Diversity of charge orderings in correlated systems

Abstract

The phenomenon associated with inhomogeneous distribution of electron density is known as a charge ordering. In this work, we study the zero-bandwidth limit of the extended Hubbard model, which can be considered as a simple effective model of charge ordered insulators. It consists of the on-site interaction $U$ and the intersite density-density interactions $W_1$ and $W_2$ between nearest-neighbors and next-nearest neighbors, respectively. We derived the exact ground state diagrams for different lattice dimensionalities and discuss effects of small finite temperatures in the limit of high dimensions. In particular, we estimated the critical interactions for which new ordered phases emerge (laminar or stripe and four-sublattice-type). Our analysis show that the ground state of the model is highly degenerated. One of the most intriguing finding is that the nonzero temperature removes these degenerations.

arXiv comment13 pages, 8 figures, ReVTex, submitted to Physical Review E

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• Extended Falicov-Kimball model: exact solution for the ground state
• Pseudotransitions in a dilute Ising chain
• Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
• Electronic transport through correlated electron systems with nonhomogeneous charge orderings
• Charge-order on the triangular lattice: Effects of next-nearest-neighbor attraction in finite temperatures
• Thermal algebraic-decay charge liquid driven by competing short-range Coulomb repulsion
• Magnetic and charge orders on the triangular lattice: Extended Hubbard model with intersite Ising-like magnetic interactions in the atomic limit