Magnetoconductance of coupled ballistic nanowires on the LAO-STO interface

With the development of complex-oxide heterostructures and nanostructures, a nascent field of correlated nanoelectronics has emerged [1]. For example, quasi-1D structures drawn on the 2D LaAlO3/SrTiO3 interface using conductive atomic-force microscopy have been shown to exhibit quantized ballistic transport of electrons [2]. These correlated electron waveguides offer unique opportunities to investigate the rich physics that is predicted for 1D quantum systems. We have recently shown that when such nanowires are drawn close enough together, electrons can tunnel between wires. We study the transport properties of a system of coupled nanowires drawn on the LaAlO3/SrTiO3 interface as a function of transverse applied magnetic field. In this theoretical study, we create a framework to describe such structures quantum mechanically. We calculate the conductance of a pair of quantum wires as a function of an applied transverse magnetic field. While our system is motivated by interacting electron waveguides constructed on LaAlO3/SrTiO3 heterostructures, the model can be generalized to describe a larger family of such correlated nanoelectronic systems.

[1]APL Mater. 10, 110901 (2022)

[2]Nano Lett. 18, 7, 4473–4481 (2018)