1 research outputs found
Topological quantization of boundary forces and the integrated density of states
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.Comment: 7 page