Edge-State Wave Functions from Momentum-Conserving Tunneling Spectroscopy

T. Patlatiuk, C. P. Scheller, D. Hill, Y. Tserkovnyak, J. C. Egues, G. Barak, A. Yacoby, L. N. Pfeiffer, K. W. West, D. M. Zumbühl

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number087701
JournalPhysical review letters
Volume125
Issue number8
DOIs
StatePublished - Aug 21 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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