Ionic liquid gating of SrTiO$_3$ lamellas fabricated with a focused ion beam

Evgeny Mikheev, 2 Tino Zimmerling, Amelia Estry, 3 Philip J. W. Moll, 3 and David Goldhaber-Gordon 2 Department of Physics, Stanford University, Stanford, CA, 94305, USA Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA Max-Planck-Institute for Chemical Physics of Solids, 01187 Dresden, Germany Laboratory of Quantum Materials (QMAT), Institute of Materials (IMX), École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland.