Resistivity of non-Galilean invariant two dimensional Dirac system
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915289946390528 |
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| author | Kovalev, V. M. Entin, M. V. Kvon, Z. D. Levin, A. D. Chitta, V. A. Gusev, G. M. Mikhailov, N. N. |
| author_facet | Kovalev, V. M. Entin, M. V. Kvon, Z. D. Levin, A. D. Chitta, V. A. Gusev, G. M. Mikhailov, N. N. |
| contents | We revisited the influence of electron-electron scattering on the resistivity of a two-dimensional system with linear spectrum. In conventional systems with parabolic spectrum, where Umklapp scattering is either prohibited or ineffective due to small Fermi surface, particle-particle scattering does not contribute to conductivity because it does not change the total momentum. However, within the framework of Boltzmann kinetic model, we demonstrate that electron-electron scattering in Dirac systems can significantly contribute to conductivity, producing distinct temperature-dependent corrections: a T\textsuperscript{4} behavior at low temperatures and T\textsuperscript{2} dependence at moderate temperatures. While the predicted T\textsuperscript{4} scaling is not observed experimentally -- likely suppressed by dominant weak localization effects -- the T\textsuperscript{2} scaling is clearly confirmed in our measurements. Specifically, temperature-dependent resistivity data from gapless single-valley HgTe quantum well exhibit T\textsuperscript{2} corrections, which align well with theoretical predictions. Thus, we challenge the paradigm that T\textsuperscript{2} term in resistivity is absent in single-band 2D metals. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_11272 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resistivity of non-Galilean invariant two dimensional Dirac system Kovalev, V. M. Entin, M. V. Kvon, Z. D. Levin, A. D. Chitta, V. A. Gusev, G. M. Mikhailov, N. N. Mesoscale and Nanoscale Physics We revisited the influence of electron-electron scattering on the resistivity of a two-dimensional system with linear spectrum. In conventional systems with parabolic spectrum, where Umklapp scattering is either prohibited or ineffective due to small Fermi surface, particle-particle scattering does not contribute to conductivity because it does not change the total momentum. However, within the framework of Boltzmann kinetic model, we demonstrate that electron-electron scattering in Dirac systems can significantly contribute to conductivity, producing distinct temperature-dependent corrections: a T\textsuperscript{4} behavior at low temperatures and T\textsuperscript{2} dependence at moderate temperatures. While the predicted T\textsuperscript{4} scaling is not observed experimentally -- likely suppressed by dominant weak localization effects -- the T\textsuperscript{2} scaling is clearly confirmed in our measurements. Specifically, temperature-dependent resistivity data from gapless single-valley HgTe quantum well exhibit T\textsuperscript{2} corrections, which align well with theoretical predictions. Thus, we challenge the paradigm that T\textsuperscript{2} term in resistivity is absent in single-band 2D metals. |
| title | Resistivity of non-Galilean invariant two dimensional Dirac system |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2505.11272 |