Topological Aspects of High Temperature Superconductivity and Berry Phase

Details Topological Aspects of High Temperature Superconductivity and Berry Phase Topological Aspects of High Temperature Superconductivity and Berry Phase

2003-05-29

arxiv.org/abs/cond-mat/0305676v1

Published in the book "Superconductivity Research at the Leading Edge",pp-59 (2004), Ed. Paul S. Lewis, Nova Science Publisher

Physics

Condensed Matter

Superconductivity

18 pages

Scientific paper

We propose a mechanism of high temperature superconductivity from the viewpoint of chirality and Berry phase. It is observed that spin pairing and charge pairing is caused by a gauge force generated by magnetic flux quanta attached to them. From the renormalization group equation involving the Berry phase factor $\mu$ it is found that there are two crossovers above the superconducting temperature $T_c$, one corresponds to the glass phase and the other represents the spin gap phase. Actually, in this topological framework each charge carrier is dressed with a magnetic flux quantum and represents a skyrmion. The skyrmion-skyrmion bound state leads to the d-wave Cooper pair formation. We have also discussed the Magnus force acting on the vortices of this system.

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