Phys. Rev. B 38, 866 (1988)

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Hole dynamics in the two-dimensional strong-coupling Hubbard Hamiltonian

Efthimios Kaxiras

IBM Research Division, Thomas J. Watson Research Center, Yorktown Heights, New York 10598

Efstratios Manousakis

Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306

The effective Hamiltonian, obtained from the Hubbard model in the strong-coupling limit, is diagonalized exactly for a periodic two-dimensional square lattice of ten sites. We obtain the ground state of the system for any filling of the lattice and the k-space excitation spectrum for a single hole. Within our finite-size system, it is found that for very small coupling ratio t/U, each hole creates a local ferromagnetic environment at least of the size of our system, whereas for increasing t/U, the holes tend to form clusters, induced by antiferromagnetic spin correlations. A range of t/U exists for which pairing of the holes may be possible.

©1988 The American Physical Society.

PACS: 75.10.Jm 74.20.-z

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