A hybrid approach to Fermi operator expansion

Details A hybrid approach to Fermi operator expansion A hybrid approach to Fermi operator expansion

2008-09-12

arxiv.org/abs/0809.2232v1

CMSE, Vol. 2, AIP Conf. Proc. 1148, 658 (2009)

Physics

Condensed Matter

Materials Science

preprint of ICCMSE08 proceedings

Scientific paper

10.1063/1.3225396

In a recent paper we have suggested that the finite temperature density matrix can be computed efficiently by a combination of polynomial expansion and iterative inversion techniques. We present here significant improvements over this scheme. The original complex-valued formalism is turned into a purely real one. In addition, we use Chebyshev polynomials expansion and fast summation techniques. This drastically reduces the scaling of the algorithm with the width of the Hamiltonian spectrum, which is now of the order of the cubic root of such parameter. This makes our method very competitive for applications to ab-initio simulations, when high energy resolution is required.

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