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Gauge Fields Induced by Curved Spacetime Abstract. I found an extended duality (triality) between Dirac fermions in periodic spacetime metrics, nonrelativistic fermions in gauge fields (e.g. Harpe

In this recently published paper on PTEP, I show the equivalence of spacetime curvature and magnetic (gauge) fields under unitary transformations on a lattice. #physics #ptep

doi.org/10.1093/ptep...

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Zero energy modes with gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes Abstract. Topological zero modes in topological insulators or superconductors are exponentially localized at the phase transition between a topologically t

Published on #PTEP → exact solutions for zero modes of a modified Dirac equation decaying exponentially, or faster, or slower than exponential, for different (hermitian and nonhermitian) potential shapes #physics

doi.org/10.1093/ptep...

arxiv.org/abs/2412.14255

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