Nematic versus Kekulé phases in twisted bilayer graphene under hydrostatic pressure
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929650100338688 |
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| author | Sánchez, Miguel Sánchez Díaz, Israel González, José Stauber, Tobias |
| author_facet | Sánchez, Miguel Sánchez Díaz, Israel González, José Stauber, Tobias |
| contents | 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 $4\times4$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03140 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nematic versus Kekulé phases in twisted bilayer graphene under hydrostatic pressure Sánchez, Miguel Sánchez Díaz, Israel González, José Stauber, Tobias Mesoscale and Nanoscale Physics 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 $4\times4$ 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. |
| title | Nematic versus Kekulé phases in twisted bilayer graphene under hydrostatic pressure |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2403.03140 |