The ground state construction of the two-dimensional Hubbard model on the honeycomb lattice
Alessandro Giuliani
TL;DR
This paper reviews the rigorous construction of the ground state properties of the half-filled 2D Hubbard model on the honeycomb lattice using constructive fermionic Renormalization Group methods, providing a mathematical foundation for understanding its quantum phases.
Contribution
It introduces a rigorous method to analyze the ground state of the 2D Hubbard model on the honeycomb lattice, advancing theoretical understanding.
Findings
Ground state properties rigorously constructed
Method applicable to similar fermionic systems
Provides mathematical validation of physical predictions
Abstract
In these lectures I consider the half-filled two-dimensional (2D) Hubbard model on the honeycomb lattice and I review the rigorous construction of its ground state properties by making use of constructive fermionic Renormalization Group methods.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Algebraic structures and combinatorial models · Advanced Condensed Matter Physics