Metal-insulator transition and strong-coupling spin liquid in the $t{-}t^\prime$ Hubbard model

Details Metal-insulator transition and strong-coupling spin liquid in the $t{-}t^\prime$ Hubbard model Metal-insulator transition and strong-coupling spin liquid in the $t{-}t^\prime$ Hubbard model

2008-10-03

arxiv.org/abs/0810.0665v1

J. Phys.: Conf. Ser. 145, 012016 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, Proceedings of the HFM2008 Conference

Scientific paper

10.1088/1742-6596/145/1/012016

We study the phase diagram of the frustrated $t{-}t^\prime$ Hubbard model on the square lattice by using a novel variational wave function. Taking the clue from the backflow correlations that have been introduced long-time ago by Feynman and Cohen and have been used for describing various interacting systems on the continuum (like liquid $^3$He, the electron jellium, and metallic Hydrogen), we consider many-body correlations to construct a suitable approximation for the ground state of this correlated model on the lattice. In this way, a very accurate {\it ansatz} can be achieved both at weak and strong coupling. We present the evidence that an insulating and non-magnetic phase can be stabilized at strong coupling and sufficiently large frustrating ratio $t^\prime/t$.

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