About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Paper
Hole dynamics in the two-dimensional strong-coupling Hubbard Hamiltonian
Abstract
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 tU, each hole creates a local ferromagnetic environment at least of the size of our system, whereas for increasing tU, the holes tend to form clusters, induced by antiferromagnetic spin correlations. A range of tU exists for which pairing of the holes may be possible. © 1988 The American Physical Society.