Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-08-12
Phys. Rev. B 85, 024301 (2012)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 8 figures
Scientific paper
10.1103/PhysRevB.85.024301
We study the scaling behavior of the fidelity ($F$) in the thermodynamic limit using the examples of a system of Dirac fermions in one dimension and the Kitaev model on a honeycomb lattice. We show that the thermodynamic fidelity inside the gapless as well as gapped phases follow power-law scalings, with the power given by some of the critical exponents of the system. The generic scaling forms of $F$ for an anisotropic quantum critical point for both thermodynamic and non-thermodynamic limits have been derived and verified for the Kitaev model. The interesting scaling behavior of $F$ inside the gapless phase of the Kitaev model is also discussed. Finally, we consider a rotation of each spin in the Kitaev model around the z axis and calculate $F$ through the overlap between the ground states for angle of rotation $\eta$ and $\eta+d\eta$, respectively. We thereby show that the associated geometric phase vanishes. We have supplemented our analytical calculations with numerical simulations wherever necessary.
Dutta Amit
Mukherjee Victor
Sen Diptiman
No associations
LandOfFree
Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit 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 Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-16165