Thouless energy

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The Thouless energy is a characteristic energy scale of diffusive disordered conductors. It is defined by E_{T}=\hbar 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}=L^{2}/D through the system.

It was first introduced by the Scottish-American physicist David J. Thouless when studying Anderson localization ,[1] 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. [2]

References

  1. ↑ J. T. Edwards and D. J. Thouless, "Numerical studies of localization in disordered systems," J. Phys. C: Solid State Phys. 5, 807 (1972), doi:10.1088/0022-3719/5/8/007.
  2. ↑ A. Altland, Y. Gefen, and G. Montambaux, "What is the Thouless Energy for Ballistic Systems?", Physical Review Letters 76, 1130 (1996), doi:10.1103/PhysRevLett.76.1130.


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