Dirac Impurity in a Luttinger liquid
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916222410424320 |
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| author | Gotta, Lorenzo Giamarchi, Thierry |
| author_facet | Gotta, Lorenzo Giamarchi, Thierry |
| contents | We consider a linearly-dispersing quantum impurity interacting through a contact density-density term with a one-dimensional (1D) superfluid described by the Tomonaga-Luttinger liquid theory. Using a linked cluster expansion we characterize the impurity dynamics by calculating approximate expressions for the single-particle Green's function and for the time evolution of the density profile. We show the existence of two different dynamical regimes: (i) a $\textit{quasiparticle}$ regime, dominated by the presence of a finite lifetime for the host impurity, and (ii) an $\textit{infrared-dominated}$ regime, where the impurity causes a Anderson's orthogonality catastrophe of the 1D bath. We discuss the possible experimental consequences of these findings for cold atoms experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16214 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dirac Impurity in a Luttinger liquid Gotta, Lorenzo Giamarchi, Thierry Strongly Correlated Electrons We consider a linearly-dispersing quantum impurity interacting through a contact density-density term with a one-dimensional (1D) superfluid described by the Tomonaga-Luttinger liquid theory. Using a linked cluster expansion we characterize the impurity dynamics by calculating approximate expressions for the single-particle Green's function and for the time evolution of the density profile. We show the existence of two different dynamical regimes: (i) a $\textit{quasiparticle}$ regime, dominated by the presence of a finite lifetime for the host impurity, and (ii) an $\textit{infrared-dominated}$ regime, where the impurity causes a Anderson's orthogonality catastrophe of the 1D bath. We discuss the possible experimental consequences of these findings for cold atoms experiments. |
| title | Dirac Impurity in a Luttinger liquid |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2404.16214 |