Abstract

We investigate interaction-induced symmetry breaking in moiré superlattices formed by twisting two identical materials whose low-energy degrees of freedom reside near three M points. Using symmetry analysis, an analytical strong-coupling framework, and unrestricted Hartree-Fock on the full continuum model, we classify candidate valley-polarized and intervalley-coherent orders in three-valley systems. We find that the additional valley degree of freedom enables several IVC states absent in two-valley systems, and that stacking-dependent energetics can favor IVC order even in the flat-band regime.

Abstract

We investigate interaction-induced symmetry breaking in moiré superlattices formed by twisting two identical materials whose low-energy degrees of freedom reside near three M points. Using symmetry analysis, an analytical strong-coupling framework, and unrestricted Hartree-Fock on the full continuum model, we classify candidate valley-polarized and intervalley-coherent orders in three-valley systems. We find that the additional valley degree of freedom enables several IVC states absent in two-valley systems, and that stacking-dependent energetics can favor IVC order even in the flat-band regime.

Abstract

We investigate interaction-induced symmetry breaking in moiré superlattices formed by twisting two identical materials whose low-energy degrees of freedom reside near three M points. Using symmetry analysis, an analytical strong-coupling framework, and unrestricted Hartree-Fock on the full continuum model, we classify candidate valley-polarized and intervalley-coherent orders in three-valley systems. We find that the additional valley degree of freedom enables several IVC states absent in two-valley systems, and that stacking-dependent energetics can favor IVC order even in the flat-band regime.

Abstract

We investigate interaction-induced symmetry breaking in moiré superlattices formed by twisting two identical materials whose low-energy degrees of freedom reside near three M points. Using symmetry analysis, an analytical strong-coupling framework, and unrestricted Hartree-Fock on the full continuum model, we classify candidate valley-polarized and intervalley-coherent orders in three-valley systems. We find that the additional valley degree of freedom enables several IVC states absent in two-valley systems, and that stacking-dependent energetics can favor IVC order even in the flat-band regime.