Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-10-22
Physics
Condensed Matter
Strongly Correlated Electrons
7 pages, 8 figures
Scientific paper
In this paper a geometric phase of the Kitaev honeycomb model is derived and proposed to characterize the topological quantum phase transition. The simultaneous rotation of two spins is crucial to generate the geometric phase for the multi-spin in a unit-cell unlike the one-spin case. It is found that the ground-state geometric phase, which is non-analytic at the critical points, possesses zigzagging behavior in the gapless $B$ phase of non-Abelian anyon excitations, but is a smooth function in the gapped $A$ phase. Furthermore, the finite-size scaling behavior of the non-analytic geometric phase along with its first- and second-order partial derivatives in the vicinity of critical points is shown to exhibit the universality. The divergent second-order derivative of geometric phase in the thermodynamic limit indicates the typical second-order phase transition and thus the topological quantum phase transition can be well described in terms of the geometric-phase.
Chen Gang
Lian Jinling
Liang Jing-Qiu
No associations
LandOfFree
Geometric phase in the Kitaev honeycomb model and scaling behavior at critical points 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 Geometric phase in the Kitaev honeycomb model and scaling behavior at critical points, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric phase in the Kitaev honeycomb model and scaling behavior at critical points will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-564534