Renormalization Group and Asymptotic Spin--Charge separation for Chiral Luttinger liquids

Details Renormalization Group and Asymptotic Spin--Charge separation for Chiral Luttinger liquids Renormalization Group and Asymptotic Spin--Charge separation for Chiral Luttinger liquids

2007-07-19

arxiv.org/abs/0707.2917v1

Physics

Condensed Matter

Strongly Correlated Electrons

45 pages, 11 figures

Scientific paper

10.1007/s10955-007-9474-y

The phenomenon of Spin-Charge separation in non-Fermi liquids is well understood only in certain solvable d=1 fermionic systems. In this paper we furnish the first example of asymptotic Spin-Charge separation in a d=1 non solvable model. This goal is achieved using Renormalization Group approach combined with Ward-Identities and Schwinger-Dyson equations, corrected by the presence of a bandwidth cut-offs. Such methods, contrary to bosonization, could be in principle applied also to lattice or higher dimensional systems.

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