Irreducibility of the Bloch Variety for Finite-Range Schr\"odinger Operators
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classification
math-ph
math.MPmath.SP
keywords
blochlatticevarietyfinite-rangeodingeroperatorsschrarbitrary
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We study the Bloch variety of discrete Schr\"odinger 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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