Dephasing of ballistic electrons as a function of temperature and carrier density

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Abstract
Dephasing of ballistic electrons is measured as a function of both temperature and Fermi energy in a high-mobility two-dimensional electron gas. We find a qualitative agreement between the measured phase-breaking length and the theoretical prediction for the electron-electron scattering length using the value of EF measured with large-area Hall bars. A good quantitative agreement is obtained when a local value of EF, measured via on-chip magnetic focusing, is used. The good agreement between the measured phase-breaking length and the theoretical electron-electron scattering length strongly suggests that these two quantities are the same in the ballistic regime.