Journal article

Edge-State Wave Functions from Momentum-Conserving Tunneling Spectroscopy.

  • Patlatiuk T Departement Physik, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.
  • Scheller CP Departement Physik, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.
  • Hill D Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.
  • Tserkovnyak Y Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.
  • Egues JC Instituto de Física de São Carlos, Universidade de São Paulo, 13560-970 São Carlos, São Paulo, Brazil.
  • Barak G Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
  • Yacoby A Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
  • Pfeiffer LN Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA.
  • West KW Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA.
  • Zumbühl DM Departement Physik, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.
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  • 2020-09-10
Published in:
  • Physical review letters. - 2020
English We perform momentum-conserving tunneling spectroscopy using a GaAs cleaved-edge overgrowth quantum wire to investigate adjacent quantum Hall edge states. We use the lowest five wire modes with their distinct wave functions to probe each edge state and apply magnetic fields to modify the wave functions and their overlap. This reveals an intricate and rich tunneling conductance fan structure which is succinctly different for each of the wire modes. We self-consistently solve the Poisson-Schrödinger equations to simulate the spectroscopy, reproducing the striking fans in great detail, thus, confirming the calculations. Further, the model predicts hybridization between wire states and Landau levels, which is also confirmed experimentally. This establishes momentum-conserving tunneling spectroscopy as a powerful technique to probe edge state wave functions.
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  • English
Open access status
green
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https://susi.usi.ch/global/documents/273485
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