Giant mass and anomalous mobility of particles in fermionic systems

Details Giant mass and anomalous mobility of particles in fermionic systems Giant mass and anomalous mobility of particles in fermionic systems

1998-01-05

arxiv.org/abs/cond-mat/9801015v1

Phys. Rev. Lett. 80, 4705 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.80.4705

We calculate the mobility of a heavy particle coupled to a Fermi sea within a non-perturbative 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 $T^{\star}$ and a giant mass renormalization in the case of either near-resonant scattering or a large transport cross section $\sigma$. The mobility is shown to obey two different power laws below and above $T^{\star}$. For $\sigma\gg\lambda_f^2$, where $\lambda_f$ is the Fermi wave length, an exponentially large effective mass suppresses the mobility.

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