Deconfinement of Mott Localized Electrons into Topological and Spin-Orbit Coupled Dirac Fermions

Abstract

The interplay of electronic correlations, spin-orbit coupling and topology holds promise for the realization of exotic states of quantum matter. Models of strongly interacting electrons on honeycomb lattices have revealed rich phase diagrams featuring unconventional quantum states including chiral superconductivity and correlated quantum spin Hall insulators intertwining with complex magnetic order. Material realizations of these electronic states are however scarce or inexistent. In this work, we propose and show that stacking 1T-TaSe${}_2$ into bilayers can deconfine electrons from a deep Mott insulating state in the monolayer to a system of correlated Dirac fermions subject to sizable spin-orbit coupling in the bilayer. 1T-TaSe${}_2$ develops a Star-of-David (SoD) charge density wave pattern in each layer. When the SoD centers belonging to two adyacent layers are stacked in a honeycomb pattern, the system realizes a generalized Kane-Mele-Hubbard model in a regime where Dirac semimetallic states are subject to significant Mott-Hubbard interactions and spin-orbit coupling. At charge neutrality, the system is close to a quantum phase transition between a quantum spin Hall and an antiferromagnetic insulator. We identify a perpendicular electric field and the twisting angle as two knobs to control topology and spin-orbit coupling in the system. Their combination can drive it across hitherto unexplored grounds of correlated electron physics including a quantum tricritical point and an exotic first-order topological phase transition.

arXiv comment8 pages, 3 figures, Supplemental Material with 6 pages and 4 figures, hopping data files included

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Cited by in corpus (13)

• Heterogeneous Ta-dichalcogenide bilayer: heavy fermions or doped Mott physics?
• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
• Nonlocal corrections to dynamical mean-field theory from the two-particle self-consistent method
• Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
• Doping fingerprints of spin and lattice fluctuations in moiré superlattice systems
• Local vs non-local correlation effects in interacting quantum spin Hall insulators
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• Quantum Transport Theory of Strongly Correlated Matter
• Controlling the real-time dynamics of a spin coupled to the helical edge states of the Kane-Mele model
• Impact of correlations on topology in Kane-Mele model decorated with impurities
• Comparing the effective enhancement of local and non-local spin-orbit couplings on honeycomb lattices due to strong electronic correlations