5 citations · 7 across the 9 of their papers we have counts for
10 papers
On the Metastability of the Mean-Field Interchange Model for Local Dimension
Sergio Escobar, Lin Lin, Michael Ragone +1
Many quantum systems are believed to thermalize slowly at low temperatures due to the existence of metastable phases. However, there are cases where further cooling can restore pol…
Relaxation effects on Hartree-Fock ground states in twisted bilayer graphene at even integer fillings
Tianyu Kong, Alexander B. Watson, Lin Lin +2
A standard approach for studying magic angle twisted bilayer graphene (MATBG)'s correlated electronic phase diagram is to project the Coulomb interaction down to effective models o…
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…
Spectral Gap of the Davies Generator for the Mean-Field Heisenberg Model
Joao Basso, Thiago Bergamaschi, Lin Lin +2
The mean-field Heisenberg ferromagnet is a quantum spin model on the complete graph with isotropic spin-1/2 interactions. This non-commuting Hamiltonian is permutation and $\mathsf…
Ab initio quantum embedding description of magic angle twisted bilayer graphene at even-integer fillings
Raehyun Kim, Woochang Kim, Kevin D. Stubbs +2
Magic angle twisted bilayer graphene (MATBG) hosts narrow moiré bands with meV-scale energy splittings, making its correlated phases sensitive to both material parameters and model…
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…