Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-07-20
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
proceeding of EP2DS-16
Scientific paper
10.1016/j.physe.2006.03.141
It is widely accepted that topological quantities are useful to describe quantum liquids in low dimensions. The (spin) Hall conductances are typical examples. They are expressed by the Chern numbers, which are topological invariants given by the Berry connections of the ground states. We present a topological description for the (spin) Hall conductances on a discretized Brillouin Zone. At the same time, it is quite efficient in practical numerical calculations for concrete models. We demonstrate its validity in a model with quantum phase transitions. Topological changes supplemented with the transition is also described in the present lattice formulation.
Fukui Takahiro
Hatsugai Yasuhiro
Suzuki Hiroshi
No associations
LandOfFree
Topological Description of (Spin) Hall Conductances on Brillouin Zone Lattices : Quantum Phase Transitions and Topological Changes 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 Description of (Spin) Hall Conductances on Brillouin Zone Lattices : Quantum Phase Transitions and Topological Changes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Description of (Spin) Hall Conductances on Brillouin Zone Lattices : Quantum Phase Transitions and Topological Changes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-490955