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

Artikel i vetenskaplig tidskrift
Författare Stellan Östlund
Publicerad i Physical Review B
Volym 71
Sidor 165121
ISSN 1098-0121
Publiceringsår 2005
Publicerad vid Institutionen för fysik (GU)
Sidor 165121
Språk en
Ämnesord superconductivity, Mott transition
Ämneskategorier Den kondenserade materiens fysik, Supraledning

Sammanfattning

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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