THE STAGGERED CHARGE-ORDER PHASE OF THE EXTENDED HUBBARD MODEL

Abstract

We study the phase diagram of the extended Hubbard model in the atomic limit. At zero temperature, the phase diagram decomposes into six regions: three with homogeneous phases (characterized by particle densities $\rho =0$, 1, and 2 and staggered charge density $\Delta =0$) and three with staggered phases (characterized by the densities $\rho =\frac{1}{2}$, 1, and $\frac{3}{2}$ and staggered densities $|\Delta |=\frac{1}{2}$, 1, and $\frac{1}{2}$). Here we use Pirogov-Sinai theory to analyze the details of the phase diagram of this model at low temperatures. In particular, we show that for any sufficiently low nonzero temperature the three staggered regions merge into one staggered region $S$, without any phase transitions (analytic free energy and staggered order parameter $\Delta$) within $S$.

19 pages, ams-tex, 2 Postscriptfigures

References in corpus (1)

• Correlated Electrons in High Temperature Superconductors

Cited by in corpus (11)

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• Charge orderings in the atomic limit of the extended Hubbard model
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• The effects of the next-nearest-neighbour density-density interaction in the atomic limit of the extended Hubbard model
• Quantum lattice models at intermediate temperatures
• Charge-Order on the Triangular Lattice: A Mean-Field Study for the Lattice $S=1/2$ Fermionic Gas
• Charge-order on the triangular lattice: Effects of next-nearest-neighbor attraction in finite temperatures
• Ground-state properties of multicomponent Falicov-Kimball-like models I
• Role of the attractive intersite interaction in the extended Hubbard model
• Magnetic and charge orders on the triangular lattice: Extended Hubbard model with intersite Ising-like magnetic interactions in the atomic limit
• Charge-Ordered States and the Phase Diagram of the Extended Hubbard Model on the Bethe lattice