Kavli Affiliate: Cheng Peng
| First 5 Authors: Ruijin Liu, Cheng Peng, Xiaoling Cui, ,
| Summary:
Identifying few-body correlations is an efficient tool to solve complex
many-body problems. Polarons, interpolating between few- and many-body systems,
serve as an ideal platform to achieve the goal. In this work, we reveal the
emergence of various crystalline few-body correlations from the mass-imbalanced
Fermi polarons in two dimension. A unified variational approach up to three
particle-hole excitations allows us to extract the dominant $n$-body
correlations for $n$ ranging from $2$ (dimer), $3$ (trimer) to $4$ (tetramer).
When the fermion-impurity mass ratio is beyond certain critical value, the
Fermi polaron is found to undergo a smooth crossover, instead of a sharp
transition, from the polaronic to trimer and tetramer regimes as increasing the
fermion-impurity attraction. The emergent trimer and tetramer correlations
result in the {it momentum-space crystallization} of particle-hole excitations
featuring a stable diagonal or triangular structure, as can be directly probed
through the density-density correlation of majority fermions. Our results shed
light on the intriguing quantum phases in the mass-imbalanced Fermi-Fermi
mixtures beyond the pairing superfluid paradigm.
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