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arXiv · cond-mat/0311187

Topological quantization of boundary forces and the integrated density of states

Johannes Kellendonk
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Abstract

For quantum systems described by Schrödinger operators on the half-space $\RR^{d-1}\times\RR^{leq 0}$ 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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Johannes Kellendonk. 2003-11-08. Topological quantization of boundary forces and the integrated density of states. https://doi.org/10.1088/0305-4470%2F37%2F15%2Fl02

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