The electronic bands are classified according to their topology. We compute the connection and curvature for the electronic bands and show that the physical properties are determined by topological invariants which are equivalent to the existence of the zero modes. We apply this method to the Topological Insulators and Topogical Superconductors.
Spintronics and Pseudospintronics in Graphene and Topological Insulators
Torsional Response and Dissipationless Viscosity in Topological Insulators
Why is the bulk resistivity of topological insulators so small?
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