Renormalization Group Potential for Quasi-One-Dimensional Correlated Systems

Details Renormalization Group Potential for Quasi-One-Dimensional Correlated Systems Renormalization Group Potential for Quasi-One-Dimensional Correlated Systems

2005-08-28

arxiv.org/abs/cond-mat/0508660v2

Progress of Theoretical Physics (Supplement) 160, 79 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

35 pages, 4 figures, typos in the RG equations corrected

Scientific paper

10.1143/PTPS.160.79

We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all possible interaction vertices. Furthermore, the one-loop renormalization group equations are derived by operator product expansions of these currents at short length scale. It is rather remarkable that these coupled non-linear equations, after appropriate rescaling, can be casted into potential flows. The existence of what we nicknamed "RG potential" provides a natural explanation of the emergent symmetry enhancement in ladder systems. Further implications arisen from the RG potential are also discussed at the end.

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