Umklapp frustration and field-theoretic approach to superconductivity
Abstract
The formula of Gell-Mann and Low can be applied to both the Stark effect and superconductivity. The standard version of the field-theoretic approach fits the Stark effect, because in this version electrons have identical initial and end states, so that the energy of each and every electron orbit acquires a shift in the same direction. A preliminary alternative version of the field-theoretic approach is introduced, in which the electrons have different initial and end states, to accommodate superconductivity. Consequently the energy of the electrons acquires a random shift, which will cancel macroscopically, unless the electrons are paired. It also becomes apparent that superconductivity is frustrated when normal and umklapp scattering coexist.
Keywords
Cite
@article{arxiv.cond-mat/0508372,
title = {Umklapp frustration and field-theoretic approach to superconductivity},
author = {XH Zheng and DG Walmsley},
journal= {arXiv preprint arXiv:cond-mat/0508372},
year = {2007}
}
Comments
8 pages, 1 figure