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arXiv · 1603.03567

Investigating Energy Scales of Fractional Quantum Hall States using Scanning Gate Microscopy

Beat A. Braem·Tobias Krähenmann·Szymon Hennel·Christian Reichl·Werner Wegscheider·Klaus Ensslin·Thomas Ihn
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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 $\nu=1/3$ in a split-gate defined constriction. Different tip positions allow us to vary the potential landscape. From temperature dependence of the conductance plateau at $G=1/3 \times e^2/h$ we determine the activation energy of this local $\nu=1/3$ state. We find that at a magnetic field of 6\,T the activation energy is between 153\,$\mu$eV and 194\,$\mu$eV independent of the shape of the confining potential, but about 50\% lower than for bulk samples.

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Beat A. Braem, Tobias Krähenmann, Szymon Hennel, Christian Reichl, Werner Wegscheider, Klaus Ensslin, Thomas Ihn. 2016-03-11. Investigating Energy Scales of Fractional Quantum Hall States using Scanning Gate Microscopy. https://doi.org/10.1103/physrevb.93.115442

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