Ground-state fidelity in one-dimensional gapless models

Min Fong Yang*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

132 Scopus citations

Abstract

A general relation between quantum phase transitions and the second derivative of the fidelity (or the "fidelity susceptibility") is proposed. The validity and the limitation of the fidelity susceptibility in characterizing quantum phase transitions are thus established. Moreover, based on the bosonization method, general formulas of the fidelity and the fidelity susceptibility are obtained for a class of one-dimensional gapless systems known as the Tomonaga-Luttinger liquid. Applying these formulas to the one-dimensional spin- 1/2 XXZ model, we find that quantum phase transitions, even of the Beresinskii-Kosterlitz-Thouless type, can be signaled by the fidelity susceptibility.

Original languageEnglish
Article number180403
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume76
Issue number18
DOIs
StatePublished - 08 11 2007
Externally publishedYes

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