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Properties of the spin 3/2 doped Mott insulator near half filling ,

Journal article
Authors Stellan Östlund
Published in Physical Review B
Volume 71
Pages 165121
ISSN 1098-0121
Publication year 2005
Published at Department of Physics (GU)
Pages 165121
Language en
Keywords superconductivity, Mott transition
Subject categories Condensed Matter Physics, Superconductivity

Abstract

We develop an exact generalized Bogoliubov transformation for the spin 3/2 Hubbard model with large anti-Hunds rule coupling near half filling. Since the transformation is unitary, we can employ standard approximate mean-field theory methods in the full Hilbert space to analyze the doped Mott insulator, in contrast to a conventional approach based on truncated Hilbert spaces complemented with hard core constraints. The ground state at exactly half filling is an insulating sMottd singlet, and according to our analysis an order parameter D, usually associated with extended s-wave superconductivity, will appear self-consistently as soon as a finite density n of holes is introduced. This is a consequence of the nonlinear nature of the unitary transformation mapping the Mott singlet state to a Fock vacuum which introduces anomalous terms such as Dn in the effective Hamiltonian. Our analysis uses an approach that generalizes readily to multiband Hubbard models and could provide a mechanism whereby a superconducting order parameter proportional to density develops in Mott insulators with locally entangled ground states. For more complicated systems, such an order parameter could coexist naturally with a variety of other order parameters.

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