Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 51, Issue 19, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aab9c1
Keywords
Bose polaron; critical behavior; 1/N-expansion
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Funding
- Ministry of Education and Science of Ukraine [0116U001539]
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The properties of an impurity immersed in a dilute D-dimensional Bose gas at temperatures close to its second-order phase transition point are considered. Particularly by means of the 1/N-expansion, we calculate the leading-order polaron energy and the damping rate in the limit of vanishing boson-boson interaction. It is shown that the perturbative effective mass and the quasiparticle residue diverge logarithmically in the long-length limit, signalling the non-analytic behavior of the impurity spectrum and pole-free structure of the polaron Green's function in the infrared region, respectively.
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