Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866917700985421824 |
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| author | Freire, Hermann Mandal, Ipsita |
| author_facet | Freire, Hermann Mandal, Ipsita |
| contents | We compute the thermoelectric and thermal transport in the weakly disordered non-Fermi liquid phase of the Luttinger semimetals at zero doping, where the decay rate associated with the (strong) Coulomb interactions is much larger than the electron-impurity scattering rate. To this end, we implement the Mori-Zwanzig memory matrix method, that does not rely on the existence of long-lived quasiparticles in the system. We find that the thermal conductivity at zero electric field scales as $\barκ\sim T^{-n}$ (with $0\lesssim n\lesssim 1)$ at low temperatures, whereas the thermoelectric coefficient has the temperature dependence given by $α\sim T^{p}$ (with $1/2\lesssim p\lesssim 3/2)$. These unconventional properties turn out to be key signatures of this long sought-after non-Fermi liquid state in the Luttinger semimetals, which is expected to emerge in strongly correlated spin-orbit coupled materials like the pyrochlore iridates. Finally, our results indicate that these materials might be good candidates for achieving high figure of merit for thermoelectric applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_07459 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals Freire, Hermann Mandal, Ipsita Strongly Correlated Electrons Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics High Energy Physics - Theory We compute the thermoelectric and thermal transport in the weakly disordered non-Fermi liquid phase of the Luttinger semimetals at zero doping, where the decay rate associated with the (strong) Coulomb interactions is much larger than the electron-impurity scattering rate. To this end, we implement the Mori-Zwanzig memory matrix method, that does not rely on the existence of long-lived quasiparticles in the system. We find that the thermal conductivity at zero electric field scales as $\barκ\sim T^{-n}$ (with $0\lesssim n\lesssim 1)$ at low temperatures, whereas the thermoelectric coefficient has the temperature dependence given by $α\sim T^{p}$ (with $1/2\lesssim p\lesssim 3/2)$. These unconventional properties turn out to be key signatures of this long sought-after non-Fermi liquid state in the Luttinger semimetals, which is expected to emerge in strongly correlated spin-orbit coupled materials like the pyrochlore iridates. Finally, our results indicate that these materials might be good candidates for achieving high figure of merit for thermoelectric applications. |
| title | Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2104.07459 |