Scaling dimension of fidelity susceptibility in quantum phase transitions
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AbstractWe analyze ground-state behaviors of fidelity susceptibility (FS) and show that the FS has its own distinct dimension instead of real system's dimension in general quantum phases. The scaling relation of the FS in quantum phase transitions (QPTs) is then established on more general grounds. Depending on whether the FS's dimensions of two neighboring quantum phases are the same or not, we are able to classify QPTs into two distinct types. For the latter type, the change in the FS's dimension is a characteristic that separates two phases. As a non-trivial application to the Kitaev honeycomb model, we find that the FS is proportional to L(2) lnL in the gapless phase, while L(2) in the gapped phase. Therefore, the extra dimension of lnL can be used as a characteristic of the gapless phase. Copyright (C) EPLA, 2009
All Author(s) ListGu SJ, Lin HQ
Journal nameEPL
Year2009
Month7
Day1
Volume Number87
Issue Number1
PublisherEuropean Physical Society
ISSN0295-5075
eISSN1286-4854
LanguagesEnglish-United Kingdom
Web of Science Subject CategoriesPhysics; Physics, Multidisciplinary; PHYSICS, MULTIDISCIPLINARY

Last updated on 2020-02-04 at 01:30