Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation

TL;DR

This paper studies the formation and properties of attractive polarons in doped 3D parabolic systems, analyzing the effects of chirality, coupling strength, and temperature on their spectral and dynamical features.

Contribution

It introduces a detailed analysis of attractive polarons in doped systems using a non-self-consistent T-matrix approach, highlighting differences between chiral and non-chiral cases.

Findings

Distinct features of pair propagator in low and high momentum regimes

Effects of bare coupling strength on polaron properties

Temperature dependence of pair propagator and energy relaxation

Abstract

We investigate the properties of attractive polaron formed by a single impurity dressed with the particle-hole excitations in a three-dimensional (3D) doped (extrinsic) parabolic system. %at zero-temperature limit. Base on the single particle-hole variational ansatz, we study the pair propagator, self-energy, and the non-self-consistent medium $T$-matrix. The non-self-consistent $T$-matrix discussed in this paper contains only the open channel since we don't consider the shift of center-of-mass due to the resonance (e.g., induced by the magnetic field). Besides, since we focus on the low-density regime of the majority particles, the effective Fermi wave vector is small. The scattering form factor is discussed in detail for the chiral case and compared to the non-chiral one. The effects of the bare coupling strength, which is momentum-cutoff-dependent, are also discussed. %within the pair propagator due to the scattering %with a certain scattering angle. We found that the pair propagator and the related quantities, like the self-energy, spectral function, induced effective mass, and residue (spectral weight), all exhibit different features in the low-momentum regime and the high one, which also related to the polaronic instabilities as well as the many-body fluctuation and nonadiabatic/adiabatic dynamics. The pair-propagator and the energy relaxation time at finite temperature are also explored.