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Heavy Particle in a d-dimensional Fermionic Bath: A Strong Coupling Approach

Achim Rosch·Thilo Kopp
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Abstract

We investigate the low temperature behavior of a heavy particle (mass $M$) in a fermionic bath. An effective action is considered which exactly implements the orthogonality catastrophe. It is equivalent to a model of local bosons coupling via a long-range interaction to the particle. The saddlepoint solution for the heavy particle propagator yields a finite quasiparticle weight in two and higher dimensions. In one dimension the propagator decays algebraically for long times. The saddle point approximation is valid for large $M$.

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Achim Rosch, Thilo Kopp. 1995-02-08. Heavy Particle in a d-dimensional Fermionic Bath: A Strong Coupling Approach. https://doi.org/10.1103/physrevlett.75.1988

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