Linear-in-temperature resistivity and Planckian dissipation arise in a stochastic quantization model of Cooper pairs

Xiao-Song Wang

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arXiv · 2403.09710

Linear-in-temperature resistivity and Planckian dissipation arise in a stochastic quantization model of Cooper pairs

Xiao-Song Wang

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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.

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Xiao-Song Wang. 2024-03-10. Linear-in-temperature resistivity and Planckian dissipation arise in a stochastic quantization model of Cooper pairs. https://arxiv.org/abs/2403.09710

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