ARPES of Bi2212 interpreted via a particle in a system of dynamic scatterers

TL;DR

This paper models ARPES spectra of over-doped Bi2212 using parabolic cylinder functions, interpreting electronic states as particles in a dynamic scatterer system, providing a quantitative fit across temperatures.

Contribution

It introduces a novel application of parabolic cylinder functions to describe ARPES spectra in Bi2212, linking experimental data with a particle-in-system model of dynamic scatterers.

Findings

Successful quantitative fit of ARPES spectra across temperatures

Identification of the spectrum at 140K as a 1D random system

Electronic states modeled as particles in dynamic scatterers

Abstract

In this work, I employ parabolic cylinder functions to quantitatively describe the ARPES spectra of an over-doped Bi2212 across the temperature range 6 - 140K at the antinode k-point. These functions come from the solutions of a particle moving in a system of random scatterers. The parameters, i.e. the overall amplitude (A), the spectral coherence scale (C), and the energy shift (EG), are determined directly by fitting to experimental data. At 140K, the dominated feature of the ARPES spectrum resembles the solution of a particle moving in a one-dimensional random system. According to the present model, the electronic states of the over-doped Bi2212 at the antinode k-point can be viewed as a realization of the theory of a particle moving in dynamic scatterers in 1D with corrections from the ground state solutions at lower temperature.