Download Electron–Electron Interactions in Disordered Systems by A.L. EFROS and M. POLLAK (Eds.) PDF

By A.L. EFROS and M. POLLAK (Eds.)

``Electron-Electron Interactions in Disordered Systems'' bargains with the interaction of sickness and the Coulomb interplay. renowned specialists supply state of the art stories of the theoretical and experimental paintings during this box and make it transparent that the interaction of the 2 results is vital, in particular in low-dimensional systems.

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Rowel 1969). These anomalies may be of two types, namely, the tunneling conductivity vs. voltage relation can have either a maximum or a minimum. The peak in the tunneling conductivity is usually attributed to scattering from magnetic impurities (Appelbaum 1966). As for the dip in the tunneling conductivity, it has not found explanation for a long time. The theory of the effect of electron-electron interaction on the density of states developed above provides an interpretation for this remarkable phenom­ enon (Altshuler and Aronov 1979a, c).

This quantity does not factorize when averaged over the random impurity potential. This results, in particular, in a contribution to the self-energy shown in fig. 7b. In contrast to the exchange contribution (fig. 7a), the expression for the Hartree correction contains an interaction potential with a momentum transfer of the order of p . L. G. Aronov 40 the Hartree correction to energy and, hence, to the density of states turns out to be small in the parameter κ/ρ . In direct electron interaction large momentum transfers are essential, the effective potential being independent of the momentum difference between two interacting electrons.

39) d=3. 40) where Q= —id/dr= p + p is the total momentum operator of two particles. According to the general rules of quantum mechanics, ρ - » ρ — (e/c)A(r) in a magnetic field with vector potential A(r), so that eq. 40) can be rewritten 2 l f t + (Q-^Af D + ±\c{r,r') = h(r-r')8(t-t'). L. G. 40a) coincides in form with the Schrodinger equation with imaginary time for a particle with charge 2e and mass 1 /2D. Since this mass is pi times smaller that the effective electron mass, the corresponding cyclotron frequency Ω = ADeH/ch will be pi times larger than that for the ordinary electron.

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