Symbolic Recursion for Strongly Correlated Fermions
Published:Dec 29, 2025 18:33
•1 min read
•ArXiv
Analysis
This paper introduces a symbolic implementation of the recursion method to study the dynamics of strongly correlated fermions in 2D and 3D lattices. The authors demonstrate the validity of the universal operator growth hypothesis and compute transport properties, specifically the charge diffusion constant, with high precision. The use of symbolic computation allows for efficient calculation of physical quantities over a wide range of parameters and in the thermodynamic limit. The observed universal behavior of the diffusion constant is a significant finding.
Key Takeaways
- •Introduces a symbolic implementation of the recursion method for strongly correlated fermions.
- •Confirms the universal operator growth hypothesis.
- •Computes charge diffusion constant with high precision.
- •Observes a universal 1/V^2 dependence for the diffusion constant.
- •Highlights the efficiency of symbolic computation in physics.
Reference
“The authors observe that the charge diffusion constant is well described by a simple functional dependence ~ 1/V^2 universally valid both for small and large V.”