Linear-in-temperature resistivity and Planckian dissipation arise in a stochastic quantization model of Cooper pairs
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910367869829120 |
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| author | Wang, Xiao-Song |
| author_facet | Wang, Xiao-Song |
| contents | 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 Schrödinger 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_09710 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear-in-temperature resistivity and Planckian dissipation arise in a stochastic quantization model of Cooper pairs Wang, Xiao-Song Superconductivity Strongly Correlated Electrons 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 Schrödinger 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. |
| title | Linear-in-temperature resistivity and Planckian dissipation arise in a stochastic quantization model of Cooper pairs |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2403.09710 |