Edge-State Wave Functions from Momentum-Conserving Tunneling Spectroscopy
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 functio...
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| Veröffentlicht in: | Physical review letters 2020-08, Vol.125 (8), p.1-087701, Article 087701 |
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| container_title | Physical review letters |
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| creator | Patlatiuk, T. Scheller, C. P. Hill, D. Tserkovnyak, Y. Egues, J. C. Barak, G. Yacoby, A. Pfeiffer, L. N. West, K. W. Zumbühl, D. M. |
| description | 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. |
| doi_str_mv | 10.1103/PhysRevLett.125.087701 |
| format | Article |
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Further, the model predicts hybridization between wire states and Landau levels, which is also confirmed experimentally. 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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. 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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.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevLett.125.087701</doi><orcidid>https://orcid.org/0000-0001-5831-633X</orcidid><orcidid>https://orcid.org/0000-0003-0856-3599</orcidid></addata></record> |
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| subjects | Computer simulation Momentum Quantum wires Resistance Schrodinger equation Spectroscopy Spectrum analysis Wave functions |
| title | Edge-State Wave Functions from Momentum-Conserving Tunneling Spectroscopy |
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