An Exactly Solvable Model of N Coupled Luttinger Chains

Details An Exactly Solvable Model of N Coupled Luttinger Chains An Exactly Solvable Model of N Coupled Luttinger Chains

1997-03-24

arxiv.org/abs/cond-mat/9703205v1

Phys. Rev. B 55, 15360 (1997).

Physics

Condensed Matter

Strongly Correlated Electrons

accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.55.15360

We calculate the exact Green function of a special model of N coupled Luttinger chains with arbitrary interchain hopping t_{perp}. The model is exactly solvable via bosonization if the interchain interaction does not fall off in the direction perpendicular to the chains. For any finite N we find Luttinger liquid behavior and explicitly calculate the anomalous dimension gamma^(N). However, the Luttinger liquid state does not preclude coherent interchain hopping. We also show that gamma^(N) -> 0 for N -> infinity, so that in the limit of infinitely many chains we obtain a Fermi liquid.

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