Thouless energy

The Thouless energy is a characteristic energy scale of diffusive disordered conductors. It was first introduced by the Scottish-American physicist David J. Thouless when studying Anderson localization, as a measure of the sensitivity of energy levels to a change in the boundary conditions of the system. Though being a classical quantity, it has been shown to play an important role in the quantum-mechanical treatment of disordered systems.

It is defined by

$E_{\mathrm{T}}=\frac{\hslash D}{L^2}$,

where D is the diffusion constant and L the size of the system, and thereby inversely proportional to the diffusion time

$t_D=\frac{L^2}{D}$

through the system.

References

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