Numerical Study of the Extended Fermi-Hubbard Model Simulated in a Lattice of Quantum Dots

ORAL

Abstract

The extended Fermi-Hubbard model has recently been realized in an artificial lattice of dopant-based quantum dots in silicon [1]. It is shown that parameters such as the nearest-neighbor hopping amplitude and local as well as long-range interactions can be effectively tuned using controlled placement of dopant atoms with atomic-scale precision. Access to low temperatures, the permanent nature of array systems, and the availability of measurement tools in a condensed matter setting make them an exciting new class of engineered artificial lattices to simulate Fermi-Hubbard models. In this talk, I will discuss the numerical results for charge stability diagrams and low-temperature transport properties of 3x3 arrays used to verify the experimental observation of the finite-size analogue of a Mott insulating to metallic transition.

*E.K. is supported by the National Science Foundation under Grant No. DMR-1918572.

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Publication: [1] Wang et al., arXiv:2110.08982 (2021)

Presenters

  • Ehsan Khatami

    • San Jose
    • San Jose State University

Authors

  • Ehsan Khatami

    • San Jose
    • San Jose State University

  • Xiqiao Wang

    • University of Maryland, College Park
    • National Institute of Standards and Technology
    • National Institute of Standards and Technology, JQI

  • Fan Fei

    • University of Maryland, College Park
    • National Institute of Standards and Technology, University of Maryland

  • Jonathan Wyrick

    • National Institute of Standards and Tech
    • National Institute of Standards and Technology

  • Pradeep Namboodiri

    • National Institute of Standards and Technology

  • ranjit V Kashid

    • National Institute of Standards and Technology

  • Albert F Rigosi

    • National Institute of Standards and Technology
    • National Institute of Standards and Tech

  • Garnett W Bryant

    • National Institute of Standards and Technology
    • National Institute of Standards and Tech
    • National Institute of Standards and Technology, JQI

  • Richard M Silver

    • National Institute of Standards and Technology