348 citations · 2.2k across the 37 of their papers we have counts for
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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…
Pseudo-magnetic fields, particle-hole asymmetry, and microscopic effective continuum Hamitonians of twisted bilayer graphene
Jian Kang, Oskar Vafek
Using the method developed in the companion paper, we construct the effective continuum theories for two different microscopic tight binding models of the twisted bilayer graphene…
Continuum effective Hamiltonian for graphene bilayers for an arbitrary smooth lattice deformation from microscopic theories
Oskar Vafek, Jian Kang
We provide a systematic real space derivation of the continuum Hamiltonian for a graphene bilayer starting from a microscopic lattice theory, allowing for an arbitrary inhomogeneou…
Momentum space quantum Monte Carlo on twisted bilayer Graphene
Xu Zhang, Gaopei Pan, Yi Zhang +2
We report an implementation of the momentum space quantum Monte Carlo (QMC) method on the interaction model for the twisted bilayer graphene (TBG) at integer fillings. The long-ran…
Lattice model for the Coulomb interacting chiral limit of the magic angle twisted bilayer graphene: symmetries, obstructions and excitations
Oskar Vafek, Jian Kang
We revisit the localized Wannier state description of the twisted bilayer graphene, focusing on the chiral limit. We provide a simple method for constructing such 2D exponentially…
Cascades between light and heavy fermions in the normal state of magic angle twisted bilayer graphene
Jian Kang, B. Andrei Bernevig, Oskar Vafek
We present a framework for understanding the recently observed cascade transitions and the Landau level degeneracies at every integer filling of twisted bilayer graphene. The Coulo…