Investigating Energy Scales of Fractional Quantum Hall States using Scanning Gate Microscopy
Abstract
We use the voltage biased tip of a scanning force microscope at a temperature of 35\,mK to locally induce the fractional quantum Hall state of =1/3 in a split-gate defined constriction. Different tip positions allow us to vary the potential landscape. From temperature dependence of the conductance plateau at G=1/3 × e2/h we determine the activation energy of this local =1/3 state. We find that at a magnetic field of 6\,T the activation energy is between 153\,μeV and 194\,μeV independent of the shape of the confining potential, but about 50\% lower than for bulk samples.
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