Geometrical engineering of a two-band Chern insulator in two dimensions with arbitrary topological index
Geometrical engineering of a two-band Chern insulator in two dimensions with arbitrary topological index
Two-dimensional 2-band insulators breaking time-reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. We propose an efficient procedure to determine this topological index, which makes it possible to conceive 2-band, tight-binding Hamiltonians with arbitrary Chern numbers. The technique is illustrated by a step-by-step construction …