Journal
PHYSICAL REVIEW B
Volume 99, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.99.205141
Keywords
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Funding
- NSF [DMR-1461952]
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Recent experiments on twisted bilayer graphene (TBLG) have observed insulating states for two and three unit charges per moire supercell, whereas the quarter-filling state (QFS) remained metallic. Subsequent experiments show that under hydrostatic pressure the QFS turns insulating for a certain window of pressure. In fact, the resistivity of the 1/2-filling and 3/4-filling states are also enhanced in the same pressure-window. Using pressure-dependent band structure calculations we compute the ratio of the potential to the kinetic energy, r(s). We find a window of pressure for which r(s) crosses the threshold for a triangular Wigner crystal, thereby corroborating our previous work that the insulating states in TBLG are driven by Wigner physics, A key prediction of this work is that the window for the onset of the hierarchy of Wigner states that obtains at commensurate fillings conforms to a dome shape under pressure. We also predict the optimal condition for Wigner crystallization to be around 1.5 GPa. Consequently, TBLG provides a new platform for the exploration of Wigner physics and its relationship with superconductivity.
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