Computer renormalization-group technique applied to the Hubbard model

Abstract

We present a computer renormalization-group technique of value in solving Hamiltonians which may be expressed in site-interactive forms of short range. The technique delivers the eigenfunctions and eigenvalues in a finite energy range about the highest occupied energy level for a finite chain or cluster. With the method, the Hubbard Hamiltonian is solved up to 16 sites, and the thermodynamical quantities and $2k_F$ density autocorrelation function are computed.