A Short Course on Topological Insulators pp 139-152 | Cite as The \(\mathbb{Z}_{2}\) Invariant of Two-Dimensional Topological Insulators- Authors
- Authors and affiliations
- JánosK.Asbóth
- LászlóOroszlány
- AndrásPályi
Chapter First Online: 23 February 2016 Part of the Lecture Notes in Physics book series (LNP, volume 919)AbstractA time-reversal invariant topological insulator either has no topologically protected edge states, or one pair of such edge states. Thus, its bulk topological invariant is either 0 or 1: it is a \(\mathbb{Z}_{2}\) number. Although obtaining a single yes/no answer might seem easier than the calculation of a Chern number, the \(\mathbb{Z}_{2}\) invariant is notoriously difficult to calculate. In this chapter we detail a way to calculate it that follows the same logic as before for the Chern number. KeywordsWilson LoopEdge StateTopological InsulatorCharge PumpBerry PhaseThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves. This is a preview of subscription content, log in to check access. References1. A.A. Aligia, G. 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©Springer International Publishing Switzerland2016 Authors and Affiliations- JánosK.Asbóth
- LászlóOroszlány
- AndrásPályi
- 1.Wigner Research Centre for PhysicsHungarian Academy of SciencesBudapestHungary
- 2.Department of Physics of Complex SystemsEötvös Loránd UniversityBudapestHungary
- 3.Department of Materials PhysicsEötvös Loránd UniversityBudapestHungary
- 4.Department of PhysicsBudapest University of Technology and EconomicsBudapestHungary
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