Metal-Insulator transition at finite T

Created about 5 years ago, updated 5 months ago

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## 2005 [Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states](https://arxiv.org/abs/cond-mat/0506617)
D.M. Basko, I.L. Aleiner, B.L. Altshuler

[Possible experimental manifestations of the many-body localization](https://arxiv.org/pdf/0704.1479.pdf)

- [on many-body localization](https://arxiv.org/pdf/cond-mat/0602510.pdf)

> **When phonons are the main source of inelastic scattering, the answer is given by Mott’s variable range hopping formula (Mott, 1968a)**

> do electron-hole pairs themselves provide a suitable bath in a localized system, thus validating Eq. (6)?
> The crucial point is that as long as electron-electron interaction is local in space (**here we do not consider long-range interactions**).....this problem which was first pointed out by Fleishman and Anderson (1980). The conclusion can be stated as follows: **electron-hole excitations can cause finite conductivity only if the temperature of the system exceeds some critical value**. At lower temperatures σ(T ) vanishes exactly



- https://www.lancaster.ac.uk/users/esqn/windsor10/lectures/Altshuler.pdf

https://www.lancaster.ac.uk/users/esqn/windsor10/programme.html

- https://www.lancaster.ac.uk/users/esqn/windsor12/lectures/Aleiner3-4.ppsx

## [Perturbation theory approaches to Anderson and Many-Body Localization: some lecture notes](https://arxiv.org/pdf/1710.01234.pdf)
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