Fluctuating charge density waves in the Hubbard model

Abstract

The charge susceptibility of the two-dimensional repulsive Hubbard model is investigated using the diagram technique developed for the case of strong correlations. In this technique, a power series in the hopping constant is used. It is shown that once the Fermi level crosses one of the Hubbard subbands a sharp peak appears in the momentum dependence of the static susceptibility. With further departure from half-filling the peak transforms to a ridge around the $\Gamma$ point. In the considered range $0\leq|1-\bar{n}|\alt 0.2$ of the electron filling $\bar{n}$ the static susceptibility is finite which points to the absence of the long-range charge ordering. However, for $|1-\bar{n}|\approx 0.12$ the susceptibility maxima are located halfway between the center and the boundaries of the Brillouin zone. In this case an interaction of carriers with tetragonal distortions can stabilize the charge density wave with the wavelength of four lattice spacings, as observed experimentally in the low-temperature tetragonal phase of lanthanum cuprates. In the range of parameters inherent in cuprate perovskites the character of the susceptibility evolution with $\bar{n}$ depends only weakly on the ratio of the nearest-neighbor hopping constant to the Hubbard repulsion and on details of the initial band structure. The location of the susceptibility maxima in the Brillouin zone is mainly determined by the value of $\bar{n}$.

8 pages, 4 figures

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• Influence of spin and charge fluctuations on spectra of the two-dimensional Hubbard model
• Itinerant and local-moment magnetism in strongly correlated electron systems
• The Mott transition in the strong coupling perturbation theory
• Doping and temperature dependence of the pseudogap and Fermi arcs in cuprates from $d$-CDW short-range fluctuations in the context of the t-J model
• Magnetic properties and temperature variation of spectra in the Hubbard model
• Magnetic incommensurability in $p$-type cuprate perovskites
• Continuum of many-particle states near the metal-insulator transition in the Hubbard model
• Negative electron compressibility in the Hubbard Model
• Spin and charge fluctuations in the Hubbard model
• Phase separation and pairing fluctuations in oxide materials
• Phonon-assisted phase separation in strongly correlated systems