On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors
We discuss a formalism that allows for the calculation of a higher-harmonic-current response to a strong applied electric field for disordered superconducting systems described on the basis of tight-binding models with on- and/or intersite interactions. The theory is based on an expansion of the den...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Condensed Matter |
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| Online Access: | https://www.mdpi.com/2410-3896/8/4/95 |
| _version_ | 1797381518428995584 |
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| author | Götz Seibold |
| author_facet | Götz Seibold |
| author_sort | Götz Seibold |
| collection | DOAJ |
| description | We discuss a formalism that allows for the calculation of a higher-harmonic-current response to a strong applied electric field for disordered superconducting systems described on the basis of tight-binding models with on- and/or intersite interactions. The theory is based on an expansion of the density matrix in powers of the field amplitudes, where we solve the equation of motion for the individual components. This allows the evaluation of higher-order response functions on significantly larger lattices than one can achieve with a previously used approach, which is based on a direct temporal integration of the equation of motion for the complete density matrix. In the case of small lattices, where both methods can be applied by including also the contribution of collective modes, we demonstrate the agreement of the corresponding results. |
| first_indexed | 2024-03-08T20:52:44Z |
| format | Article |
| id | doaj.art-6afaebb7261740ebb52dced2e7c4feb0 |
| institution | Directory Open Access Journal |
| issn | 2410-3896 |
| language | English |
| last_indexed | 2024-03-08T20:52:44Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Condensed Matter |
| spelling | doaj.art-6afaebb7261740ebb52dced2e7c4feb02023-12-22T14:01:27ZengMDPI AGCondensed Matter2410-38962023-11-01849510.3390/condmat8040095On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered SuperconductorsGötz Seibold0Institut für Physik, BTU Cottbus-Senftenberg, D-03013 Cottbus, GermanyWe discuss a formalism that allows for the calculation of a higher-harmonic-current response to a strong applied electric field for disordered superconducting systems described on the basis of tight-binding models with on- and/or intersite interactions. The theory is based on an expansion of the density matrix in powers of the field amplitudes, where we solve the equation of motion for the individual components. This allows the evaluation of higher-order response functions on significantly larger lattices than one can achieve with a previously used approach, which is based on a direct temporal integration of the equation of motion for the complete density matrix. In the case of small lattices, where both methods can be applied by including also the contribution of collective modes, we demonstrate the agreement of the corresponding results.https://www.mdpi.com/2410-3896/8/4/95superconductivitythird-harmonic generationdisorder |
| spellingShingle | Götz Seibold On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors Condensed Matter superconductivity third-harmonic generation disorder |
| title | On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors |
| title_full | On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors |
| title_fullStr | On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors |
| title_full_unstemmed | On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors |
| title_short | On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors |
| title_sort | on the evaluation of higher harmonic current responses for high field spectroscopies in disordered superconductors |
| topic | superconductivity third-harmonic generation disorder |
| url | https://www.mdpi.com/2410-3896/8/4/95 |
| work_keys_str_mv | AT gotzseibold ontheevaluationofhigherharmoniccurrentresponsesforhighfieldspectroscopiesindisorderedsuperconductors |