A gauge invariant theory for time dependent heat current
In this work, we develop a general gauge-invariant theory for AC heat current through multi-probe systems. Using the non-equilibrium Green’s function, a general expression for time-dependent electrothermal admittance is obtained where we include the internal potential due to the Coulomb interaction...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2015-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/17/5/053034 |
| _version_ | 1797751222046818304 |
|---|---|
| author | Jian Chen Minhui ShangGuan Jian Wang |
| author_facet | Jian Chen Minhui ShangGuan Jian Wang |
| author_sort | Jian Chen |
| collection | DOAJ |
| description | In this work, we develop a general gauge-invariant theory for AC heat current through multi-probe systems. Using the non-equilibrium Green’s function, a general expression for time-dependent electrothermal admittance is obtained where we include the internal potential due to the Coulomb interaction explicitly. We show that the gauge-invariant condition is satisfied for heat current if the self-consistent Coulomb interaction is considered. It is known that the Onsager relation holds for dynamic charge conductance. We show in this work that the Onsager relation for electrothermal admittance is violated, except for a special case of a quantum dot system with a single energy level. We apply our theory to a nano capacitor where the Coulomb interaction plays an essential role. We find that, to the first order in frequency, the heat current is related to the electrochemical capacitance as well as the phase accumulated in the scattering event. |
| first_indexed | 2024-03-12T16:44:21Z |
| format | Article |
| id | doaj.art-4ba4404e9db640fdbf35c9bb9aae1150 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:44:21Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-4ba4404e9db640fdbf35c9bb9aae11502023-08-08T14:16:58ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117505303410.1088/1367-2630/17/5/053034A gauge invariant theory for time dependent heat currentJian Chen0Minhui ShangGuan1Jian Wang2Department of Physics and Center of Theoretical and Computational Physics, University of Hong Kong , Pokfulam Road, Hong Kong, People's Republic of ChinaDepartment of Physics and Center of Theoretical and Computational Physics, University of Hong Kong , Pokfulam Road, Hong Kong, People's Republic of ChinaDepartment of Physics and Center of Theoretical and Computational Physics, University of Hong Kong , Pokfulam Road, Hong Kong, People's Republic of China; The University of Hong Kong Shenzhen Institute of Research and Innovation , Shenzhen, People's Republic of ChinaIn this work, we develop a general gauge-invariant theory for AC heat current through multi-probe systems. Using the non-equilibrium Green’s function, a general expression for time-dependent electrothermal admittance is obtained where we include the internal potential due to the Coulomb interaction explicitly. We show that the gauge-invariant condition is satisfied for heat current if the self-consistent Coulomb interaction is considered. It is known that the Onsager relation holds for dynamic charge conductance. We show in this work that the Onsager relation for electrothermal admittance is violated, except for a special case of a quantum dot system with a single energy level. We apply our theory to a nano capacitor where the Coulomb interaction plays an essential role. We find that, to the first order in frequency, the heat current is related to the electrochemical capacitance as well as the phase accumulated in the scattering event.https://doi.org/10.1088/1367-2630/17/5/053034heat currentnano capacitorCoulomb interaction |
| spellingShingle | Jian Chen Minhui ShangGuan Jian Wang A gauge invariant theory for time dependent heat current New Journal of Physics heat current nano capacitor Coulomb interaction |
| title | A gauge invariant theory for time dependent heat current |
| title_full | A gauge invariant theory for time dependent heat current |
| title_fullStr | A gauge invariant theory for time dependent heat current |
| title_full_unstemmed | A gauge invariant theory for time dependent heat current |
| title_short | A gauge invariant theory for time dependent heat current |
| title_sort | gauge invariant theory for time dependent heat current |
| topic | heat current nano capacitor Coulomb interaction |
| url | https://doi.org/10.1088/1367-2630/17/5/053034 |
| work_keys_str_mv | AT jianchen agaugeinvarianttheoryfortimedependentheatcurrent AT minhuishangguan agaugeinvarianttheoryfortimedependentheatcurrent AT jianwang agaugeinvarianttheoryfortimedependentheatcurrent AT jianchen gaugeinvarianttheoryfortimedependentheatcurrent AT minhuishangguan gaugeinvarianttheoryfortimedependentheatcurrent AT jianwang gaugeinvarianttheoryfortimedependentheatcurrent |