Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 66: Poster Session Transport

TT 66.1: Poster

Donnerstag, 19. März 2020, 15:00–19:00, P2/EG

Simulating the nonequilibrium transport through quantum dots coupled to Holstein phonons using matrix-product states methods — •David Jansen and Fabian Heidrich-Meisner — Institut for Theoretical Physics, Georg-August-Universität Göttingen, D-37077 Göttingen, Germany

Molecular nano structures play an increasingly important role in every-day technology and the field has experienced enhanced experimental and theoretical interest [1]. To better understand the influence of electron-phonon interactions on such structures we investigate a system consisting of two metallic leads connected by a quantum dot with vibrational degrees of freedom. We use matrix-product states based techniques that are designed for an efficient treatment of phonons [2] to calculate transport properties of the system when a bias voltage is applied. We first show that our results agree with those of a functional RG calculation [3]. By diagonalizing the reduced density matrix of the quantum dot we are also able to identify the optimal modes of the system. We show that taking advantage of these modes has computational benefits for our system and we analyze how these optimal modes and their structure are changed by the voltage.
This research is supported by the Deutsche Forschungsgemeinschaft via SFB 1073 (project B09).

[1] M. Galperin et al., J. Phys.: Condens. Matter 19, 103201 (2007)

[2] C. Brockt et al., Phys. Rev. B 92, 241106(R) (2015)

[3] A. Khedri et al., Phys. Rev. B 98, 195138 (2018)

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