Optical signatures of shear collective modes in strongly interacting Fermi liquids
The concept of Fermi liquid lays a solid cornerstone to the understanding of electronic correlations in quantum matter. This ordered many-body state rigorously organizes electrons at zero temperature in progressively higher momentum states, up to the Fermi surface. As such, it displays rigidity agai...
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023076 |
| _version_ | 1797211094451748864 |
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| author | D. Valentinis |
| author_facet | D. Valentinis |
| author_sort | D. Valentinis |
| collection | DOAJ |
| description | The concept of Fermi liquid lays a solid cornerstone to the understanding of electronic correlations in quantum matter. This ordered many-body state rigorously organizes electrons at zero temperature in progressively higher momentum states, up to the Fermi surface. As such, it displays rigidity against perturbations. Such rigidity generates Fermi-surface resonances which manifest as longitudinal and transverse collective modes. Although these Fermi-liquid collective modes have been analyzed and observed in electrically neutral liquid helium, they remain unexplored in charged solid-state systems up to date. In this paper I analyze the transverse shear response of charged three-dimensional Fermi liquids as a function of temperature, excitation frequency and momentum, for interactions expressed in terms of the first symmetric Landau parameter. I consider the effect of momentum-conserving quasiparticle collisions and momentum-relaxing scattering in relaxation-time approximation on the coupling between photons and Fermi-surface collective modes, thus deriving the Fermi-liquid optical conductivity and dielectric function. In the high-frequency, long-wavelength excitation regime the electrodynamic response entails two coherent and frequency-degenerate polaritons, and its spatial nonlocality is encoded by a frequency- and interaction-dependent generalized shear modulus; in the opposite high-momentum low-frequency regime anomalous skin effect takes place. I identify observable signatures of propagating shear collective modes in optical spectroscopy experiments, with applications to the surface impedance and the optical transmission of thin films. |
| first_indexed | 2024-04-24T10:21:01Z |
| format | Article |
| id | doaj.art-e935ddaf422644b18e6af2bc8e7ea6ec |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:21:01Z |
| publishDate | 2021-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-e935ddaf422644b18e6af2bc8e7ea6ec2024-04-12T17:09:29ZengAmerican Physical SocietyPhysical Review Research2643-15642021-04-013202307610.1103/PhysRevResearch.3.023076Optical signatures of shear collective modes in strongly interacting Fermi liquidsD. ValentinisThe concept of Fermi liquid lays a solid cornerstone to the understanding of electronic correlations in quantum matter. This ordered many-body state rigorously organizes electrons at zero temperature in progressively higher momentum states, up to the Fermi surface. As such, it displays rigidity against perturbations. Such rigidity generates Fermi-surface resonances which manifest as longitudinal and transverse collective modes. Although these Fermi-liquid collective modes have been analyzed and observed in electrically neutral liquid helium, they remain unexplored in charged solid-state systems up to date. In this paper I analyze the transverse shear response of charged three-dimensional Fermi liquids as a function of temperature, excitation frequency and momentum, for interactions expressed in terms of the first symmetric Landau parameter. I consider the effect of momentum-conserving quasiparticle collisions and momentum-relaxing scattering in relaxation-time approximation on the coupling between photons and Fermi-surface collective modes, thus deriving the Fermi-liquid optical conductivity and dielectric function. In the high-frequency, long-wavelength excitation regime the electrodynamic response entails two coherent and frequency-degenerate polaritons, and its spatial nonlocality is encoded by a frequency- and interaction-dependent generalized shear modulus; in the opposite high-momentum low-frequency regime anomalous skin effect takes place. I identify observable signatures of propagating shear collective modes in optical spectroscopy experiments, with applications to the surface impedance and the optical transmission of thin films.http://doi.org/10.1103/PhysRevResearch.3.023076 |
| spellingShingle | D. Valentinis Optical signatures of shear collective modes in strongly interacting Fermi liquids Physical Review Research |
| title | Optical signatures of shear collective modes in strongly interacting Fermi liquids |
| title_full | Optical signatures of shear collective modes in strongly interacting Fermi liquids |
| title_fullStr | Optical signatures of shear collective modes in strongly interacting Fermi liquids |
| title_full_unstemmed | Optical signatures of shear collective modes in strongly interacting Fermi liquids |
| title_short | Optical signatures of shear collective modes in strongly interacting Fermi liquids |
| title_sort | optical signatures of shear collective modes in strongly interacting fermi liquids |
| url | http://doi.org/10.1103/PhysRevResearch.3.023076 |
| work_keys_str_mv | AT dvalentinis opticalsignaturesofshearcollectivemodesinstronglyinteractingfermiliquids |