Renormalization group analysis of weakly interacting van der Waals Fermi system

Area of Science:

• Condensed Matter Physics
• Materials Science
• Quantum Mechanics

Background:

• The two-dimensional Hubbard model exhibits complex behavior with varying carrier density and parameters.
• Renormalization group methods offer powerful tools for analyzing interacting Fermi systems.
• Van der Waals heterostructures like graphene-phosphorene are of significant interest.

Purpose of the Study:

• To investigate the spin-wave dependent electronic structure and susceptibility of graphene-phosphorene van der Waals heterostructures.
• To apply a renormalization group approach to a weakly interacting van der Waals Fermi system.
• To analyze the compressibility and phase diagram near half-filling.

Main Methods:

• Utilizing a renormalization group approach for interacting Fermi systems.
• Implementing a singlet vertex response function for nearest-neighbor hopping.
• Extending the analytical approach to study spin-wave dependent susceptibility.

Main Results:

• Demonstrated the spin-wave dependent electronic structure of the graphene-phosphorene heterostructure.
• Presented the compressibility and phase diagram in the vicinity of half-filling.
• Analyzed the density dependence of the critical energy scale.

Conclusions:

• The renormalization group method effectively describes the electronic properties of van der Waals heterostructures.
• The study provides insights into the phase diagram and critical behavior of these systems.
• This work contributes to understanding weak-coupling phenomena in novel 2D materials.