Berlin 2024 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 59: Transport: Poster

TT 59.10: Poster

Mittwoch, 20. März 2024, 15:00–18:00, Poster E

Quantum Monte Carlo simulations of electronic transport in finite-sized graphene sheets and its dependence on the boundary conditions. — •Adrien Reingruber, Maksim Ulybyshev, and Fakher Assaad — Institut für Theoretische Physik und Astrophysik, Universität Würzburg

The realization of ultra-clean graphene samples with predominant electron-electron scattering, opened the possibilities to study electron transport in hydrodynamic regime, where the electronic transport properties are characterized by viscous Poiseuille flow[1] or the breakdown of Wiedemann-Franz law[2]. Only recently these effects were measured experimentally. Furthermore, newly optimized quantum Monte Carlo (QMC) techniques[3] enable us to simulate experimentally relevant lattice sizes starting from microscopic models in order to reproduce and understand better the aforementioned effects. A major challenge is the implementation of correct boundary conditions that yield a vanishing current flow at the edge of finite-sized graphene samples. In this work we study the influence of disorder and various types of electronic interactions on the conductivity profiles inside thin graphene wires using unbiased QMC simulations and discuss the feasibility to achieve hydrodynamic transport from a microscopic perspective.

[1] M.J.H. Ku et al., Nature 583, 537 (2020)

[2] J. Crossno et al., Science 351, 1058 (2016)

[3] M. Ulybyshev, S. Zafeiropoulos, C. Winterowd, F. Assaad, arXiv:2104.09655 (2021)

Keywords: Electronic transport; Hydrodynamics; Graphene; Quantum Monte Carlo