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Experimental realization of an extended Fermi-Hubbard model using a 2D lattice of dopant-based quantum dots

Author

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  • Xiqiao Wang

    (National Institute of Standards and Technology
    University of Maryland
    Rigetti Computing)

  • Ehsan Khatami

    (San José State University)

  • Fan Fei

    (National Institute of Standards and Technology
    University of Maryland)

  • Jonathan Wyrick

    (National Institute of Standards and Technology)

  • Pradeep Namboodiri

    (National Institute of Standards and Technology)

  • Ranjit Kashid

    (National Institute of Standards and Technology
    Center for Materials for Electronics Technology)

  • Albert F. Rigosi

    (National Institute of Standards and Technology)

  • Garnett Bryant

    (National Institute of Standards and Technology
    University of Maryland)

  • Richard Silver

    (National Institute of Standards and Technology)

Abstract

The Hubbard model is an essential tool for understanding many-body physics in condensed matter systems. Artificial lattices of dopants in silicon are a promising method for the analog quantum simulation of extended Fermi-Hubbard Hamiltonians in the strong interaction regime. However, complex atom-based device fabrication requirements have meant emulating a tunable two-dimensional Fermi-Hubbard Hamiltonian in silicon has not been achieved. Here, we fabricate 3 × 3 arrays of single/few-dopant quantum dots with finite disorder and demonstrate tuning of the electron ensemble using gates and probe the many-body states using quantum transport measurements. By controlling the lattice constants, we tune the hopping amplitude and long-range interactions and observe the finite-size analogue of a transition from metallic to Mott insulating behavior. We simulate thermally activated hopping and Hubbard band formation using increased temperatures. As atomically precise fabrication continues to improve, these results enable a new class of engineered artificial lattices to simulate interactive fermionic models.

Suggested Citation

  • Xiqiao Wang & Ehsan Khatami & Fan Fei & Jonathan Wyrick & Pradeep Namboodiri & Ranjit Kashid & Albert F. Rigosi & Garnett Bryant & Richard Silver, 2022. "Experimental realization of an extended Fermi-Hubbard model using a 2D lattice of dopant-based quantum dots," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-34220-w
    DOI: 10.1038/s41467-022-34220-w
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    References listed on IDEAS

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    1. Y. He & S. K. Gorman & D. Keith & L. Kranz & J. G. Keizer & M. Y. Simmons, 2019. "A two-qubit gate between phosphorus donor electrons in silicon," Nature, Nature, vol. 571(7765), pages 371-375, July.
    2. M. Kiczynski & S. K. Gorman & H. Geng & M. B. Donnelly & Y. Chung & Y. He & J. G. Keizer & M. Y. Simmons, 2022. "Engineering topological states in atom-based semiconductor quantum dots," Nature, Nature, vol. 606(7915), pages 694-699, June.
    3. T. H. Oosterkamp & T. Fujisawa & W. G. van der Wiel & K. Ishibashi & R. V. Hijman & S. Tarucha & L. P. Kouwenhoven, 1998. "Microwave spectroscopy of a quantum-dot molecule," Nature, Nature, vol. 395(6705), pages 873-876, October.
    4. Yang Xu & Song Liu & Daniel A. Rhodes & Kenji Watanabe & Takashi Taniguchi & James Hone & Veit Elser & Kin Fai Mak & Jie Shan, 2020. "Correlated insulating states at fractional fillings of moiré superlattices," Nature, Nature, vol. 587(7833), pages 214-218, November.
    5. J. P. Dehollain & U. Mukhopadhyay & V. P. Michal & Y. Wang & B. Wunsch & C. Reichl & W. Wegscheider & M. S. Rudner & E. Demler & L. M. K. Vandersypen, 2020. "Nagaoka ferromagnetism observed in a quantum dot plaquette," Nature, Nature, vol. 579(7800), pages 528-533, March.
    6. T. Hensgens & T. Fujita & L. Janssen & Xiao Li & C. J. Van Diepen & C. Reichl & W. Wegscheider & S. Das Sarma & L. M. K. Vandersypen, 2017. "Quantum simulation of a Fermi–Hubbard model using a semiconductor quantum dot array," Nature, Nature, vol. 548(7665), pages 70-73, August.
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