Abstract
In twisted MoTe2, the hybrid excitons are trapped at two high-symmetry points with opposite electric dipoles. These high-symmetry points form a honeycomb superlattice, and the interlayer component induces attractive dipole-dipole interaction between the two sublattices and repulsive dipole-dipole interaction within each sublattice. The dominant attractive interaction binds excitons into cluster, hexagon, and dimer (biexciton). At intermediate temperature, the dimer and monomer populations are significant. These dimers exhibit emergent physics like Kagome geometry and non-Abelian lattice gauge field. The quadrupole nature of biexciton further makes possible local gate controls to isolate designated path-ways from the extended lattice for exploiting consequences of non-commutative gauge structure including the genuine non-Abelian Aharonov-Bohm effect. This also provides a new approach for quantum manipulation of excitonic valley qubit. We show path interference on a simplest loop can deterministically transform the computational basis states into Bell states.
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