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Adaptive Lanczos-vector method for dynamic properties within the density matrix renormalization group

P. E. Dargel, A. Honecker, R. Peters, R. M. Noack, and T. Pruschke
Phys. Rev. B 83, 161104(R) – Published 22 April 2011

Abstract

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), have limited resolution (time-domain density-matrix renormalization group with Fourier transform method), or are limited to low-energy properties or single dominant modes (original continued fraction 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.

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  • Received 9 December 2010

DOI:https://doi.org/10.1103/PhysRevB.83.161104

©2011 American Physical Society

Authors & Affiliations

P. E. Dargel1, A. Honecker1, R. Peters2, R. M. Noack3, and T. Pruschke1

  • 1Institut für Theoretische Physik, Georg-August-Universität Göttingen, D-37077 Göttingen, Germany
  • 2Department of Physics, Kyoto University, Kyoto 606-8502, Japan
  • 3Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany

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Issue

Vol. 83, Iss. 16 — 15 April 2011

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