Phys. Rev. B 84, 161306(R) (2011) [4 pages]

Tunneling spectroscopy of disordered two-dimensional electron gas in the quantum Hall regime

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Gilad Barak1, Amir Yacoby1, and Yigal Meir2
1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
2Department of Physics, Ben Gurion University, Beer Sheva 84105, Israel

Received 13 July 2010; published 27 October 2011

The tunneling density of states (TDOS) into a disordered two-dimensional electron gas is calculated in the quantum Hall regime, including electron-electron interactions. Combining general arguments and a detailed Hartree-Fock calculation, it is demonstrated that the quenching of the kinetic energy by the applied magnetic field leads to several universal features, nearly independent of the disorder potential, corresponding to the addition and removal spectrum in the valleys and tips of the disorder potential. These features are manifested as “sashes” in the TDOS spectra, and are in quantitative agreement with recent measurements. It is predicted that more such features will become observable with decreasing potential fluctuations.

©2011 American Physical Society

73.43.Cd, 73.43.Jn