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    National Tsing Hua University Institutional Repository > 理學院 > 物理系 > 期刊論文 >  Hierarchy of relevant couplings in perturbative renormalization group transformations

    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/54921

    Title: Hierarchy of relevant couplings in perturbative renormalization group transformations
    Authors: Hong-Yan Shih;Wen-Ming Huang;Sze-Bi Hsu;Hsiu-Hau Lin
    教師: 林秀豪
    Date: 2010
    Publisher: American Physical Society
    Relation: Physical Review B (Condensed Matter and Materials Physics), Volume 81, Issue 12, 2010, Pages 121107[4 pages]
    Keywords: Hierarchy
    perturbative renormalization
    Abstract: The phase diagram for the interacting fermions in weak coupling is described by the perturbative renormalization group equations. Due to the lack of analytic solutions for these coupled nonlinear differential equations, it is rather subtle to tell which couplings are relevant or irrelevant. We propose a powerful classification scheme to build up the hierarchy of the relevant couplings by a scaling Ansatz found numerically. To demonstrate its superiority over the conventional classification for the relevant couplings, we apply this scheme to a controversial phase transition in the two-leg ladder and show that it should be a nontrivial crossover instead. The scaling Ansatz we propose here can classify the relevant couplings in hierarchical order without any ambiguity and can improve significantly how we interpret the numerical outcomes in general renormalization group methods.
    URI: http://www.aps.org/
    Appears in Collections:[物理系] 期刊論文

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