Timeline for Topological term under electron-electron interaction
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5 events
| when toggle format | what | by | license | comment | |
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| Apr 14, 2015 at 15:57 | comment | added | qc2014 | @Meng Cheng Thanks for providing me the clue, Meng. I think I have found one myself. link. They do apply Ward Identity which is valid under electron-electron interaction. But I am still little confused in their way of calculating current-current correlation function. It seems like they 'dress' both vertices. As far as I know, the Kubo formula in the interaction case only dress one vertex. But maybe that is an unrelated problem. | |
| Apr 14, 2015 at 14:28 | comment | added | Meng Cheng | For the case of Hall conductivity, you can prove that diagrammatically using Ward identity. Let me see whether I can find a reference.... | |
| Apr 14, 2015 at 14:26 | comment | added | qc2014 | @Meng Cheng Thanks! I know this argument. But is there any proof or explanation from Feynmann diagram point of view? | |
| Apr 14, 2015 at 14:15 | comment | added | Meng Cheng | The coefficient of these terms must be quantized(usually by gauge invariance). So imagine there is some correction from electron-electron interaction, as long as the gap is maintained, the coefficient must change continuously, so it just stays the same unless a phase transition takes place. | |
| Apr 14, 2015 at 13:41 | history | asked | qc2014 | CC BY-SA 3.0 |