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

## TL;DR

This paper theoretically investigates the anomalous Hall and Nernst effects in a 2D electron gas with anisotropic cubic Rashba spin-orbit interaction, highlighting the topological contributions and sign change of Nernst conductivity near magnetic transitions.

## Contribution

It provides a theoretical analysis of transport properties in a magnetized 2D electron gas with cubic Rashba interaction, emphasizing the topological Fermi sea effects and sign change phenomena.

## Key findings

- Anomalous Hall and Nernst effects are dominated by topological contributions in the quasi-ballistic limit.
- The Nernst conductivity changes sign before the magnetic phase transition.
- States at the Fermi level have negligible contribution to the effects.

## 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.