Linear-in-temperature resistivity and Planckian dissipation arise in a stochastic quantization model of Cooper pairs
Abstract
We suppose that a Cooper pair (CP) will experience a damping force exerted by the condensed matter. A Langevin equation of a CP in two dimensional condensed matter is established. Following a method similar to Nelson's stochastic mechanics, generalized Schr\"{o}dinger equation of a CP in condensed matter is derived. If the CPs move with a constant velocity, then the corresponding direct current (DC) electrical conductivity can be calculated. Therefore, a Drude like formula of resistivity of CPs is derived. We suppose that the damping coefficient of CPs in two dimensional cuprate superconductors is a linear function of temperature. Then the resistivity and scattering rate of CPs turn out to be also linear-in-temperature. The origin of linear-in-temperature resistivity and Planckian dissipation in cuprate superconductors may be the linear temperature dependence of the damping coefficient of CPs.
Keywords
Cite
@article{arxiv.2403.09710,
title = {Linear-in-temperature resistivity and Planckian dissipation arise in a stochastic quantization model of Cooper pairs},
author = {Xiao-Song Wang},
journal= {arXiv preprint arXiv:2403.09710},
year = {2024}
}
Comments
10 pages, 0 figures, Latex