Anomalous Lifetime of Quasiparticles in Fermi Liquids as a Precursor of the Density-Wave Instability
| Autor: | Seydi, Iran, Abedinpour, Saeed H., Asgari, Reza, Tanatar, B. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $|\varepsilon_k-\varepsilon_{\rm F}|^{-\alpha}$ divergence with $\alpha=2$, we observe $\alpha=0.5$ at the instability point and $\alpha=1$ 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. Comment: 5.5 pages, 4 figures (Supplemental: 3.5 pages, 1 figure); Submitted |
| Databáze: | arXiv |
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