6533b861fe1ef96bd12c4484

RESEARCH PRODUCT

Phase diagram of the quarter-filled extended Hubbard model on a two-leg ladder

Matthias VojtaA. HübschReinhard M. Noack

subject

Density matrixPhysicsStrongly Correlated Electrons (cond-mat.str-el)Hubbard modelCondensed matter physicsFOS: Physical sciences02 engineering and technology021001 nanoscience & nanotechnology01 natural sciencesSpin chainsymbols.namesakeCondensed Matter - Strongly Correlated ElectronsHomogeneous0103 physical sciencessymbolsStrongly correlated materialCondensed Matter::Strongly Correlated Electrons010306 general physics0210 nano-technologyGround stateHamiltonian (quantum mechanics)Phase diagram

description

We investigate the ground-state phase diagram of the quarter-filled Hubbard ladder with nearest-neighbor Coulomb repulsion V using the Density Matrix Renormalization Group technique. The ground-state is homogeneous at small V, a ``checkerboard'' charge--ordered insulator at large V and not too small on-site Coulomb repulsion U, and is phase-separated for moderate or large V and small U. The zero-temperature transition between the homogeneous and the charge-ordered phase is found to be second order. In both the homogeneous and the charge-ordered phases the existence of a spin gap mainly depends on the ratio of interchain to intrachain hopping. In the second part of the paper, we construct an effective Hamiltonian for the spin degrees of freedom in the strong-coupling charge-ordered regime which maps the system onto a frustrated spin chain. The opening of a spin gap is thus connected with spontaneous dimerization.

10.1103/physrevb.63.045105http://arxiv.org/abs/cond-mat/0008068