Version 1
: Received: 1 March 2024 / Approved: 1 March 2024 / Online: 1 March 2024 (18:24:06 CET)
Version 2
: Received: 3 March 2024 / Approved: 4 March 2024 / Online: 4 March 2024 (19:11:10 CET)
How to cite:
Wang, X. Linear-in-Temperature Resistivity and Planckian Dissipation Arise in a Stochastic Quantization Model of Cooper Pairs. Preprints2024, 2024030062. https://doi.org/10.20944/preprints202403.0062.v2
Wang, X. Linear-in-Temperature Resistivity and Planckian Dissipation Arise in a Stochastic Quantization Model of Cooper Pairs. Preprints 2024, 2024030062. https://doi.org/10.20944/preprints202403.0062.v2
Wang, X. Linear-in-Temperature Resistivity and Planckian Dissipation Arise in a Stochastic Quantization Model of Cooper Pairs. Preprints2024, 2024030062. https://doi.org/10.20944/preprints202403.0062.v2
APA Style
Wang, X. (2024). Linear-in-Temperature Resistivity and Planckian Dissipation Arise in a Stochastic Quantization Model of Cooper Pairs. Preprints. https://doi.org/10.20944/preprints202403.0062.v2
Chicago/Turabian Style
Wang, X. 2024 "Linear-in-Temperature Resistivity and Planckian Dissipation Arise in a Stochastic Quantization Model of Cooper Pairs" Preprints. https://doi.org/10.20944/preprints202403.0062.v2
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
Planckian resistivity; Planckian dissipation; Cooper pair; strange metal; stochastic mechanics
Subject
Physical Sciences, Condensed Matter Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
