Itinerant surfaces with spin-orbit couplings, correlations and external magnetic fields: Exact results

TL;DR

This paper develops an exact solution method for complex 2D itinerant fermionic systems with spin-orbit interactions and magnetic fields, providing insights into their ground states and excitations.

Contribution

It introduces an exact solution framework for non-integrable multiband 2D correlated systems with spin-orbit coupling and magnetic fields.

Findings

Exact ground state characterization

Low-lying excitation spectrum analysis

Solution procedure applicable to broad systems

Abstract

We analyze, in exact terms, multiband 2D itinerant correlated fermionic systems with many-body spin-orbit interactions, and in-plane external magnetic fields. Even if such systems with broad applicability in leading technologies are non-integrable, we set up an exact solution procedure for them, which is described in detail. Casting the Hamiltonian in positive semidefinite form, the technique leads to the ground state and also characterizes the low lying excitation spectrum.