Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 99: Poster Session: Transport

TT 99.5: Poster

Thursday, March 15, 2018, 15:00–19:00, Poster B

Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures — •André Erpenbeck¹, Christian Hertlein¹, Christian Schinabeck¹, and Michael Thoss^1,2 — ¹Theoretische Festkörperphysik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany — ²Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Freiburg, Germany

The hierarchical quantum master equation (HQME) approach, originally developed by Tanimura in the context of relaxation dynamics [1], has recently received renewed interest as an accurate method to describe quantum transport in interacting nanosystems [2-4]. Because the HQME approach relies on a decomposition of the bath correlation function in terms of exponentials, however, numerical complexity restricts its applicability to systems at higher temperatures coupled to leads with simple band structures. In this contribution, we outline an extension of the HQME approach, which uses a re-summation over poles and can be applied to calculate transient currents at a numerical cost that is independent of temperature and band structure of the leads. We demonstrate the performance of the extended HQME approach for noninteracting tight-binding model systems of increasing complexity as well as for the Anderson-Holstein model.
Tanimura, J. Phys. Soc. Jpn. 75, 082001 (2006)
Jin et al., JCP 128, 234703 (2008)
Härtle et al., PRB 88, 235426 (2013)
Schinabeck et al., PRB 94, 201407(R) (2016)