Singularities in ground state fidelity and quantum phase transitions for the Kitaev model

2008/03/06 by Jian-Hui Zhao, Zhao, Jian-Hui, Huan-Qiang Zhou +1 · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.0803.0814

openalex publication_date 2008/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The ground state fidelity per lattice site is shown to be able to detect quantum phase transitions for the Kitaev model on the honeycomb lattice, a prototypical example of quantum lattice systems with topological order. It is found that, in the thermodynamic limit, the ground state fidelity per lattice site is non-analytic at the phase boundaries: the second-order derivative of its logarithmic function with respect to a control parameter describing the interaction between neighboring spins is logarithmically divergent. A finite size scaling analysis is performed, which allows us to extract the correlation length critical exponent from the scaling behaviors of the ground state fidelity per lattice site.

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