Single Particle Hopping Between Luttinger Liquids: A Spectral Function Approach

Details Single Particle Hopping Between Luttinger Liquids: A Spectral Function Approach Single Particle Hopping Between Luttinger Liquids: A Spectral Function Approach

1995-10-31

arxiv.org/abs/cond-mat/9510168v1

Physics

Condensed Matter

23 pages, RevTeX; to appear in Proceedings of the Second International Workshop on Low Energy Excitations in Solids (Czech Rep

Scientific paper

We present a pedagogical account of our approach to the problem of Luttinger liquids coupled by interliquid single particle hopping. It is shown that the key issue is that of coherence/incoherence of interliquid hopping, and not of relevance/irrelevance in a renormalization group sense. A clear signal of coherence, present in the case of coupled Fermi liquids, is absent for Luttinger liquids, and we argue for the existence of an incoherent regime when the interliquid hopping rate is sufficiently small. The problem is relevant to any sufficiently anisotropic, strongly correlated metal, and in particular to understanding the anomalous c-axis conductivity in the cuprate superconductors, and the physics of the quasi-1D organic conductors.

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