Avila JC, Schulz-Baldes H, Villegas-Blas C (2013)
Publication Type: Journal article, Original article
Publication year: 2013
Publisher: Springer Verlag (Germany)
Book Volume: 16
Pages Range: 136-170
URI: http://de.arxiv.org/abs/1202.0537
DOI: 10.1007/s11040-012-9123-9
Transfer matrix methods and intersection theory are used to calculate the bands of edge states for a wide class of periodic two-dimensional tight-binding models including a sublattice and spin degree of freedom. This allows to define topological invariants by considering the associated Bott-Maslov indices which can be easily calculated numerically. For time-reversal symmetric systems in the symplectic universality class this leads to a ℤ
APA:
Avila, J.C., Schulz-Baldes, H., & Villegas-Blas, C. (2013). Topological invariants of edge states for periodic two-dimensional models. Mathematical Physics Analysis and Geometry, 16, 136-170. https://doi.org/10.1007/s11040-012-9123-9
MLA:
Avila, Julio Cesar, Hermann Schulz-Baldes, and Carlos Villegas-Blas. "Topological invariants of edge states for periodic two-dimensional models." Mathematical Physics Analysis and Geometry 16 (2013): 136-170.
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