# Ab initio derivation of Hubbard models for cold atoms in optical lattices

@article{Walters2013AbID, title={Ab initio derivation of Hubbard models for cold atoms in optical lattices}, author={R. Walters and G. Cotugno and T. Johnson and S. R. Clark and D. Jaksch}, journal={Physical Review A}, year={2013}, volume={87}, pages={043613} }

We derive ab initio local Hubbard models for several optical lattice potentials of current interest, including the honeycomb and Kagom\'{e} lattices, verifying their accuracy on each occasion by comparing the interpolated band structures against the originals. To achieve this, we calculate the maximally-localized generalized Wannier basis by implementing the steepest-descent algorithm of Marzari and Vanderbilt [N. Marzari and D. Vanderbilt, Phys. Rev. B 56, 12847 (1997)] directly in one and two… CONTINUE READING

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