Anomalous transport properties of the quantum Lorentz gas
1982
The two-scatter contribution to the Laplace transformed velocity autocorrelation function is investigated with the use of a double contour method which contains the microscopic information in terms of off-shell T-matrix elements. By analysing the full off-shell two-scatterer expression both analytically and numerically for a particular model we demonstrate explicitly that this contribution diverges logarithmically for a two-dimensional Lorentz gas, while it is finite for a three-dimensional system. The connection with the classical method of analysis is discussed.
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