REVIEW 1 cited by
Proof that the maximally localized Wannier functions are real
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
The maximally localized Wannier functions play a very important role in the study of chemical bonding, ballistic transport and strongly-correlated system, etc. A significant development in this branch was made in 1997 and conjectured that the maximally localized Wannier functions are real. In this paper, we prove the conjecture. A key to this proof is that the real parts of complex Wannier functions equal to the algebraic average of two real Wannier functions and the spread functional of one of the two real Wannier functions is less than one of complex Wannier functions. If one starts with initial real Wannier functions, the gradients of spread functional to get the maximally localized Wannier functions are only calculated in half of Brillouin zone and more localized Wannier functions are obtained.
Forward citations
Cited by 1 Pith paper
-
Theory of nonlinear interactions between x rays and optical radiation in crystals
A perturbative derivation shows that X-ray-optical nonlinear signals in crystals carry a band-structure contribution, the joint density of states, separable from atomic-scale Wannier function contributions by polarization.
Discussion (0). Continue with ORCID to comment.