We investigate the properties of the attractive polaron formed by a single impurity dressed with the particle-hole excitations in a Dirac system at zero-temperature limit. Base on the single particle-hole variational ansatz, we deduce the expressions of the pair propagator, self-energy (negative), and the non-self-consistent medium $T$-matrix. Different to the self-consistent $T$-matrix which contains two channels due to the many-body effect, the non-self-consistent $T$-matrix discussed in this paper contains only the closed channel (i.e., the bare one) since we consider only a finite number of the majority particles. The chiral factor is also discussed within the pair propagator due to the scattering feature of the Dirac system (with a certain scattering angle $a$), and we found that the fluctuation of the pair propagator is proportional to the term ${\rm cos}\ a$. Finally, we also discuss the particle spectral function of the polaron in the presence of quantum many-body effect as well as the pair-propagator at finite temperature.
Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy
Joint Quantum Institute (JQI), University of Maryland（马里兰大学联合量子研究所）；Electrical Engineering Department, University of Maryland（马里兰大学电气工程系）；Center for Functional Nanomaterials, Brookhaven National Laboratory（布鲁克海文国家实验室功能纳米材料中心）
Microscopic Model of Exciton Polarons in 2D Wigner Crystals
Institute for Quantum Electronics, ETH Zürich（苏黎世联邦理工学院量子电子研究所）；Institute for Theoretical Physics, ETH Zürich（苏黎世联邦理工学院理论物理研究所）；Institut für Theoretische Physik, Universität Heidelberg（海德堡大学理论物理研究所）
Universität Heidelberg（海德堡大学）；University of Warsaw（华沙大学）；National University of Singapore（新加坡国立大学）；Max-Planck-Institut für Quantenoptik（马克斯·普朗克量子光学研究所）
