Ab Initio Exact Diagonalization Simulation of the Nagaoka Transition in Quantum Dots

Research output: Contribution to journalJournal articlepeer-review

Documents

  • Yao Wang
  • Juan Pablo Dehollain
  • Fang Liu
  • Uditendu Mukhopadhyay
  • Mark Spencer Rudner
  • Lieven M. K. Vandersypen
  • Eugene Demler
Recent progress of quantum simulators provides insight into the fundamental problems of strongly correlated systems. To adequately assess the accuracy of these simulators, the precise modeling of the many-body physics, with accurate model parameters, is crucially important. In this paper, we employed an ab initio exact diagonalization framework to compute the correlated physics of a few electrons in artificial potentials. We apply this approach to a quantum-dot system and study the magnetism of the correlated electrons, obtaining good agreement with recent experimental measurements in a plaquette. Through control of dot potentials and separation, including geometric manipulation of tunneling, we examine the Nagaoka transition and determine the robustness of the ferromagnetic state. While the Nagaoka theorem considers only a single-band Hubbard model, in this work we perform extensive ab initio calculations that include realistic multiorbital conditions in which the level splitting is smaller than the interactions. This simulation complements the experiments and provides insight into the formation of ferromagnetism in correlated systems. More generally, our calculation sets the stage for further theoretical analysis of analog quantum simulators at a quantitative level.
Original languageEnglish
Article number155133
JournalPhysical Review B
Volume100
Number of pages14
ISSN2469-9950
DOIs
Publication statusPublished - Oct 2019

Bibliographical note

[Qdev]

Number of downloads are based on statistics from Google Scholar and www.ku.dk


No data available

ID: 229308733