Nematic versus Kekulé phases in twisted bilayer graphene under hydrostatic pressure
arxiv(2024)
摘要
We address the precise determination of the phase diagram of magic angle
twisted bilayer graphene under hydrostatic pressure within a self-consistent
Hartree-Fock method in real space, including all the remote bands of the
system. We further present a novel algorithm that maps the full real-space
density matrix to a reduced density matrix based on a SU(4) symmetry of
sublattice and valley degrees of freedom. We find a quantum critical point
between a nematic and a Kekulé phase, and show also that our microscopic
approach displays a strong particle-hole asymmetry in the weak coupling regime.
We arrive then at the prediction that the superconductivity should be
Ising-like in the hole-doped nematic regime, with spin-valley locking, and
spin-triplet in the electron-doped regime.
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