Thermal transport across a Josephson junction in a dissipative environment
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910375887241216 |
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| author | Yamamoto, Tsuyoshi Glazman, Leonid I. Houzet, Manuel |
| author_facet | Yamamoto, Tsuyoshi Glazman, Leonid I. Houzet, Manuel |
| contents | At zero temperature, a Josephson junction coupled to an ohmic environment displays a quantum phase transition between superconducting and insulating phases, depending whether the resistance of the environment is below or above the resistance quantum. At finite temperature, this so-called Schmid transition turns into a crossover. We determine the conditions under which the temperature dependence of the thermal conductance, which characterizes heat flow from a hot to cold resistor across the Josephson junction, displays universal scaling characteristic of the Schmid transition. We also discuss conditions for heat rectification to happen in the circuit. Our work can serve as a guide for identifying signatures of the Schmid transition in heat transport experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13552 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thermal transport across a Josephson junction in a dissipative environment Yamamoto, Tsuyoshi Glazman, Leonid I. Houzet, Manuel Superconductivity Mesoscale and Nanoscale Physics At zero temperature, a Josephson junction coupled to an ohmic environment displays a quantum phase transition between superconducting and insulating phases, depending whether the resistance of the environment is below or above the resistance quantum. At finite temperature, this so-called Schmid transition turns into a crossover. We determine the conditions under which the temperature dependence of the thermal conductance, which characterizes heat flow from a hot to cold resistor across the Josephson junction, displays universal scaling characteristic of the Schmid transition. We also discuss conditions for heat rectification to happen in the circuit. Our work can serve as a guide for identifying signatures of the Schmid transition in heat transport experiments. |
| title | Thermal transport across a Josephson junction in a dissipative environment |
| topic | Superconductivity Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2403.13552 |