Topological quantization of boundary forces and the integrated density of states

Details Topological quantization of boundary forces and the integrated density of states Topological quantization of boundary forces and the integrated density of states

2003-11-08

arxiv.org/abs/cond-mat/0311187v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages

Scientific paper

10.1088/0305-4470/37/15/L02

For quantum systems described by Schr\"odinger 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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