https://doi.org/10.1007/s100510050459
Interaction versus dimerization in one-dimensional Fermi systems*
Institut für Physik, Universität Augsburg, 86135 Augsburg,
Germany
Corresponding author: a cosima.schuster@physik.Uni-Augsburg.DE
Received:
11
February
1998
Revised:
1
April
1998
Accepted:
30
April
1998
Published online: 15 October 1998
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 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.
PACS: 71.10.-w – Theories and models of many electron systems / 75.10.Jm – Quantized spin models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
