Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

APS

Exact multielectronic ground-states for interacting disordered systems in two-dimensions.

Zsolt Gulácsi

Published Mar 1, 2004• 0 citations
OpenAlex

Related papers

Exact ground states of disordered systems

Jan Hermann Mienke

•Jan 1, 2002•0 citations

Exact multielectronic electron-concentration-dependent ground states for disordered two-dimensional two-band systems in the presence of disordered hoppings and finite on-site random interactions

Zsolt Gulácsi

We report exact multielectronic ground states dependent on electron concentration for quantum-mechanical two-dimensional disordered two-band-type many-body models in the presence of disordered hoppings and disordered repulsive finite Hubbard interactions, in fixed lattice topology considered provided by Bravais lattices. The obtained ground states lose their eigenfunction character for independent electron approximation, are perturbatively not connected to the noninteracting but disordered case, and describe a localization-delocalization transition driven by the electron concentration, being highly degenerated and paramagnetic.

arXiv:cond-mat/0311378•Physical Review B•Feb 18, 2004•26 citations

Electronic states in two-dimensional interacting systems

Жуков Леонид Евгеньевич

•Nov 1, 1998•0 citations

Exact ground state of a class of quantum spin systems

Ido Kanter

We present some exact results for the ground-state wave function and the energy of disordered quantum-mechanical spin systems in any dimensions. The system contains all nearest- and some of the next-nearest-neighbor interactions. The solution is also available for some range of anisotropy. In all the cases the ground-state wave function is insensitive to the disorder.

Physical review. B, Condensed matter•Apr 1, 1989•17 citations

Spin of a Multielectron Quantum Dot and Its Interaction with a Neighboring Electron

Filip K. Malinowski, Frederico Martins, Thomas B. Smith +8 more

We investigate the spin of a multielectron GaAs quantum dot in a sequence of nine charge occupancies, by exchange coupling the multielectron dot to a neighboring two-electron double quantum dot.For all nine occupancies, we make use of a leakage spectroscopy technique to reconstruct the spectrum of spin states in the vicinity of the interdot charge transition between a single-and a multielectron quantum dot.In the same regime we also perform time-resolved measurements of coherent exchange oscillations between the singleand multielectron quantum dot.With these measurements, we identify distinct characteristics of the multielectron spin state, depending on whether the dot's occupancy is even or odd.For three out of four even occupancies, we do not observe any exchange interaction with the single quantum dot, indicating a spin-0 ground state.For the one remaining even occupancy, we observe an exchange interaction that we associate with a spin-1 multielectron quantum dot ground state.For all five of the odd occupancies, we observe an exchange interaction associated with a spin-1=2 ground state.For three of these odd occupancies, we clearly demonstrate that the exchange interaction changes sign in the vicinity of the charge transition.For one of these, the exchange interaction is negative (i.e., triplet preferring) beyond the interdot charge transition, consistent with the observed spin-1 for the next (even) occupancy.Our experimental results are interpreted through the use of a Hubbard model involving two orbitals of the multielectron quantum dot.Allowing for the spin correlation energy (i.e., including a term favoring Hund's rules) and different tunnel coupling to different orbitals, we qualitatively reproduce the measured exchange profiles for all occupancies.

arXiv:1710.10012•Physical Review X•Mar 21, 2018•34 citations

Disordered non-interacting electronic systems near criticality in two dimensions

Shanthanu Bhardwaj

•Jan 1, 2015•0 citations
We report exact multielectronic ground states dependent on electron concentration for quantum-mechanical two-dimensional disordered two-band-type many-body models in the presence of disordered hoppings and disordered repulsive finite Hubbard interactions, in fixed lattice topology considered provided by Bravais lattices. The obtained ground states lose their eigenfunction character for independent electron approximation, are perturbatively not connected to the noninteracting but disordered case, and describe a localization-delocalization transition driven by the electron concentration, being highly degenerated and paramagnetic.
We investigate the spin of a multielectron GaAs quantum dot in a sequence of nine charge occupancies, by exchange coupling the multielectron dot to a neighboring two-electron double quantum dot.For all nine occupancies, we make use of a leakage spectroscopy technique to reconstruct the spectrum of spin states in the vicinity of the interdot charge transition between a single-and a multielectron quantum dot.In the same regime we also perform time-resolved measurements of coherent exchange oscillations between the singleand multielectron quantum dot.With these measurements, we identify distinct characteristics of the multielectron spin state, depending on whether the dot's occupancy is even or odd.For three out of four even occupancies, we do not observe any exchange interaction with the single quantum dot, indicating a spin-0 ground state.For the one remaining even occupancy, we observe an exchange interaction that we associate with a spin-1 multielectron quantum dot ground state.For all five of the odd occupancies, we observe an exchange interaction associated with a spin-1=2 ground state.For three of these odd occupancies, we clearly demonstrate that the exchange interaction changes sign in the vicinity of the charge transition.For one of these, the exchange interaction is negative (i.e., triplet preferring) beyond the interdot charge transition, consistent with the observed spin-1 for the next (even) occupancy.Our experimental results are interpreted through the use of a Hubbard model involving two orbitals of the multielectron quantum dot.Allowing for the spin correlation energy (i.e., including a term favoring Hund's rules) and different tunnel coupling to different orbitals, we qualitatively reproduce the measured exchange profiles for all occupancies.