Substrate commensuration induces intervalley coupling in TBG, hybridizing flat bands into a p_x-p_y honeycomb model with quadratic touchings that flatten due to frustration and yield topological bands with C up to 4.
The Insulating State of Matter: A Geometrical Theory
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abstract
In 1964 W. Kohn published the milestone paper "Theory of the insulating state'", according to which insulators and metals differ in their ground state. Even before the system is excited by any probe, a different organization of the electrons is present in the ground state and this is the key feature discriminating between insulators and metals. However, the theory of the insulating state remained somewhat incomplete until the late 1990s; this review addresses the recent developments. The many-body ground wavefunction of any insulator is characterized by means of geometrical concepts (Berry phase, connection, curvature, Chern number, quantum metric). Among them, it is the quantum metric which sharply characterizes the insulating state of matter. The theory deals on a common ground with several kinds of insulators: band insulators, Mott insulators, Anderson insulators, quantum Hall insulators, Chern and topological insulators
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2025 1verdicts
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Intervalley-Coupled Twisted Bilayer Graphene from Substrate Commensuration
Substrate commensuration induces intervalley coupling in TBG, hybridizing flat bands into a p_x-p_y honeycomb model with quadratic touchings that flatten due to frustration and yield topological bands with C up to 4.