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| Natura: | Preprint |
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2024
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| Accesso online: | https://arxiv.org/abs/2411.15916 |
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| _version_ | 1866916494108000256 |
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| author | Kukkonen, Carl A. |
| author_facet | Kukkonen, Carl A. |
| contents | Superconductivity and the normal state electrical resistivity which varies as $T^2$ are strongly enhanced near the compressibility and charge density wave instabilities in the electron-positive fermion gas. The additional screening from the positive fermions introduces an attractive term in the effective electron-electron interaction that is the basis for superconductivity. Electron-positive fermion scattering is the source of the $T^2$ term in the electrical resistivity. At an instability, both interactions are divergent.
The superconducting transition temperature is estimated using the McMillan formula. The electron-positive fermion gas conducts electricity and heat. Because electron-electron and positive fermion-positive fermion scattering conserve momentum, they do not contribute to the electrical resistivity, but electron-positive fermion scattering does. All three scattering mechanisms contribute to the thermal resistivity.
The simple model for the electron-positive fermion gas is physically intuitive and naturally introduces instabilities at $q=0$ when the bulk modulus becomes zero and charge density waves at finite $q$ under some circumstances. For each mass ratio $M/m$, there is a unique density $r_s$ where the energy is a minimum. For different mass ratios, the interactions are investigated at several values of $r_s$ ranging from below the energy minimum to that of the instability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15916 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Charge density waves and superconductivity in the electron-positive fermion gas using a simple intuitive model. Part II: Collective modes, effective interactions, superconductivity, and transport Kukkonen, Carl A. Superconductivity 81 Superconductivity and the normal state electrical resistivity which varies as $T^2$ are strongly enhanced near the compressibility and charge density wave instabilities in the electron-positive fermion gas. The additional screening from the positive fermions introduces an attractive term in the effective electron-electron interaction that is the basis for superconductivity. Electron-positive fermion scattering is the source of the $T^2$ term in the electrical resistivity. At an instability, both interactions are divergent. The superconducting transition temperature is estimated using the McMillan formula. The electron-positive fermion gas conducts electricity and heat. Because electron-electron and positive fermion-positive fermion scattering conserve momentum, they do not contribute to the electrical resistivity, but electron-positive fermion scattering does. All three scattering mechanisms contribute to the thermal resistivity. The simple model for the electron-positive fermion gas is physically intuitive and naturally introduces instabilities at $q=0$ when the bulk modulus becomes zero and charge density waves at finite $q$ under some circumstances. For each mass ratio $M/m$, there is a unique density $r_s$ where the energy is a minimum. For different mass ratios, the interactions are investigated at several values of $r_s$ ranging from below the energy minimum to that of the instability. |
| title | Charge density waves and superconductivity in the electron-positive fermion gas using a simple intuitive model. Part II: Collective modes, effective interactions, superconductivity, and transport |
| topic | Superconductivity 81 |
| url | https://arxiv.org/abs/2411.15916 |