerical results of a tight-binding calculation in the continuous limit of fine discretization. We analyse the conductance dip behaviour as a function of the impurity and the SOC strength. We relate the numerical results to our toy-model calculation using an asymptotic-freedom approach.

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