# Magnetic-field-driven topological transitions in non-centrally-symmetric energy spectrum of 2D electron gas with Rashba-Dresselhaus spin-orbit interaction

## TL;DR

This paper investigates how parallel magnetic fields induce topological Lifshitz transitions in the energy spectrum of a 2D electron gas with Rashba-Dresselhaus spin-orbit interaction, revealing critical points and Van Hove singularities.

## Contribution

It provides general formulas for critical points in the spectrum and predicts critical magnetic fields that cause topological transitions, advancing understanding of 2D electron systems with SOI.

## Key findings

- Existence of critical magnetic fields changing the number of critical points.
- Formulas for energies of critical points for arbitrary SOI and magnetic fields.
- Calculation of Van Hove singularities in the density of states.

## Abstract

Spin orbit interaction (SOI) having a complicated energy spectrum with a conical point and four critical points are promising candidates to observe electron topological transitions. In the present paper we have investigated the evolution of the electron spectrum and isoenergetic contours under the influence of parallel magnetic field. General formulas for energies of critical points for arbitrary values of SOI constants and magnetic field are found. The existence of critical magnetic fields at which a number of critical points is changed has been predicted. The magnetic field driving topological Lifshitz transitions in the geometry of isoenergetic contours have been studied. Van Hove's singularities in the electron density of states are calculated. The obtained results can be used for theoretical investigations of different electron characteristics of such 2D systems.