Transverse transport in coupled strongly correlated electronic chains

Details Transverse transport in coupled strongly correlated electronic chains Transverse transport in coupled strongly correlated electronic chains

1997-06-18

arxiv.org/abs/cond-mat/9706191v1

Physics

Condensed Matter

Strongly Correlated Electrons

Latex, 5 pages, 6 encapsulated figures, Proceedings of the Euroconference on ``Correlations in Unconventional Quantum Liquids'

Scientific paper

10.1007/s002570050354

One-particle interchain hopping in a system of coupled Luttinger liquids is investigated by use of exact diagonalizations techniques. Firstly, the two chain problem of spinless fermions is studied in order to see the behaviour of the band splitting as a function of the exponent \alpha which characterizes the 1D Luttinger liquid. We give numerical evidence that inter-chain coherent hopping (defined by a non-vanishing splitting) can be totally suppressed for \alpha\sim 0.4 or even smaller \alpha values. The transverse conductivity is shown to exhibit a strong incoherent part even when coherent inter-chain hopping is believed to occur (at small \alpha values). Implications for the optical experiments in quasi-1D organic or high-T_c superconductors is outlined.

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