2015/11/10 by G. A. H. Schober, K. -U. Giering, Schober, G. A. H. +11
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Quantum and electron transport phenomena #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.1511.03047
withdrawn by the authors and combined into arXiv:1409.7087
openalex publication_date 2015/11/10 · arxiv created 2016/02/09 · arxiv updated 2016/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.