Comparing two different descriptions of the I-V characteristic of graphene: theory and experiment
The formalism of the nonperturbative description of transport phenomena in graphene in the framework of the quantum kinetic equation for the Schwinger-like process is compared with the description on the basis of Zener- Klein tunneling. The regime of ballistic conductivity in a constant electric fie...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2019-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2019/09/epjconf_ishepp2019_06008.pdf |
| _version_ | 1819143955828178944 |
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| author | Panferov Anatolii Smolyansky Stanislav Blaschke David Gevorgyan Narine |
| author_facet | Panferov Anatolii Smolyansky Stanislav Blaschke David Gevorgyan Narine |
| author_sort | Panferov Anatolii |
| collection | DOAJ |
| description | The formalism of the nonperturbative description of transport phenomena in graphene in the framework of the quantum kinetic equation for the Schwinger-like process is compared with the description on the basis of Zener- Klein tunneling. The regime of ballistic conductivity in a constant electric field is considered.
In the latter case the interaction of carriers with electric field is described in terms of the spatial dependence of their potential energy (x-representation). The presented kinetic formalism uses an alternative method of describing the interaction with a field through the introduction of a quasimomentum P = p – (e/c)A(t), where A(t) is the vector potential (t-representation). Both approaches should lead to the same physical characteristics of the described process.
The measurement of the current in experiments is realized in static conditions determined by the potential difference between the electrodes and the distance between them. These parameters are native for the x-representation. On the contrary, in the approach based on the t-representation it is necessary to consider the situation in dynamics and introduce the effective lifetime of the generated carriers. In the ballistic regime this time depends on the distance between the electrodes.
We give a detailed comparison of these two descriptions of the current and demonstrate a good coincidence with the experimental data of the alternative approach based on the t-representation. It provides a reliable foundation for the application of nonperturbative methods adopted from strong field QED, that allows one to include in the consideration more general models of the field (arbitrary polarization and time dependence) and extend the scope of the theory. |
| first_indexed | 2024-12-22T12:34:28Z |
| format | Article |
| id | doaj.art-4c83c1d22c074d21ac948ce3ef9ff169 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-22T12:34:28Z |
| publishDate | 2019-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-4c83c1d22c074d21ac948ce3ef9ff1692022-12-21T18:25:36ZengEDP SciencesEPJ Web of Conferences2100-014X2019-01-012040600810.1051/epjconf/201920406008epjconf_ishepp2019_06008Comparing two different descriptions of the I-V characteristic of graphene: theory and experimentPanferov Anatolii0Smolyansky StanislavBlaschke DavidGevorgyan Narine1Saratov State UniversityRussian-Armenian (Slavonic) UniversityThe formalism of the nonperturbative description of transport phenomena in graphene in the framework of the quantum kinetic equation for the Schwinger-like process is compared with the description on the basis of Zener- Klein tunneling. The regime of ballistic conductivity in a constant electric field is considered. In the latter case the interaction of carriers with electric field is described in terms of the spatial dependence of their potential energy (x-representation). The presented kinetic formalism uses an alternative method of describing the interaction with a field through the introduction of a quasimomentum P = p – (e/c)A(t), where A(t) is the vector potential (t-representation). Both approaches should lead to the same physical characteristics of the described process. The measurement of the current in experiments is realized in static conditions determined by the potential difference between the electrodes and the distance between them. These parameters are native for the x-representation. On the contrary, in the approach based on the t-representation it is necessary to consider the situation in dynamics and introduce the effective lifetime of the generated carriers. In the ballistic regime this time depends on the distance between the electrodes. We give a detailed comparison of these two descriptions of the current and demonstrate a good coincidence with the experimental data of the alternative approach based on the t-representation. It provides a reliable foundation for the application of nonperturbative methods adopted from strong field QED, that allows one to include in the consideration more general models of the field (arbitrary polarization and time dependence) and extend the scope of the theory.https://www.epj-conferences.org/articles/epjconf/pdf/2019/09/epjconf_ishepp2019_06008.pdf |
| spellingShingle | Panferov Anatolii Smolyansky Stanislav Blaschke David Gevorgyan Narine Comparing two different descriptions of the I-V characteristic of graphene: theory and experiment EPJ Web of Conferences |
| title | Comparing two different descriptions of the I-V characteristic of graphene: theory and experiment |
| title_full | Comparing two different descriptions of the I-V characteristic of graphene: theory and experiment |
| title_fullStr | Comparing two different descriptions of the I-V characteristic of graphene: theory and experiment |
| title_full_unstemmed | Comparing two different descriptions of the I-V characteristic of graphene: theory and experiment |
| title_short | Comparing two different descriptions of the I-V characteristic of graphene: theory and experiment |
| title_sort | comparing two different descriptions of the i v characteristic of graphene theory and experiment |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2019/09/epjconf_ishepp2019_06008.pdf |
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