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Charge and spin separation in one-dimensional systems

C. A. Balseiro, E. A. Jagla, K. Hallberg

Published Sep 1, 1995• 0 citations
Publisher
DOI
10.1142/9789814503891_0009

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E. A. Jagla, K. Hallberg, C. A. Balseiro

We study numerically the charge and spin separation in low-dimensional systems with local interactions. We consider finite Hubbard systems in one and two dimensions and calculate the ground state. An electron is added to the system in a spatially localized state. The time evolution of this state is obtained and the charge and spin densities are evaluated for different times. In one dimension the charge and spin-wave packets propagate with different velocities. The results are interpreted in terms of the Bethe-ansatz solution. In two dimensions the effect of charge and spin separation is not clearly observed, probably because of the small size of the system.

Physical review. B, Condensed matter•Mar 1, 1993•42 citations
Spin–charge separation is considered to be one of the key properties that distinguish low-dimensional electron systems from others. Three-dimensional correlated electron systems are described by the Fermi liquid theory. There, low-energy excitations (quasiparticles) are reminiscent of noninteracting electrons: They carry charges −e and spins 1/2. It is believed that for any one-dimensional correlated electron system, low-lying electron excitations carry either only spin and no charge, or only charge without spin. That is why recent experiments looked for such low-lying collective electron excitations, one of which carries only spin, and the other carries only charge. Here we show that despite the fact that for exactly solvable one-dimensional correlated electron models there exist excitations which carry only spin and only charge, in all these models with short-range interactions the low-energy physics is described by low-lying collective excitations, one of which carries both spin and charge.
We study numerically the charge and spin separation in low-dimensional systems with local interactions. We consider finite Hubbard systems in one and two dimensions and calculate the ground state. An electron is added to the system in a spatially localized state. The time evolution of this state is obtained and the charge and spin densities are evaluated for different times. In one dimension the charge and spin-wave packets propagate with different velocities. The results are interpreted in terms of the Bethe-ansatz solution. In two dimensions the effect of charge and spin separation is not clearly observed, probably because of the small size of the system.