Anomalous Lifetime of Quasiparticles in Fermi Liquids as a Precursor of the Density-Wave Instability
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| Format: | Preprint |
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2024
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| author | Seydi, Iran Abedinpour, Saeed H. Asgari, Reza Tanatar, B. |
| author_facet | Seydi, Iran Abedinpour, Saeed H. Asgari, Reza Tanatar, B. |
| contents | We analytically study the inelastic lifetime of quasiparticles due to particle-particle interactions in a three-dimensional Fermi liquid approaching a density-wave instability. Using the G$_0$W approximation, we find that the softening of the dielectric function significantly enhances the quasiparticle decay rate near the instability. While the zero-temperature quasiparticle lifetime at the Fermi surface generally follows a $|\varepsilon_k-\varepsilon_{\rm F}|^{-α}$ divergence with $α=2$, we observe $α=0.5$ at the instability point and $α=1$ within the density-wave phase. Moreover, we demonstrate that the renormalization constant $Z$ is substantially suppressed as the instability is approached, enhancing the effective mass. We extend our analysis to ultra-cold Rydberg-dressed Fermi liquids, where the soft-core interactions promote density-wave instability, and find that our numerical G$_0$W results are in excellent agreement with our analytic predictions for quasiparticle lifetime, renormalization constant, and effective mass. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_06116 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anomalous Lifetime of Quasiparticles in Fermi Liquids as a Precursor of the Density-Wave Instability Seydi, Iran Abedinpour, Saeed H. Asgari, Reza Tanatar, B. Strongly Correlated Electrons Quantum Gases We analytically study the inelastic lifetime of quasiparticles due to particle-particle interactions in a three-dimensional Fermi liquid approaching a density-wave instability. Using the G$_0$W approximation, we find that the softening of the dielectric function significantly enhances the quasiparticle decay rate near the instability. While the zero-temperature quasiparticle lifetime at the Fermi surface generally follows a $|\varepsilon_k-\varepsilon_{\rm F}|^{-α}$ divergence with $α=2$, we observe $α=0.5$ at the instability point and $α=1$ within the density-wave phase. Moreover, we demonstrate that the renormalization constant $Z$ is substantially suppressed as the instability is approached, enhancing the effective mass. We extend our analysis to ultra-cold Rydberg-dressed Fermi liquids, where the soft-core interactions promote density-wave instability, and find that our numerical G$_0$W results are in excellent agreement with our analytic predictions for quasiparticle lifetime, renormalization constant, and effective mass. |
| title | Anomalous Lifetime of Quasiparticles in Fermi Liquids as a Precursor of the Density-Wave Instability |
| topic | Strongly Correlated Electrons Quantum Gases |
| url | https://arxiv.org/abs/2408.06116 |