Emulating Fermi-Hubbard physics with quantum dots: from few to more and how to

Toivo Hensgens

Research output: ThesisDissertation (TU Delft)

22 Downloads (Pure)

Abstract

Interacting electrons on material lattices can build up strong quantum correlations, which in turn can lead to the emergence of a wide range of novel and potentially useful magnetic and electronic material properties. Our understanding of this physics, however, is severely limited by the exponential growth in complexity with system size, which leads all classical methods to fall fundamentally short. In this thesis, I show how artificial lattices of conduction band electrons in semiconductors, so-called quantum dot arrays, can be used to directly emulate and therefore elucidate such Fermi-Hubbard physics. To this end, I focus on two approaches. A top-down approach allows to scale easily, but lacks to ability to control or measure individual sites. A bottom-up approach on the other hand utilizes the small devices employed by the community for qubit experiments, in which the control of individual sites is both a blessing and a curse. We address the issue of control to the point where mapping to relevant models is possible and efficiently calibrating larger devices becomes feasible. These results open up the inherently well-suited and scalable platform of quantum dots to emulate novel quantum states of matter.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Delft University of Technology
Supervisors/Advisors
  • Vandersypen, L.M.K., Supervisor
Award date10 Jan 2018
Print ISBNs978-90-8593-331-1
DOIs
Publication statusPublished - 2018

Bibliographical note

Casimir PhD series 2017-47

Keywords

  • Fermi-Hubbard model
  • large quantum dot arrays
  • Coulomb blockade
  • Mott transition
  • classically intractable models

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