Equivalence of Rashba-Hubbard and Hubbard chains

TL;DR

This paper reviews how U(1) gauge symmetry allows mapping Rashba-Hubbard chains to Hubbard models, impacting experimental interpretation and theoretical analysis of one-dimensional systems with spin-orbit coupling.

Contribution

It demonstrates the mapping's validity, explores its implications for bosonization and Heisenberg limits, and discusses applications to generalized Hubbard models.

Findings

Mapping enables reinterpretation of ARPES experiments.

Numerical applications confirm the mapping's validity.

Implications for bosonization and generalized models are discussed.

Abstract

We review the fact that U(1) gauge symmetry enables the mapping of one-dimensional Hubbard chains with Rashba-type spin orbit coupling to renormalized Hubbard Hamiltonians. The existence of the mapping has important consequences for the interpretation of ARPES experiments on one-dimensional chains subject to Rashba spin orbit coupling and can be exploited to check for the applicability of the mapping. We show numerical applications of the mapping and consider the implications for bosonization as well as for the Heisenberg-limit of the Hubbard model. In addition we point out the consequences for various generalized Hubbard models.