The ability to create and investigate composite fermionic phases opens new avenues for the investigation of strongly correlated quantum matter. We report the experimental observation of a series of quantized conductance steps within strongly interacting electron waveguides formed at the LaAlO3/SrTiO3 interface. The waveguide conductance follows a characteristic sequence within Pascal's triangle: (1,3,6,10,15,...)⋅e2/h, where e is the electron charge and h is the Planck constant. The robustness of these steps with respect to magnetic field and gate voltage indicate the formation of a new family of degenerate quantum liquids formed from bound states of n=2,3,4,... electrons. These experiments could provide solid-state analogues for a wide range of composite fermionic phases ranging from neutron stars to solid-state materials to quark-gluon plasmas.
@article{arxiv.1909.05698,
title = {Pascal conductance series in ballistic one-dimensional LaAlO$_3$/SrTiO$_3$ channels},
author = {Megan Briggeman and Michelle Tomczyk and Binbin Tian and Hyungwoo Lee and Jung-Woo Lee and Yuchi He and Anthony Tylan-Tyler and Mengchen Huang and Chang-Beom Eom and David Pekker and Roger S. K. Mong and Patrick Irvin and Jeremy Levy},
journal= {arXiv preprint arXiv:1909.05698},
year = {2020}
}