Impurity with a resonance in the vicinity of the Fermi energy

@article{Maslov2021ImpurityWA,
  title={Impurity with a resonance in the vicinity of the Fermi energy},
  author={Mikhail M. Maslov and Mikhail Lemeshko and Artem G. Volosniev},
  journal={Physical Review Research},
  year={2021}
}
We study an impurity with a resonance level whose position coincides with the Fermi energy of the surrounding Fermi gas. An impurity causes a rapid variation of the scattering phase shift for fermions at the Fermi surface, introducing a new characteristic length scale into the problem. We investigate manifestations of this length scale in the self-energy of the impurity and in the density of the bath. Our calculations reveal a model-independent deformation of the density of the Fermi gas, which… 

Figures from this paper

References

SHOWING 1-10 OF 73 REFERENCES

Theory of a resonantly interacting impurity in a Bose-Einstein condensate

We investigate a Bose-Einstein condensate in strong interaction with a single impurity particle. While this situation has received considerable interest in recent years, the regime of strong coupling

Observation of Fermi polarons in a tunable Fermi liquid of ultracold atoms.

The polaron energy and the quasiparticle residue for various interaction strengths around a Feshbach resonance are determined and the transition from polaronic to molecular binding is observed at a critical interaction.

Theory of ultracold atomic Fermi gases

The physics of quantum degenerate atomic Fermi gases in uniform as well as in harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is given to the effect of

Universal Aspects of a Strongly Interacting Impurity in a Dilute Bose Condensate.

It is demonstrated that for strong (unitary) impurity-boson interactions all quasiparticle properties of a heavy Bose polaron, such as its energy, its residue, its Tan's contact, and the number of bosons trapped nearby the impurity, depend on theImpurity- boson potential via a single parameter characterizing its range.

Dynamical Friedel oscillations of a Fermi sea

We study the scenario of quenching an interaction-free Fermi sea on a one-dimensional lattice ring by suddenly changing the potential of a site. From the point-of-view of the conventional Friedel

Scattering of two heavy Fermi polarons: Resonances and quasibound states

Impurities in a Fermi sea, or Fermi polarons, experience a Casimir interaction induced by quantum fluctuations of the medium. When there is short-range attraction between impurities and fermions,

Friedel oscillations as a probe of fermionic quasiparticles

When immersed in a see of cold electrons, local impurities give rise to density modulations known as Friedel oscillations. In spite of the generality of this phenomenon, the exact shape of these

Polaron residue and spatial structure in a Fermi gas

We consider a mobile impurity of mass M interacting via a s-wave broad or narrow Feshbach resonance with a Fermi sea of particles of mass m. Truncating the Hilbert space to at most one pair of

Theory of radio-frequency spectroscopy of impurities in quantum gases

We present a theory of radio-frequency spectroscopy of impurities interacting with a quantum gas at finite temperature. By working in the canonical ensemble of a single impurity, we show that the

Oscillating Casimir force between impurities in one-dimensional Fermi liquids

We study the interaction of two localized impurities in a repulsive one-dimensional Fermi liquid via bosonization. In a previous paper [Phys. Rev. A 72, 023616 (2005)], it was shown that at distances
...