This research proposal introduces a temperature-dependent generalization of the projector-based formalism for computing orbital magnetization in finite-temperature correlated phases of twisted bilayer graphene, addressing treatment of Fermi-Dirac statistics, convergence with respect to remote band contributions, and coupling between thermal excitations and symmetry-broken correlated phases.
Key findings
Twisted bilayer graphene exhibits rich phase diagrams of strongly correlated electronic states.
A comprehensive framework for computing orbital magnetization at finite temperatures is proposed.
The method incorporates thermal fluctuations through finite-temperature Hartree-Fock theory and auxiliary-field quantum Monte Carlo methods.
The framework enables predictions of temperature-driven phase transitions in moiré materials.
Limitations & open questions
Current finite-temperature methods have not been applied to orbital magnetization calculations in moiré systems.
The relationship between thermal occupation and Berry curvature requires careful treatment.