Solving Dynamical Mean-Field Theory at very low temperature using Lanczos Exact Diagonalization

Details Solving Dynamical Mean-Field Theory at very low temperature using Lanczos Exact Diagonalization Solving Dynamical Mean-Field Theory at very low temperature using Lanczos Exact Diagonalization

2005-12-20

arxiv.org/abs/cond-mat/0512484v2

Phys. Rev. B 76, 245116 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 4 figures

Scientific paper

10.1103/PhysRevB.76.245116

We present an efficient method to solve the impurity Hamiltonians involved in Dynamical Mean-Field Theory at low but finite temperature, based on the extension of the Lanczos algorithm from ground state properties alone to excited states. We test the approach on the prototypical Hubbard model and find extremely accurate results from T=0 up to relatively high temperatures, up to the scale of the critical temperature for the Mott transition. The algorithm substantially decreases the computational effort involved in finite temperature calculations.

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