Magnetic and Charge Correlations of the 2-dimensional $t-t^{\prime }-U$ Hubbard model

Abstract

Using a spin-rotation invariant six-slave boson representation, we study the square lattice Hubbard model with nearest-neighbor hopping $t$ and next-nearest neighbor hopping $t^{\prime }$. We discuss the influence of $t^{\prime }$ on the charge and magnetic properties. In the hole-doped domain, we find that a negative $t^{\prime }$ strongly favors itinerant ferromagnetism over any incommensurate phase, especially in the strong coupling regime. For positive $t^{\prime }$ magnetic fluctuations are suppressed. A tight connection between frustrated charge dynamics and large magnetic fluctuations is pointed out. A clear tendency towards striped charge ordering is found in the regime of large positive $t^{\prime }$.

14 pages, 5 figures

References in corpus (1)

• Non-perturbative approaches to magnetism in strongly correlated electron systems

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