Toward 2D Fermi-Hubbard Quantum Simulation with and Oxide Nanoelectronic Platform*

The interface of LaAlO₃/SrTiO₃ supports a 2D electron gas [1] that can be further reconfigured into nanostructures, using conductive AFM lithography [2]. The density of nanostructures (~2 nm) is comparable to the mean electron separation, giving rise to the idea that this platform could be used for quantum simulation of 2D Fermi-Hubbard problems. Here we describe efforts to create various 2D lattice structures, and investigate their properties at low temperatures and high magnetic fields.

[1] A. Ohtomo and H. Y. Hwang, Nature 427, 423 (2004).
[2] C. Cen, et al., Nature Materials 7, 298 (2008).