Physical solutions of the Kitaev honeycomb model

Details Physical solutions of the Kitaev honeycomb model Physical solutions of the Kitaev honeycomb model

2011-05-23

arxiv.org/abs/1105.4573v2

Phys. Rev. B 84, 165414 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.84.165414

We investigate the exact solution of the honeycomb model proposed by Kitaev and derive an explicit formula for the projector onto the physical subspace. The physical states are simply characterized by the parity of the total occupation of the fermionic eigenmodes. We consider a general lattice on a torus and show that the physical fermion parity depends in a nontrivial way on the vortex configuration and the choice of boundary conditions. In the vortex-free case with a constant gauge field we are able to obtain an analytical expression of the parity. For a general configuration of the gauge field the parity can be easily evaluated numerically, which allows the exact diagonalization of large spin models. We consider physically relevant quantities, as in particular the vortex energies, and show that their true value and associated states can be substantially different from the one calculated in the unprojected space, even in the thermodynamic limit.

Affiliated with

Also associated with

No associations

Rating

Physical solutions of the Kitaev honeycomb model 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 Physical solutions of the Kitaev honeycomb model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Physical solutions of the Kitaev honeycomb model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-23034