1997
DOI: 10.1103/physrevb.56.12847
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Maximally localized generalized Wannier functions for composite energy bands

Abstract: We discuss a method for determining the optimally-localized set of generalized Wannier functions associated with a set of Bloch bands in a crystalline solid. By "generalized Wannier functions" we mean a set of localized orthonormal orbitals spanning the same space as the specified set of Bloch bands. Although we minimize a functional that represents the total spread n r 2 n − r 2 n of the Wannier functions in real space, our method proceeds directly from the Bloch functions as represented on a mesh of k-points… Show more

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Cited by 4,447 publications
(4,124 citation statements)
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References 64 publications
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“…[51][52][53][54] The electronic structure is described by density functional theory using the WIEN2k code. 55,56) Diagonalizing H 0 , we obtain the non-interacting band structure and the Fermi surface.…”
Section: Dynamical Mean Field Theorymentioning
confidence: 99%
“…[51][52][53][54] The electronic structure is described by density functional theory using the WIEN2k code. 55,56) Diagonalizing H 0 , we obtain the non-interacting band structure and the Fermi surface.…”
Section: Dynamical Mean Field Theorymentioning
confidence: 99%
“…In order to prove this point, we obtain the low-energy effective Hamiltonian by using the maximally-localized Wannier function (MLWF). [28][29][30] We choose . Other interactions such as further neighboring hopping are found to be much weaker.…”
Section: T Pp I Xs I X Xs I Ys I Y Ys Pp I Xs I Y Xs I Ys I X Ys I Amentioning
confidence: 99%
“…As monolayer 1T'-WTe 2 processes inversion symmetry, the topology of the occupied bands can be straightforwardly evaluated through the parity of valence bands at the four time-reversal invariant points, (0, 0), (0, π), (π, 0) and (π, π) [2] . We the direct projection formalism [27] . The band structure for the nanoribbon is obtained using the tight-binding Hamiltonian based the Wannier functions.…”
mentioning
confidence: 99%