275 citations · 945 across the 8 of their papers we have counts for
4 papers · 1 filter
Phase diagram of twisted bilayer graphene at filling factor
Fang Xie, Jian Kang, B. Andrei Bernevig +2
We study the correlated insulating phases of twisted bilayer graphene (TBG) in the absence of lattice strain at integer filling . Using the self-consistent Hartree-Fock met…
TSTG I: Single-Particle and Many-Body Hamiltonians and Hidden Non-local Symmetries of Trilayer Moiré Systems with and without Displacement Field
Dumitru Călugăru, Fang Xie, Zhi-Da Song +3
We derive the Hamiltonian for trilayer moiré systems with the Coulomb interaction projected onto the bands near the charge neutrality point. Motivated by the latest experimental re…
Twisted bilayer graphene.VI. An Exact Diagonalization Study of Twisted Bilayer Graphene at Non-Zero Integer Fillings
Fang Xie, Aditya Cowsik, Zhi-Da Song +3
Using exact diagonalization, we study the projected Hamiltonian with Coulomb interaction in the 8 flat bands of first magic angle twisted bilayer graphene. Employing the U(4) (U(4)…
Twisted Bilayer Graphene V: Exact Analytic Many-Body Excitations in Twisted Bilayer Graphene Coulomb Hamiltonians: Charge Gap, Goldstone Modes and Absence of Cooper Pairing
B. Andrei Bernevig, Biao Lian, Aditya Cowsik +3
We find exact analytic expressions for the energies and wavefunctions of the charged and neutral excitations above the exact ground states (at rational filling per unit cell) of pr…