Interaction versus dimerization in one-dimensional Fermi systems

Details Interaction versus dimerization in one-dimensional Fermi systems Interaction versus dimerization in one-dimensional Fermi systems

1998-04-29

arxiv.org/abs/cond-mat/9804309v1

Eur. Phys. J. B 5, 395-402 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

EPJ-style, 8 pages including 12 figures, to be published in EPJ B

Scientific paper

10.1007/s100510050459

In order to study the effect of interaction and lattice distortion on quantum coherence in one-dimensional Fermi systems, we calculate the ground state energy and the phase sensitivity of a ring of interacting spinless fermions on a dimerized lattice. Our numerical DMRG (Density Matrix Renormalization Group) studies, in which we keep up to 1000 states for systems of about 100 sites, are supplemented by analytical considerations using bosonization techniques. We find a delocalized phase for an attractive interaction, which differs from that obtained for random lattice distortions. The extension of this delocalized phase depends strongly on the dimerization induced modification of the interaction. Taking into account the harmonic lattice energy, we find a dimerized ground state for a repulsive interaction only. The dimerization is suppressed at half filling, when the correlation gap becomes large.

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