A non-variational algorithm constructs maximally localized Wannier functions by treating discrete adiabatic transport across band degeneracies as part of solving the projected position operator eigenvalues, yielding linear phase overlaps and fixed-point extraction of centers.
(D6) Since ⏐ ⏐ dF (r) dr ⏐ ⏐ = 1 − cos ( 2 π (x0 − r) ) < 1, (0 < x0 − r < 1/4), (D7) x0 is an attractor [61]
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Shaping Maximally Localized Wannier Functions via Discrete Adiabatic Transport
A non-variational algorithm constructs maximally localized Wannier functions by treating discrete adiabatic transport across band degeneracies as part of solving the projected position operator eigenvalues, yielding linear phase overlaps and fixed-point extraction of centers.