Diagrammatic Monte Carlo study of quasi-two-dimensional Fermi-polarons

Abstract

We apply a diagrammatic Monte Carlo method to the problem of an impurity interacting resonantly with a homogeneous Fermi bath for a quasi-two-dimensional setup. Notwithstanding the series divergence, we can show numerically that the three particle-hole diagrammatic contributions are not contributing significantly to the final answer, thus demonstrating a nearly perfect destructive interference of contributions in subspaces with higher-order particle-hole lines. Consequently, for strong enough confinement in the third direction, the transition between the polaron and the molecule ground state is found to be in good agreement with the pure two-dimensional case and agrees very well with the one found by the wave-function approach in the two-particle-hole subspace.

arXiv comment6 pages, 4 figures; replaced with published version

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Cited by in corpus (28)

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• Observation of coherent multiorbital polarons in a two-dimensional Fermi gas
• Dark Continuum in the Spectral Function of the Resonant Fermi Polaron
• Dynamical variational approach to Bose polarons at finite temperatures
• Transport of neutral optical excitations using electric fields
• Diagrammatic Monte Carlo study of mass-imbalanced Fermi-polaron system
• Ab initio lattice results for Fermi polarons in two dimensions
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Diagrammatic Monte Carlo algorithm for the resonant Fermi gas
• Exchange-correlation effect in the charge response of a warm dense electron gas
• Tunable Feshbach resonances and their spectral signatures in bilayer semiconductors
• Fermi polaron revisited: polaron-molecule transition and coexistence
• Quantum-Zeno Fermi polaron in the strong dissipation limit
• Nature of polaron-molecule transition in Fermi polarons
• Superconductivity induced by strong electron-exciton coupling in doped atomically thin semiconductor heterostructures
• Emergence of Crystalline Few-body Correlations in Mass-imbalanced Fermi Polarons
• Lecture notes on Diagrammatic Monte Carlo for the Fröhlich polaron
• Exact Quantum Virial Expansion for the Optical Response of Doped Two-Dimensional Semiconductors
• A Non-Gaussian Variational Approach to Fermi Polarons in One- and Two-dimensional Lattices
• A stochastic root finding approach: The Homotopy Analysis Method applied to Dyson-Schwinger Equations
• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
• Competing few-body correlations in ultracold Fermi polarons
• Spectra of heavy polarons and molecules coupled to a Fermi sea
• Momentum-dependent quasiparticle properties of the Fermi polaron from the functional renormalization group
• Fermionic Sign Structure of High-order Feynman diagrams in a Many-fermion System
• Full and unbiased solution of the Dyson-Schwinger equation in the functional integro-differential representation
• The normal state of attractive Fermi gases from coupled-cluster theory
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions