Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-12-26
Phys. Rev. B 83 161104(R) (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 4 figures, accepted at Phys. Rev. B (RC)
Scientific paper
10.1103/PhysRevB.83.161104
Current widely-used approaches to calculate spectral functions using the density-matrix renormalization group in frequency space either necessarily include an artificial broadening (correction-vector method) or have limited resolution (time-domain density-matrix renormalization group with Fourier transform method). Here we propose an adaptive Lanczos-vector method to calculate the coefficients of a continued fraction expansion of the spectral function iteratively. We show that one can obtain a very accurate representation of the spectral function very efficiently, and that one can also directly extract the spectral weights and poles for the discrete system. As a test case, we study spinless fermions in one dimension and compare our approach to the correction vector method.
Dargel Piet E.
Honecker Andreas
Noack Reinhard M.
Peters Randall
Pruschke Th.
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