Topological quantization of boundary forces and the integrated density of states
Johannes Kellendonk
Abstract
For quantum systems described by Schrödinger operators on the half-space d-1×leq 0 the boundary force per unit area and unit energy is topologically quantised provided the Fermi energy lies in a gap of the bulk spectrum. Under this condition it is also equal to the integrated density of states at the Fermi energy.
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