1307.7542 (Medha Sharma et al.)

Organization of the Hilbert Space for Exact Diagonalization of Hubbard
Model    [PDF]

Medha Sharma, M. A. H. Ahsan

We present a technique to replace the widely used method of defining the basis of one-band Hubbard model through the relation: $I=I_{\uparrow}+2^{M}I_{\downarrow}$, where $I_{\uparrow}$, $I_{\downarrow}$ and $I$ are the integer equivalents of binary representations of occupation patterns of spin up electrons, spin down electrons and both spin up and spin down electrons respectively; $M$ being the number of sites. At a time only $I_{\uparrow}$ or $I_{\downarrow}$ is computed and stored to generate the Hamiltonian matrix using particle number conservation and z-projection of total conserved spin.

View original: http://arxiv.org/abs/1307.7542