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	~~The '~~'~~'Thouless energy''' is~~ a ~~characteristic energy scale of diffusive disordered~~ [~~[conductor (material)\|conductors]~~]. It is ~~defined by~~ <~~math~~>~~E_T = \hbar D /L^2~~<~~/math~~>, ~~where D~~ is ~~the diffusion constant~~ and L the ~~size~~ of the ~~system~~, and ~~thereby inversely proportional to the diffusion time~~ <~~math~~>~~t_D = L^2/D~~<~~/math~~> ~~through~~ the ~~system~~.

	~~It was first introduced~~ by the ~~Scottish-American physicist [[David J~~. ~~Thouless]] when studying [[Anderson localization]]~~
	,<~~ref~~>J. T. ~~Edwards and D~~. J. ~~Thouless, "Numerical studies~~ of ~~localization in disordered systems~~," ''J. ~~Phys~~. ~~C: Solid State Phys.'' '''5'''~~, ~~807~~ (~~1972~~), ~~[http://iopscience~~.~~iop~~.~~org/0022~~-~~3719/5/8/007/ ] {{doi\|10.1088/0022-3719/5/8/007}}.</ref>~~
	~~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~~.
	<~~ref~~>~~A. Altland~~, Y. ~~Gefen~~, and G. ~~Montambaux~~, ~~"What~~ is the ~~Thouless Energy for Ballistic Systems?"~~, ~~''Physical Review Letters'' '''76''', 1130 (1996), [http:/~~/~~link~~.~~aps~~.~~org/doi/10~~.~~1103/PhysRevLett~~.76.~~1130 ] {{doi\|10~~.~~1103/PhysRevLett~~.~~76.1130}}~~.~~</ref>~~

	~~==References==~~
	~~{{Reflist}}~~

	~~[[Category:Mesoscopic physics]]~~
	~~[[Category:Condensed matter physics]]~~


	~~{{phys-stub}}~~

en>R'n'B: Fix links to disambiguation page Mapping

2011-09-12T18:08:08Z

Fix links to disambiguation page Mapping

New page

{{Context|date=October 2009}}

The '''Thouless energy''' is a characteristic energy scale of diffusive disordered [[conductor (material)|conductors]]. It is defined by <math>E_T = \hbar D /L^2</math>, where D is the diffusion constant and L the size of the system, and thereby inversely proportional to the diffusion time <math>t_D = L^2/D</math> through the system.

It was first introduced by the Scottish-American physicist [[David J. Thouless]] when studying [[Anderson localization]]
,<ref>J. T. Edwards and D. J. Thouless, "Numerical studies of localization in disordered systems," ''J. Phys. C: Solid State Phys.'' '''5''', 807 (1972), [http://iopscience.iop.org/0022-3719/5/8/007/ ] {{doi|10.1088/0022-3719/5/8/007}}.</ref>
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.
<ref>A. Altland, Y. Gefen, and G. Montambaux, "What is the Thouless Energy for Ballistic Systems?", ''Physical Review Letters'' '''76''', 1130 (1996), [http://link.aps.org/doi/10.1103/PhysRevLett.76.1130 ] {{doi|10.1103/PhysRevLett.76.1130}}.</ref>

==References==
{{Reflist}}

[[Category:Mesoscopic physics]]
[[Category:Condensed matter physics]]

{{phys-stub}}

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en>Yobot: Tagging, added orphan tag using AWB (10458)

en>R'n'B: Fix links to disambiguation page Mapping