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

• Published in: Journal of magnetism and magnetic materials 2020-03, Vol.497, p.165919, Article 165919
• Main Authors: Krzyżewska, A., Dyrdał, A.
• Format: Article
• Language: English
• Subjects: Anomalous Hall effect; Anomalous Nernst effect; Berry curvature; Cubic Rashba spin-orbit coupling; Electron gas; Electron spin; Electron states; Green's functions; Heterostructures; Perovskite oxides interfaces; Perovskites; Phase transitions; Semiconductor heterostructures; Spin-orbit interactions; Transport properties
• ISSN: 0304-8853; 1873-4766
• DOI: 10.1016/j.jmmm.2019.165919

•Anomalous Hall and Nernst effects have been studied in a magnetized 2D electron gas.•Anisotropic cubic Rashba spin-orbit coupling has been taken into account.•The considered model may describe some properties of electronic states at the interfaces or surfaces of perovskite oxides.•Anomalous Hall and Nernst effects are determined by intrinsic contribution, which originates from Berry curvature.•Change of the sign in anomalous Nernst conductivity occurs for temperatures preceding the Curie temperature. 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.