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.
Simon, Holonomy, the quantum adiabatic theorem, and berry’s phase, Physical Review Letters 51, 2167 (1983)
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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.