Potential Flow of Renormalization Group in Quasi-One-Dimensional Systems

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dc.creatorChen, Wei
dc.creatorChang, Ming-Shyang
dc.creatorLin, Hsiu-Hau
dc.creatorChang, Darwin
dc.creatorMou, Chung-Yu
dc.date2003-06-06
dc.date2004-09-02
dc.date.accessioned2026-07-07T12:34:07Z
dc.date.available2026-07-07T12:34:07Z
dc.descriptionWe address the issue why the phase diagrams for quasi-one-dimensional systems are rather simple, while the renormalization group equations behind the scene are non-linear and messy looking. The puzzle is answered in two steps -- we first demonstrate that the complicated coupled flow equations are simply described by a potential $V(h_i)$, in an appropriate basis for the interaction couplings $h_i$. The renormalization-group potential is explicitly constructed by introducing the Majorana fermion representation. The existence of the potential prevents chaotic behaviors and other exotic possibilities such as limit cycles. Once the potential is obtained, the ultimate fate of the flows are described by a special set of fixed-ray solutions and the phase diagram is determined by Abelian bosonization. Extension to strong coupling regime and comparison with the Zamolodchikov c-theorem are discussed at the end.
dc.descriptionMinor changes, final version to appear in Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/cond-mat/0306159
dc.identifierhttp://arxiv.org/abs/cond-mat/0306159
dc.identifierPhys. Rev. B 70, 205413 (2004)
dc.identifierdoi:10.1103/PhysRevB.70.205413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217312
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.titlePotential Flow of Renormalization Group in Quasi-One-Dimensional Systems
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