Dynamical Properties of Two Coupled Hubbard Chains at Half-filling

Abstract

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, $A(\mathbf{k},\omega )$, 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 $t_{\perp }$, $A(\mathbf{k},\omega )$ 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 $t_{\perp }$.

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

References in corpus (7)

• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• Correlations in a two--chain Hubbard model
• The susceptibility and excitation spectrum of (VO)${}_2$P${}_2$O${}_7$ in ladder and dimer chain models
• Inelastic Neutron Scattering from the Spin Ladder Compound (VO)2P2O7
• Pairing and Excitation Spectrum in doped t-J Ladders
• Spectral properties of the one-dimensional Hubbard model
• The Doped Two Chain Hubbard Model

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