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Exactly flat bands beyond the chiral limit in Bistritzer--MacDonald Hamiltonians
Zhen Huang, Kevin D. Stubbs
The chiral limit of the Bistritzer--MacDonald model for twisted bilayer graphene has exactly flat bands at magic angles. We show that exact flatness can persist beyond the chiral l…
Hartree--Fock coercivity for twisted bilayer graphene
Kevin D. Stubbs, Maciej Zworski
We study the minimisers of the Hartree--Fock functional for flat bands in the chiral model of twisted bilayer graphene introduced by Tarnopolsky, Kruchkov, and Vishwanath. Our mode…
Interacting Twisted Bilayer Graphene with Systematic Modeling of Structural Relaxation
Tianyu Kong, Alexander B. Watson, Mitchell Luskin +1
Twisted bilayer graphene (TBG) has drawn significant interest due to recent experiments which show that TBG can exhibit strongly correlated behavior such as the superconducting and…
The Many-Body Ground State Manifold of Flat Band Interacting Hamiltonian for Magic Angle Twisted Bilayer Graphene
Kevin D. Stubbs, Michael Ragone, Allan H. MacDonald +1
At a magic relative twist angle, magic angle twisted bilayer graphene (MATBG) has an octet of flat bands that can host strong correlation physics when partially filled. A key theor…
On the Hartree-Fock Ground State Manifold in Magic Angle Twisted Graphene Systems
Kevin D. Stubbs, Simon Becker, Lin Lin
Recent experiments have shown that magic angle twisted bilayer graphene (MATBG) can exhibit correlated insulator behavior at half-filling. Seminal theoretical results towards under…
Exact ground state of interacting electrons in magic angle graphene
Simon Becker, Lin Lin, Kevin D. Stubbs
One of the most remarkable theoretical findings in magic angle twisted bilayer graphene (TBG) is the emergence of ferromagnetic Slater determinants as exact ground states for the i…