Abstract
This review aims at a theoretical discussion of Dirac points in twodimensional systems. Whereas Dirac points and Dirac fermions are prominent low-energy electrons in graphene (two-dimensional graphite), research on Dirac fermions in low-energy physics has spread beyond condensed matter to artificial graphene systems. In these alternative systems, a large versatility in the manipulation of the relevant band parameters can be achieved. This allows for a systematic study of the motion and different possible fusions of Dirac points, which are beyond the physical limits of graphene. We introduce the basic properties of Dirac fermions and the motion of Dirac points here and aim at a topological classification of these motions. The theoretical concepts are illustrated in particular model systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Goerbig, M., Montambaux, G. (2017). Dirac Fermions in Condensed Matter and Beyond. In: Duplantier, B., Rivasseau, V., Fuchs, JN. (eds) Dirac Matter . Progress in Mathematical Physics, vol 71. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-32536-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-32536-1_2
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-32535-4
Online ISBN: 978-3-319-32536-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)