Effect of electron-electron interactions on critical exponents near the metal-insulator transition
- 1 July 1985
- journal article
- Published by Taylor & Francis in Philosophical Magazine Part B
- Vol. 52 (1) , L1-L8
- https://doi.org/10.1080/13642818508243155
Abstract
Electron-electron interactions are incorporated into the localization problem by treating them as a perturbation and the following points are shown. (i) If σ ' (n - n c)v and v = 1, then the single-particle density of states is given by N(0)∼(n - n c)η with eta; = 1. (ii) If Hartree terms dominate the electron-electron interaction, then v = 1/2. (iii) For v = 1/2 N(0) is non-critical, i.e. η = 0. (iv) A possible classification of the critical exponents of N(0) and σ near the localization transition is suggested in terms of the interplay between exchange and Hartree interactions.Keywords
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