This title appears in the Scientific Report :
2015
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevB.91.184413 in citations.
Please use the identifier: http://hdl.handle.net/2128/8640 in citations.
Higher-dimensional Wannier functions of multiparameter Hamiltonians
Higher-dimensional Wannier functions of multiparameter Hamiltonians
When using Wannier functions to study the electronic structure of multiparameter Hamiltonians H(k,λ) carrying a dependence on crystal momentum k and an additional periodic parameter λ, one usually constructs several sets of Wannier functions for a set of values of λ. We present the concept of higher...
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Personal Name(s): | Hanke, Jan-Philipp (Corresponding Author) |
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Freimuth, Frank / Blügel, Stefan / Mokrousov, Yuriy | |
Contributing Institute: |
Quanten-Theorie der Materialien; IAS-1 JARA-FIT; JARA-FIT Quanten-Theorie der Materialien; PGI-1 |
Published in: | Physical Review B Physical review / B, 91 91 (2015 2015) 18 18, S. 184413 184413 |
Imprint: |
College Park, Md.
APS
2015
|
DOI: |
10.1103/PhysRevB.91.184413 |
Document Type: |
Journal Article |
Research Program: |
Controlling Configuration-Based Phenomena Controlling Spin-Based Phenomena |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/8640 in citations.
When using Wannier functions to study the electronic structure of multiparameter Hamiltonians H(k,λ) carrying a dependence on crystal momentum k and an additional periodic parameter λ, one usually constructs several sets of Wannier functions for a set of values of λ. We present the concept of higher-dimensional Wannier functions (HDWFs), which provide a minimal and accurate description of the electronic structure of multiparameter Hamiltonians based on a single set of HDWFs. The obstacle of nonorthogonality of Bloch functions at different λ is overcome by introducing an auxiliary real space, which is reciprocal to the parameter λ. We derive a generalized interpolation scheme and emphasize the essential conceptual and computational simplifications in using the formalism, for instance, in the evaluation of linear response coefficients. We further implement the necessary machinery to construct HDWFs from ab initio within the full potential linearized augmented plane-wave method (FLAPW). We apply our implementation to accurately interpolate the Hamiltonian of a one-dimensional magnetic chain of Mn atoms in two important cases of λ: (i) the spin-spiral vector q and (ii) the direction of the ferromagnetic magnetization mˆ. Using the generalized interpolation of the energy, we extract the corresponding values of magnetocrystalline anisotropy energy, Heisenberg exchange constants, and spin stiffness, which compare very well with the values obtained from direct first principles calculations. For toy models we demonstrate that the method of HDWFs can also be used in applications such as the virtual crystal approximation, ferroelectric polarization, and spin torques. |