{"paper":{"title":"Dispersion relation and spectral function of an impurity in a one-dimensional quantum liquid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Austen Lamacraft","submitted_at":"2008-10-22T21:02:56Z","abstract_excerpt":"We consider the motion of an impurity particle in a general one-dimensional quantum fluid at zero temperature. The dispersion relation $\\Omega(P)$ of the impurity is strongly affected by interactions with the fluid as the momentum approaches $\\pm\\pi\\hbar n, \\pm 3\\pi\\hbar n, ...$, where $n$ is the density. This behavior is caused by singular $\\pm 2\\pi\\hbar n$ scattering processes and can be understood by analogy to the Kondo effect, both at strong and weak coupling, with the possibility of a quantum phase transition where $\\Omega'(\\pm \\pi n)$ jumps to zero with increasing coupling. The low ener"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.4163","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}