Interchain coherence of coupled Luttinger liquids at all orders in perturbation theory

Details Interchain coherence of coupled Luttinger liquids at all orders in perturbation theory Interchain coherence of coupled Luttinger liquids at all orders in perturbation theory

1997-11-21

arxiv.org/abs/cond-mat/9711216v1

Phys. Rev. Lett. 80 (98) 790

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 ps figures. Accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.790

We analyze the problem of Luttinger liquids coupled via a single-particle hopping $\tp$ and introduce a systematic diagrammatic expansion in powers of $\tp$. An analysis of the scaling of the diagrams at each order allows us to determine the power-law behavior versus $\tp$ of the interchain hopping and of the Fermi surface warp. In particular, for strong interactions, we find that the exponents are dominated by higher-order diagrams producing an enhanced coherence and a failure of linear-response theory. Our results are valid at any finite order in $\tp$ for the self-energy.

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