Low-energy models for correlated materials: bandwidth renormalization from Coulombic screening

Area of Science:

• Condensed Matter Physics
• Materials Science
• Quantum Mechanics

Background:

• Correlated electron materials exhibit complex behaviors due to strong electron-electron interactions.
• Dynamical screening of Coulomb interactions is essential for accurately modeling these materials.
• Existing models often neglect the impact of dynamic screening on fundamental parameters.

Purpose of the Study:

• To develop a theoretical framework for constructing Hamiltonians of correlated electron materials.
• To incorporate the effects of dynamically screened Coulomb interactions into these Hamiltonians.
• To establish a method for quantitative predictions of low-energy solid-state properties.

Main Methods:

• Prescription for constructing Hamiltonians.
• Renormalization of hopping and hybridization parameters.
• Analysis of dynamical screening processes.

Main Results:

• The study provides a method to construct Hamiltonians for low-energy physics.
• Dynamical screening significantly renormalize hopping and hybridization parameters.
• Renormalization effects are non-negligible across various correlated electron material classes.

Conclusions:

• The developed renormalization approach is vital for accurate modeling of correlated materials.
• Bandwidth reduction is a necessary effect for connecting theoretical models to experimental observations.
• This work enables more precise quantitative predictions for the low-energy properties of solids.