Irreducibility of the Bloch Variety for Finite-Range Schrodinger Operators


الملخص بالإنكليزية

We study the Bloch variety of discrete Schrodinger operators associated with a complex periodic potential and a general finite-range interaction, showing that the Bloch variety is irreducible for a wide class of lattice geometries in arbitrary dimension. Examples include the triangular lattice and the extended Harper lattice.

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