Dynamical Properties of Two Coupled Hubbard Chains at Half-filling

Details Dynamical Properties of Two Coupled Hubbard Chains at Half-filling Dynamical Properties of Two Coupled Hubbard Chains at Half-filling

1995-08-18

arxiv.org/abs/cond-mat/9508074v2

Phys. Rev. B 53 (1996) 5530

Physics

Condensed Matter

9 pages + 10 postscript figures, submitted to Phys.Rev.B, revised version with isotropic t_perp=t data included

Scientific paper

10.1103/PhysRevB.53.5530

Using grand canonical Quantum Monte Carlo (QMC) simulations combined with Maximum Entropy analytic continuation, as well as analytical methods, we examine the one- and two-particle dynamical properties of the Hubbard model on two coupled chains at half-filling. The one-particle spectral weight function, $A({\bf k},\omega)$, undergoes a qualitative change with interchain hopping $t_\perp$ associated with a transition from a four-band insulator to a two-band insulator. A simple analytical model based on the propagation of exact rung singlet states gives a good description of the features at large $t_\perp$. For smaller $t_\perp$, $A({\bf k}, \omega)$ is similar to that of the one-dimensional model, with a coherent band of width the effective antiferromagnetic exchange $J$ reasonably well-described by renormalized spin-wave theory. The coherent band rides on a broad background of width several times the parallel hopping integral $t$, an incoherent structure similar to that found in calculations on both the one- and two-dimensional models. We also present QMC results for the two-particle spin and charge excitation spectra, and relate their behavior to the rung singlet picture for large $t_\perp$ and to the results of spin-wave theory for small $t_\perp$.

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