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Universal scaling behavior of coupled chains of interacting fermions

S. Capponi·D. Poilblanc·E. Arrigoni
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Abstract

The single-particle hopping between two chains is investigated by exact-diagonalizations techniques supplemented by finite-size scaling analysis. In the case of two coupled strongly-correlated chains of spinless fermions, the Taylor expansion of the expectation value of the single-particle interchain hopping operator of an electron at momentum k_F in powers of the interchain hopping t_perp is shown to become unstable in the thermodynamic limit. In the regime alpha alpha_{tp}, the scaling law is proven to change its functional form, thus signaling, for the first time numerically, the onset of coherent transverse two-particle hopping.

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S. Capponi, D. Poilblanc, E. Arrigoni. 1997-09-16. Universal scaling behavior of coupled chains of interacting fermions. https://doi.org/10.1103/physrevb.57.6360

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