Attractive polaron in a Dirac system within the ladder approximation

Abstract

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 $\cos a$. 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.

References in corpus (18)

• Single-Spin Addressing in an Atomic Mott Insulator
• Attractive and repulsive Fermi polarons in two dimensions
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Variational study of polarons in Bose-Einstein condensates
• Boltzmann transport and residual conductivity in bilayer graphene
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Quantum Criticality of Topological Phase Transitions in 3D Interacting Electronic Systems
• Induced $p$-wave pairing in Bose-Fermi mixtures
• Dropping an impurity into a Chern insulator: a polaron view on topological matter
• Molecule and polaron in a highly polarized two-dimensional Fermi gas with spin-orbit coupling
• Emergent Anisotropic Non-Fermi Liquid at a Topological Phase Transition in Three Dimensions
• Polaron in a $p+ip$ Fermi topological superfluid
• Many-electron effect to the dynamical polarization of silicene-like two-dimension Dirac materials
• Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture
• Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation
• Dimensionality-induced BCS-BEC crossover in layered superconductors
• Electronic properties of the parabolic Dirac system

Cited by in corpus (3)

• Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation
• Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture
• Composite polaron formed on surface of two-dimensional lattice system in weak coupling regime