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most citedDirac cones and magic angles in the Bistritzer--MacDonald TBG Hamiltonian

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math-ph2026

On optimal Wannier decay in dimension three

Simon Becker, Zhongkai Tao, Mengxuan Yang

For a Chern nontrivial Bloch bundle over the three torus, we construct an orthonormal Wannier basis with the optimal pointwise decay . All but one of the g…

math-ph2026

Don't mind the gap: Absolutely Continuous Edge Spectrum in a Mobility Gap

Simon Becker, Mengxuan Yang

We study the edge spectrum of two-dimensional lattice Hamiltonians and magnetic Schrödinger operators in a mobility gap, an energy interval in which the bulk spectrum is potentiall…