Resonant thermal Hall effect of phonons coupled to dynamical defects
We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon–defect coupling is proportional to the phonon lifetime a...
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| Published in | Proceedings of the National Academy of Sciences - PNAS Vol. 119; no. 46; pp. 1 - 7 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
National Academy of Sciences
15.11.2022
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0027-8424 1091-6490 1091-6490 |
| DOI | 10.1073/pnas.2215141119 |
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| Abstract | We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon–defect coupling is proportional to the phonon lifetime and has a “side-jump” interpretation. Consequently, the thermal Hall angle is independent of the phonon lifetime. The contribution to the thermal Hall coefficient is at resonance when the phonon energy equals a defect-level spacing. Our results are obtained for three different defect models, which apply to different correlated electron materials. For the pseudogap regime of the cuprates, we propose a model of phonons coupled to an impurity quantum spin in the presence of quasistaticmagnetic order with an isotropic Zeeman coupling to the applied field and without spin–orbit interaction. |
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| AbstractList | We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon–defect coupling is proportional to the phonon lifetime and has a “side-jump” interpretation. Consequently, the thermal Hall angle is independent of the phonon lifetime. The contribution to the thermal Hall coefficient is at resonance when the phonon energy equals a defect-level spacing. Our results are obtained for three different defect models, which apply to different correlated electron materials. For the pseudogap regime of the cuprates, we propose a model of phonons coupled to an impurity quantum spin in the presence of quasistaticmagnetic order with an isotropic Zeeman coupling to the applied field and without spin–orbit interaction. We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon-defect coupling is proportional to the phonon lifetime and has a "side-jump" interpretation. Consequently, the thermal Hall angle is independent of the phonon lifetime. The contribution to the thermal Hall coefficient is at resonance when the phonon energy equals a defect-level spacing. Our results are obtained for three different defect models, which apply to different correlated electron materials. For the pseudogap regime of the cuprates, we propose a model of phonons coupled to an impurity quantum spin in the presence of quasistatic magnetic order with an isotropic Zeeman coupling to the applied field and without spin-orbit interaction. We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon-defect coupling is proportional to the phonon lifetime and has a "side-jump" interpretation. Consequently, the thermal Hall angle is independent of the phonon lifetime. The contribution to the thermal Hall coefficient is at resonance when the phonon energy equals a defect-level spacing. Our results are obtained for three different defect models, which apply to different correlated electron materials. For the pseudogap regime of the cuprates, we propose a model of phonons coupled to an impurity quantum spin in the presence of quasistatic magnetic order with an isotropic Zeeman coupling to the applied field and without spin-orbit interaction.We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon-defect coupling is proportional to the phonon lifetime and has a "side-jump" interpretation. Consequently, the thermal Hall angle is independent of the phonon lifetime. The contribution to the thermal Hall coefficient is at resonance when the phonon energy equals a defect-level spacing. Our results are obtained for three different defect models, which apply to different correlated electron materials. For the pseudogap regime of the cuprates, we propose a model of phonons coupled to an impurity quantum spin in the presence of quasistatic magnetic order with an isotropic Zeeman coupling to the applied field and without spin-orbit interaction. Modern quantum materials display numerous phases of electronic matter with many-particle quantum entanglement between the electrons. However, this entanglement is notoriously difficult to characterize experimentally. Recent experiments have shown that the thermal Hall effect (when in a magnetic field, there is heat flow in a direction transverse to a temperature gradient) is a sensitive probe of the many-electron quantum state. We propose that these observations detect the scattering of lattice vibrations (phonons) from electronic impurities and compute the influence of the electronic dynamics on the heat carried by the phonons. We also propose a specific mechanism for the thermal Hall effect in the “pseudogap” state of the cuprates, the entangled state that leads to high-temperature superconductivity at smaller electron density. We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon–defect coupling is proportional to the phonon lifetime and has a “side-jump” interpretation. Consequently, the thermal Hall angle is independent of the phonon lifetime. The contribution to the thermal Hall coefficient is at resonance when the phonon energy equals a defect-level spacing. Our results are obtained for three different defect models, which apply to different correlated electron materials. For the pseudogap regime of the cuprates, we propose a model of phonons coupled to an impurity quantum spin in the presence of quasistatic magnetic order with an isotropic Zeeman coupling to the applied field and without spin–orbit interaction. |
| Author | Guo, Haoyu Sachdev, Subir Joshi, Darshan G. |
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| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/36367907$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1103_PhysRevResearch_6_023328 crossref_primary_10_1103_PhysRevB_108_L241121 crossref_primary_10_1103_PhysRevB_109_104304 crossref_primary_10_1103_PhysRevB_110_L100301 crossref_primary_10_1103_PhysRevB_106_245139 crossref_primary_10_1103_PhysRevResearch_6_023044 crossref_primary_10_1103_PhysRevB_109_115113 crossref_primary_10_1016_j_physrep_2024_03_004 crossref_primary_10_1103_PhysRevLett_131_236301 crossref_primary_10_1038_s41467_024_47858_5 crossref_primary_10_1038_s41567_024_02384_5 crossref_primary_10_1038_s41467_023_36750_3 crossref_primary_10_1103_PhysRevB_109_184435 crossref_primary_10_1103_PhysRevB_107_054434 crossref_primary_10_1103_PhysRevB_110_045144 crossref_primary_10_1103_PhysRevResearch_5_033197 crossref_primary_10_1038_s41567_023_02288_w crossref_primary_10_1103_PhysRevB_107_184434 crossref_primary_10_1103_PhysRevB_107_L220406 crossref_primary_10_1073_pnas_2408546122 |
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| Keywords | thermal hall phonons cuprates dynamical defects |
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| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 Contributed by Subir Sachdev; received September 6, 2022; accepted October 7, 2022; reviewed by Lucile Savary and Louis Taillefer Author contributions: H.G., D.G.J., and S.S. designed research, performed research, and wrote the paper. |
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| Snippet | We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based... Modern quantum materials display numerous phases of electronic matter with many-particle quantum entanglement between the electrons. However, this entanglement... |
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| Title | Resonant thermal Hall effect of phonons coupled to dynamical defects |
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