Tight-binding Rashba model and statistical field theory
Abstract
This document contains information supplementary to the article [1], but it is self-contained and can be read independently as a pedagogical review. In the first part, we explain our conventions for the tight-binding description of electronic states on the hexagonal Bravais lattice in two dimensions. We derive the Rashba spin splitting from elementary symmetry conditions, and subsequently construct a minimal tight-binding model which displays Rashba spin splitting near the center of the Brillouin zone. Furthermore, we derive the corresponding symmetry conditions for a two-particle interaction in a second-quantized framework. In the second part, we describe our conventions for the temperature Green functions, in terms of which the renormalization group equations in [1] have been formulated. We also provide a brief summary of the most important definitions and properties of temperature Green functions. [1] G. A. H. Schober, K.-U. Giering, M. M. Scherer, C. Honerkamp, and M. Salmhofer, arXiv:1409.7087.
Cite
@article{arxiv.1511.03047,
title = {Tight-binding Rashba model and statistical field theory},
author = {G. A. H. Schober and K. -U. Giering and M. M. Scherer and C. Honerkamp and M. Salmhofer},
journal= {arXiv preprint arXiv:1511.03047},
year = {2016}
}
Comments
withdrawn by the authors and combined into arXiv:1409.7087