Giant Mass and Anomalous Mobility of Particles in a Fermionic System

Achim Rosch and Thilo Kopp
Phys. Rev. Lett. 80, 4705 – Published 25 May 1998
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Abstract

We calculate the mobility of a heavy particle coupled to a Fermi sea within a nonperturbative approach valid at all temperatures. The interplay of particle recoil and of strong-coupling effects, leading to the orthogonality catastrophe for an infinitely heavy particle, is carefully taken into account. We find two novel types of strong-coupling effects: a new low-energy scale T* and a giant mass renormalization in the case of either near-resonant scattering or a large transport cross section σ, respectively. The mobility is shown to obey two different power laws below and above T*. For σλf2, where λf is the Fermi wavelength, an exponentially large effective mass suppresses the mobility.

  • Received 5 January 1998

DOI:https://doi.org/10.1103/PhysRevLett.80.4705

©1998 American Physical Society

Authors & Affiliations

Achim Rosch and Thilo Kopp

  • Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, D-76128 Karlsruhe, Germany

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Vol. 80, Iss. 21 — 25 May 1998

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