Journal
EUROPEAN PHYSICAL JOURNAL B
Volume 77, Issue 3, Pages 351-362Publisher
SPRINGER
DOI: 10.1140/epjb/e2010-00259-2
Keywords
s
Categories
Ask authors/readers for more resources
The semiclassical quantization of cyclotron orbits for two-dimensional Bloch electrons in a coupled two band model with a particle-hole symmetric spectrum is considered. As concrete examples, we study graphene (both mono and bilayer) and boron nitride. The main focus is on wave effects - such as Berry phase and Maslov index - occurring at order at h in the semiclassical quantization and producing non-trivial shifts in the resulting Landau levels. Specifically, we show that the index shift appearing in the Landau levels is related to a topological part of the Berry phase - which is basically a winding number of the direction of the pseudo-spin 1/2 associated to the coupled bands - acquired by an electron during a cyclotron orbit and not to the complete Berry phase, as commonly stated. As a consequence, the Landau levels of a coupled band insulator are shifted as compared to a usual band insulator. We also study in detail the Berry curvature in the whole Brillouin zone on a specific example (boron nitride) and show that its computation requires care in defining the k-dependent Hamiltonian H(k), where k is the Bloch wavevector.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available