Decomposition of Gauge Potential in Ginzburg-Landau Theory

作者:Li Jian-Feng; Jiang Yu; Sun Wei-Min; Wang Fan; Zong Hong-Shi*
来源:Chinese Physics Letters, 2010, 27(8): 087403.
DOI:10.1088/0256-307X/27/8/087403

摘要

Recently, Liu et al. proposed a so-called extended Anderson-Higgs mechanism by studying the (2+1)-dimensional Ginzburg-Landau model in the pseudogap region of high-T-c superconductor (Phys. Rev. B 65 (2002) 132513). We revisit this problem based on a general decomposition of the U(1) gauge potential. Using the bulk superconductor and superconduct ring as examples, we obtain a simpler expression for the extended Anderson-Higgs mechanism. In the former case we indicate that all the phase field can always be "eaten up" by the pure gauge term A(parallel to) In the latter case, we decompose the phase field as theta(x) =theta(1)(x) + theta(2)(x) and find that only the phase field theta(1) connected with Anderson-Higgs mechanism can be canceled by the pure-gauge term A(parallel to). On the other hand, the remaining phase field theta(2) connected with A(perpendicular to) is multi-valued, which can induce new physical effects such as A-B effect and flux quantization. It is natural to conclude that there is no longitudinal phase fluctuation effect in high-temperature superconductors since longitudinal phase theta(1) is connected with pure-gauge term.

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