@article{ISI:000298862700001,
 abstract = {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 the thermodynamic and
nonthermodynamic 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 the 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.},
 article-number = {024301},
 author = {Mukherjee, Victor and Dutta, Amit and Sen, Diptiman},
 doi = {10.1103/PhysRevB.85.024301},
 eissn = {2469-9969},
 issn = {2469-9950},
 journal = {PHYSICAL REVIEW B},
 month = {JAN 3},
 number = {2},
 orcid-numbers = {Mukherjee, Victor/0000-0003-3324-8056
Mukherjee, Victor/0000-0003-3324-8056},
 researcherid-numbers = {Mukherjee, Victor/AAR-3999-2020
Mukherjee, Victor/C-5241-2018},
 times-cited = {18},
 title = {Quantum fidelity for one-dimensional Dirac fermions and two-dimensional
Kitaev model in the thermodynamic limit},
 unique-id = {ISI:000298862700001},
 volume = {85},
 year = {2012}
}