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Physics Letters A

Spectral properties and sum rules of the one-dimensional Hubbard model

Tsutomu Momoi

Published Dec 1, 1994• 7 citations
Publisher
DOI
10.1016/0375-9601(94)90041-8

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The spectral properties of the 1D Hubbard model are obtained from quantum Monte Carlo simulations on large systems ($N=84$) using the maximum entropy method. It is shown for the first time that the one-particle excitations are characterized by dispersive cosinelike bands, in extremely good agreement with slave-boson mean-field ones. Velocities for spin and charge excitations are obtained that lead to a conformal charge $c=0.98\ifmmode\pm\else\textpm\fi{}0.05$. An exact sum rule for spin and charge excitations is fulfilled accurately with deviations of at most 10% only around $2{k}_{F}$.

arXiv:cond-mat/9312049•Physical Review Letters•Aug 1, 1994•83 citations
The spectral properties of the 1D Hubbard model are obtained from quantum Monte Carlo simulations on large systems (N=84N=84N=84) using the maximum entropy method. It is shown for the first time that the one-particle excitations are characterized by dispersive cosinelike bands, in extremely good agreement with slave-boson mean-field ones. Velocities for spin and charge excitations are obtained that lead to a conformal charge $c=0.98\ifmmode\pm\else\textpm\fi{}0.05$. An exact sum rule for spin and charge excitations is fulfilled accurately with deviations of at most 10% only around 2kF2{k}_{F}2kF​.