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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Autor*in:	Götz Seibold [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	superconductivity third-harmonic generation disorder

Übergeordnetes Werk:	In: Condensed Matter - MDPI AG, 2017, 8(2023), 4, p 95
Übergeordnetes Werk:	volume:8 ; year:2023 ; number:4, p 95

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DOI / URN:	10.3390/condmat8040095

Katalog-ID:	DOAJ098890751

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allfields	10.3390/condmat8040095 doi (DE-627)DOAJ098890751 (DE-599)DOAJ6afaebb7261740ebb52dced2e7c4feb0 DE-627 ger DE-627 rakwb eng QC1-999 Götz Seibold verfasserin aut On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. superconductivity third-harmonic generation disorder Physics In Condensed Matter MDPI AG, 2017 8(2023), 4, p 95 (DE-627)873952502 (DE-600)2877004-3 24103896 nnns volume:8 year:2023 number:4, p 95 https://doi.org/10.3390/condmat8040095 kostenfrei https://doaj.org/article/6afaebb7261740ebb52dced2e7c4feb0 kostenfrei https://www.mdpi.com/2410-3896/8/4/95 kostenfrei https://doaj.org/toc/2410-3896 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2023 4, p 95
spelling	10.3390/condmat8040095 doi (DE-627)DOAJ098890751 (DE-599)DOAJ6afaebb7261740ebb52dced2e7c4feb0 DE-627 ger DE-627 rakwb eng QC1-999 Götz Seibold verfasserin aut On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. superconductivity third-harmonic generation disorder Physics In Condensed Matter MDPI AG, 2017 8(2023), 4, p 95 (DE-627)873952502 (DE-600)2877004-3 24103896 nnns volume:8 year:2023 number:4, p 95 https://doi.org/10.3390/condmat8040095 kostenfrei https://doaj.org/article/6afaebb7261740ebb52dced2e7c4feb0 kostenfrei https://www.mdpi.com/2410-3896/8/4/95 kostenfrei https://doaj.org/toc/2410-3896 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2023 4, p 95
allfields_unstemmed	10.3390/condmat8040095 doi (DE-627)DOAJ098890751 (DE-599)DOAJ6afaebb7261740ebb52dced2e7c4feb0 DE-627 ger DE-627 rakwb eng QC1-999 Götz Seibold verfasserin aut On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. superconductivity third-harmonic generation disorder Physics In Condensed Matter MDPI AG, 2017 8(2023), 4, p 95 (DE-627)873952502 (DE-600)2877004-3 24103896 nnns volume:8 year:2023 number:4, p 95 https://doi.org/10.3390/condmat8040095 kostenfrei https://doaj.org/article/6afaebb7261740ebb52dced2e7c4feb0 kostenfrei https://www.mdpi.com/2410-3896/8/4/95 kostenfrei https://doaj.org/toc/2410-3896 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2023 4, p 95
allfieldsGer	10.3390/condmat8040095 doi (DE-627)DOAJ098890751 (DE-599)DOAJ6afaebb7261740ebb52dced2e7c4feb0 DE-627 ger DE-627 rakwb eng QC1-999 Götz Seibold verfasserin aut On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. superconductivity third-harmonic generation disorder Physics In Condensed Matter MDPI AG, 2017 8(2023), 4, p 95 (DE-627)873952502 (DE-600)2877004-3 24103896 nnns volume:8 year:2023 number:4, p 95 https://doi.org/10.3390/condmat8040095 kostenfrei https://doaj.org/article/6afaebb7261740ebb52dced2e7c4feb0 kostenfrei https://www.mdpi.com/2410-3896/8/4/95 kostenfrei https://doaj.org/toc/2410-3896 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2023 4, p 95
allfieldsSound	10.3390/condmat8040095 doi (DE-627)DOAJ098890751 (DE-599)DOAJ6afaebb7261740ebb52dced2e7c4feb0 DE-627 ger DE-627 rakwb eng QC1-999 Götz Seibold verfasserin aut On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. superconductivity third-harmonic generation disorder Physics In Condensed Matter MDPI AG, 2017 8(2023), 4, p 95 (DE-627)873952502 (DE-600)2877004-3 24103896 nnns volume:8 year:2023 number:4, p 95 https://doi.org/10.3390/condmat8040095 kostenfrei https://doaj.org/article/6afaebb7261740ebb52dced2e7c4feb0 kostenfrei https://www.mdpi.com/2410-3896/8/4/95 kostenfrei https://doaj.org/toc/2410-3896 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2023 4, p 95
language	English
source	In Condensed Matter 8(2023), 4, p 95 volume:8 year:2023 number:4, p 95
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callnumber-first	Q - Science
author	Götz Seibold
spellingShingle	Götz Seibold misc QC1-999 misc superconductivity misc third-harmonic generation misc disorder misc Physics On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors
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topic_title	QC1-999 On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors superconductivity third-harmonic generation disorder
topic	misc QC1-999 misc superconductivity misc third-harmonic generation misc disorder misc Physics
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title	On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors
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title_full	On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors
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title_sort	on the evaluation of higher-harmonic-current responses for high-field spectroscopies in disordered superconductors
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title_auth	On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors
abstract	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.
abstractGer	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.
abstract_unstemmed	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.
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title_short	On the Evaluation of Higher-Harmonic-Current Responses for High-Field Spectroscopies in Disordered Superconductors
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