Charge ordering and magnetism in quarter-filled Hubbard-Holstein model

Details Charge ordering and magnetism in quarter-filled Hubbard-Holstein model Charge ordering and magnetism in quarter-filled Hubbard-Holstein model

2008-05-23

arxiv.org/abs/0805.3635v1

Phys. Rev. B 78, 155123 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 5 figures

Scientific paper

10.1103/PhysRevB.78.155123

We study a two-dimensional Hubbard-Holstein model with phonons treated in the adiabatic limit. A Hartree-Fock decomposition is employed for the Hubbard term. A range of electronic densities are discussed with special emphasis on the quarter-filling ($n=0.5$). We argue that the quarter-filled system is relevant for the electronic properties observed at the interface between LaAlO$_3$ and SrTiO$_3$, where half-electron per unit cell is transferred to the TiO$_2$ layer as a consequence of the polar discontinuity at the interface. In addition to presenting the overall phase diagrams, we identify an interesting charge-ordered antiferromagnetic phase for $n=0.5$, which was also reported recently in the ab-initio study of the LaAlO$_3$-SrTiO$_3$ interface.

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