Universal scaling behavior of coupled chains of interacting fermions

Article

关键词: ONE-DIMENSIONAL CONDUCTORS;    CHARGE-SPIN SEPARATION;    LUTTINGER LIQUIDS;    SPECTRAL PROPERTIES;    PARTICLE;    MODEL;    CONFINEMENT;    (TMTSF)2PF6;    CROSSOVER;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.57.6360

来源: SCIE

【 摘 要 】

The single-particle hopping between two chains is investigated by el;act-diagonalization 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(perpendicular to) is shown to become unstable in the thermodynamic Limit. The single-chain anomalous exponent alpha [characterizing the low-energy density of state N(omega)similar to omega(alpha)] is shown to be the key parameter that governs the finite-size scaling behavior. In the regime alpha < alpha(2p)(alpha(2p)similar or equal to 0.41) where transverse two-particle hopping is less relevant than single-particle hopping, the finite-size effects can be described in terms of a universal scaling function. From this analysis it is found that the single-particle transverse hopping behaves as t(perpendicular to)(alpha/(1-alpha)), in agreement with a random-phase-approximation-like treatment of the interchain coupling, For alpha > alpha(2p), the scaling law is proved to change its functional form,thus signaling the onset of coherent transverse two-particle hopping.

【 授权许可】

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