Matrix-product-state-based band-Lanczos solver for quantum cluster approaches

ORAL

Abstract

In this talk we present a matrix-product-states-based band-Lanczos method as a cluster solver. We introduce and motivate different convergence criteria and discuss their impact on the stability of the results at the example of the variational cluster approximation. In order to increase the stability a continuous energy truncation is included. The capabilities of this method to calculate the self-energy functional are demonstrated for Hubbard-like models on different cluster geometries.

*We thank the Grand Equipement National de Calcul Intensif for providing supercomputing time at IDRIS and TGCC (Project No. A0090912043). We also acknowledge a mobility grant of the Franco-Bavarian University cooperation centre (BayFrance). Furthermore funding through the ERC Starting Grant from the European Union's Horizon 2020 research and innovation programme under grant agreement No 758935 is greatfully acknowledged. Support by the DFG research unit FOR1807 at an early stage of this work is acknowledged.

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Presenters

  • Thomas Köhler

    • Uppsala University
    • Department of Physics and Astronomy, Uppsala University

Authors

  • Sebastian Paeckel

    • Ludwig-Maximilians-Universitaet (LMU-Mun
    • Arnold Sommerfeld Center of Theoretical Physics, Department of Physics, University of Munich

  • Thomas Köhler

    • Uppsala University
    • Department of Physics and Astronomy, Uppsala University

  • Salvatore R Manmana

    • University of Gottingen

  • Benjamin Lenz

    • Sorbonne University