Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

15 pages, 6 figures, submitted to EPJB

Scientific paper

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 $\hbar$ 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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-314809

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.