Correlations in moiré heterostructures from atomistic modeling

ORAL

Abstract

Van-der-Waals moiré heterostructures have proven to be highly tunable materials that display a wide variety of anomalous and correlated states of matter (correlated insulators, superconductivity, nematicity). We present how several of these phenomenæ found in different graphene-based multilayer structures can be explained from tight-binding models on the Ångström scale using realistic interactions. We employ the random phase approximation in twisted bilayer graphene with and without Hartree interactions to describe correlated insulating states at integer fillings [1] and further use this method to propose ABC graphene twisted relative to another sheet of graphene as a highly tunable platform for correlated insulating and superconducting states. Functional renormalization group methods are used to characterize the magnetic phases in twisted bilayer graphene for realistic interaction profiles [2] and nematic orderings in twisted double bilayer graphene [3].

[1] Phys. Rev. B 100, 155145 (2019)
[2] Phys. Rev. B 102, 085109 (2020)
[3] arXiv:2009.11645 [cond-mat.str-el]

*DFG: RTG 1995, ML4Q EXC 2004/1 - 390534769.
Simulations: RWTH Aachen University under projects rwth0496 and rwth0589.

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Presenters

  • Lennart Klebl

    • RWTH Aachen University
    • Institute for Theory of Statistical Physics, RWTH Aachen University, and JARA Fundamentals of Future Information Technology, 52062 Aachen, Germany
    • Institute for Theory of Statistical Physics, Aachen University
    • RWTH Aachen
    • Institute for Theory of Statistical Physics, RWTH Aachen University

Authors

  • Lennart Klebl

    • RWTH Aachen University
    • Institute for Theory of Statistical Physics, RWTH Aachen University, and JARA Fundamentals of Future Information Technology, 52062 Aachen, Germany
    • Institute for Theory of Statistical Physics, Aachen University
    • RWTH Aachen
    • Institute for Theory of Statistical Physics, RWTH Aachen University

  • Zachary Goodwin

    • Imperial College London
    • Imperial College of London

  • Arash A Mostofi

    • Imperial College London
    • Departments of Materials and Physics, and the Thomas Young Centre for Theory and Simulation of Materials, Imperial College London

  • Johannes Lischner

    • Imperial College London

  • Carsten Honerkamp

    • RWTH Aachen University
    • Theoretical Solid State Physics, RWTH Aachen University and JARA-FIT
    • Institute for Theoretical Solid State Physics, RWTH Aachen University

  • Dante Kennes

    • Institut fur Theorie der Statistischen Physik, RWTH Aachen
    • RWTH Aachen University
    • Institut für Theorie der Statistischen Physik, RWTH Aachen University
    • Institute for Theory of Statistical Physics, Aachen University
    • RWTH Aachen
    • Aachen
    • Institute for Theory of Statistical Physics, RWTH Aachen University