Two-particle excitations under coexisting electron interaction and disorder

2018/08/17 by Chinedu E. Ekuma, C. E. Ekuma
Mathematics · Physics and Astronomy · #Condensed matter physics #Electron #Electronic correlation #Hamiltonian (control theory) #Hubbard model #Mathematics #Oscillator strength #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Spectral line #Superconductivity #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.98.085129

published as Phys. Rev. B 98, 085129 (2018) · 4 Figures, 8 Pages

openalex publication_date 2018/08/17 · arxiv created 2018/08/22 · arxiv updated 2018/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the combined impact of random disorder and electron-electron and electron-hole interactions on the absorption spectra of a three-dimensional Hubbard Hamiltonian. We determine the single-particle Green's function within the typical medium dynamical cluster approximation. We solve the Bethe-Salpeter equation (BSE) to obtain the dynamical conductivity. Our results show that increasing disorder strength at a given interaction strength leads to decreased absorption with the dynamical conductivity, systematically going to zero at all frequencies, a fingerprint of a correlation-mediated electron localization. Surprisingly, our data reveal that taking into account the effects of electron-hole interactions through the BSE significantly changes the oscillator strength with a concomitant reduction in the critical disorder strengths W_c^U. We attribute this behavior to enhanced quantum correction induced by electron-hole interactions.

Citations

• Anomalous ballistic transport in disordered bilayer graphene: A Dirac semimetal induced by dimer vacancies
• Quantum Monte Carlo algorithm for nonlocal corrections to the dynamical mean-field approximation
• Geometrically averaged density of states as a measure of localization
• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
• Interaction and quantum decoherence
• Anderson-Mott Transition as a Random-Field Problem
• Electrical conduction in concentrated disordered transition metal alloys
• Typical medium theory of Anderson localization: A local order parameter approach to strong-disorder effects
• The energy spectrum of disordered systems
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• The Anderson-Mott transition
• Critical Behavior at the Mott-Anderson Transition: A Typical-Medium Theory Perspective
• Generalized multiband typical medium dynamical cluster approximation: Application to (Ga,Mn)N
• Quantum Theory of Many Particle Systems