Anomalous Hall and Nernst effects in a two-dimensional electron gas with an anisotropic cubic Rashba spin-orbit interaction

Abstract

The anomalous Hall and Nernst effects are considered theoretically within Matsubara-Green's function formalism. The effective Hamiltonian of a magnetized two-dimensional electron gas with cubic Rashba spin-orbit interaction may describe transport properties of electronic states at the interfaces or surfaces of perovskite oxides or another type of heterostructures that, due to symmetry, may be described by the same effective model. In the quasi-ballistic limit, both effects are determined by the topological (Fermi sea) contribution whereas the states at the Fermi level gives a negligibly small response. For a wide range of parameters describing the considered system, the anomalous Nernst conductivity reveals a change of the sign before the magnetic phase transition. PACS numbers: 68.65.-k 71.70.Ej 73.23.-b 73.40.-c

Semiclassical spin transport in LaO/STO system in the presence of multiple Rashba spin-orbit couplings

“…The strengths of these cubic RSOC terms can be tuned by varying the thickness of the STO layer and the magnitude of the confining field. Although the effects of the β 3 term on the spin response in the LaO/STO has been studied previously [57,60], a full study of both the cubic RSOC terms in light of the above study has not been performed. In particular, the η 3 term has a magnitude that can be comparable or even larger than that of the β 3 term, but has been neglected hitherto.…”