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Jones Polynomial and Knot Transitions in Hermitian and non-Hermitian Topological Semimetals

Jones Polynomial and Knot Transitions in Hermitian and non-Hermitian Topological Semimetals

Topological nodal line semimetals host stable chained, linked, or knotted line degeneracies in momentum space protected by symmetries. In this Letter, we use the Jones polynomial as a general topological invariant to capture the global knot topology of the oriented nodal lines. We show that every possible change in Jones …