Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-08-06
Phys. Rev. Lett. 99, 016405 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 5 figures
Scientific paper
10.1103/PhysRevLett.99.016405
A practical experimental scheme for a quantum simulator of strongly correlated electrons is proposed. Our scheme employs electrons confined in a two dimensional electron gas in a GaAs/AlGaAs heterojunction. Two surface acoustic waves are then induced in the GaAs substrate, which create a two dimensional ``egg-carton'' potential. The dynamics of the electrons in this potential is described by a Hubbard model with long-range Coulomb interactions. The state of the electrons in this system can be probed via its conductance and noise properties. This allows the identification of a metallic or insulating state. Numerical estimates for the parameters appearing in the effective Hubbard model are calculated using the proposed experimental system. These calculations suggest that observations of quantum phase transition phenomena of the electrons in the potential array are within experimental reach.
Byrnes Tim
Kim Na Young
Recher Patrik
Utsunomiya Shoko
Yamamoto Yoshihisa
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