The Fermi-polaron in two dimensions: Importance of the two-body bound state

Abstract

We investigate a single impurity interacting with a free two-dimensional atomic Fermi gas. The interaction between the impurity and the gas is characterized by an arbitrary attractive short-range potential, which, in two dimensions, always admits a two-particle bound state. We provide analytical expressions for the energy and the effective mass of the dressed impurity by including the two-body bound state, which is crucial for strong interactions, in the integral equation for the effective interaction. Using the same method we give also the results for the polaron parameters in one and three dimensions finding a pretty good agreement with previous known results. Thus our relations can be used as a simple way to estimate the polaron parameters once the two-body bound state of the interaction potential is known.

5 pages, 3 figures

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• Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
• Observation of coherent multiorbital polarons in a two-dimensional Fermi gas
• Trapped one-dimensional ideal Fermi gas with a single impurity
• Repulsive polarons in two-dimensional Fermi gases
• Energy and contact of the one-dimensional Fermi polaron at zero and finite temperature
• Many-body theory of optical absorption in doped two-dimensional semiconductors
• Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium
• Ab initio lattice results for Fermi polarons in two dimensions
• Fermi-to-Bose crossover in a trapped quasi-2D gas of fermionic atoms
• Fermi Gases in the Two-Dimensional to Quasi-Two-Dimensional Crossover
• Pairing instabilities in quasi-two-dimensional Fermi gases
• High-polarization limit of the quasi-two-dimensional Fermi gas
• Two-dimensional short-range interacting attractive and repulsive Fermi gases at zero temperature
• Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules
• Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
• Superfluidity in Two-Dimensional Imbalanced Fermi Gases
• Polaron in a $p+ip$ Fermi topological superfluid
• Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach
• Two-dimensional polaron spectroscopy of Fermi superfluids
• Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas
• Modelling excitonic Mott transitions in two-dimensional semiconductors
• Non-relativistic trace anomaly and equation of state in dense fermionic matter
• Excitons and trions in CrSBr bilayers
• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
• Polar molecules in bilayers with high population imbalance
• Excitonic states of an impurity in a Fermi gas
• Exploring ${}^3{P}_0$ Superfluid in Dilute Spin-Polarized Neutron Matter
• Bound states in two-dimensional Fermi systems with quadratic band touching
• Impurity in a zero-temperature three-dimensional Fermi gas
• Comparing energy levels in isotropic and anisotropic potentials