Journal
PHYSICAL REVIEW B
Volume 80, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.80.014403
Keywords
critical exponents; ground states; quantum theory; thermodynamics
Funding
- National Natural Science Foundation of China [10774197, 10874252]
- Natural Science Foundation of Chongqing [2008BC2023]
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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 nonanalytic 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 divergent. A finite-size scaling analysis is performed, which allows us to extract the correlation length critical exponent from the scaling behaviors of a part of the ground-state fidelity per lattice site.
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