Phys. Rev. A 77, 062321 (2008) [8 pages]Fidelity approach to Gaussian transitionsReceived 3 April 2008; published 13 June 2008 The fidelity approach to the Gaussian transitions in spin-one XXZ spin chains with three different values of Ising-type anisotropy λ is analyzed by means of the density matrix renormalization group technique for systems of large sizes. We find that, despite the success in the cases of λ=2.59 and 1, the fidelity susceptibility fails to detect the Gaussian transition for λ=0.5. Thus our results demonstrate the limitation of the fidelity susceptibility in characterizing quantum phase transitions, which was proposed recently in general frameworks. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.062321
DOI:
10.1103/PhysRevA.77.062321
PACS:
03.67.−a, 75.10.Pq, 05.70.Fh, 71.10.Pm
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