One particle interchain hopping in coupled Hubbard chains

Abstract

Interchain hopping in systems of coupled chains of correlated electrons is investigated by exact diagonalizations and Quantum-Monte-Carlo methods. For two weakly coupled Hubbard chains at commensurate densities (e.g. n=1/3) the splitting at the Fermi level between bonding and antibonding bands is strongly reduced (but not suppressed) by repulsive interactions extending to a few lattice spacings. The magnitude of this reduction is directly connected to the exponent $\alpha$ of the 1D Luttinger liquid. However, we show that the incoherent part of the single particle spectral function is much less affected by the interchain coupling. This suggests that incoherent interchain hopping could occur for intermediate $\alpha$ values.

4 pages, LaTeX 3.0, 7 PostScript figures in uuencoded form

References in corpus (5)

• Phase diagram of the one-dimensional extended Hubbard model at quarter filling
• Shadow band in the one-dimensional large $U$ Hubbard model
• One-Particle an Two-Particle Instability of Coupled Luttinger Liquids
• Spectral function of the 1D Hubbard model in the $U\to +\infty$ limit
• Integrability and coherence of hopping between 1D correlated electrons systems

Cited by in corpus (6)

• Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model
• Persistent currents in a Moebius ladder: A test of interchain coherence of interacting electrons
• Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains
• Confinement and transverse conductivity in coupled Luttinger liquids
• Universal scaling behavior of coupled chains of interacting fermions
• Tunneling between coupled Luttinger liquids