## References

Approaches, methods, developments, and investigations in the environment of the FLAPW method and also implementations in the Fleur code have been published in many journal articles. If your publication relies on such work please study it to learn about the details and remember to cite the respective articles. It follows a list of references that may be of relevance here:

- The Fleur code:
*www.flapw.de*

- The LAPW method:
*O.K. Andersen, Linear methods in band theory, Phys. Rev. B 12, 3060 (1975)* - Early usage of LAPW:
*D. D. Koelling and G. O. Arbman, Use of energy derivative of the radial solution in an augmented plane wave method: application to copper, Phys. F: Metal Phys. 5, 2041 (1975)* - LAPW for thin films:
*H. Krakauer, M. Posternak, and A. J. Freeman, Linearized augmented plane-wave method for the electronic band structure of thin films, Phys. Rev. B 19, 1706 (1979)* - FLAPW (consideration of the full potential):
*E. Wimmer, A. J. Freeman, H. Krakauer, and M. Weinert, Full-potential self-consistent linearized-augmented-plane-wave method for calculating the electronic structure of molecules and surfaces: O2 molecule, Phys. Rev. B 24, 864 (1981)* - Total energy calculations in FLAPW:
*M. Weinert, E. Wimmer, and A. J. Freeman, Total-energy all-electron density functional method for bulk solids and surfaces, Phys. Rev. B 26, 4571 (1982)* - Comprehensive description of FLAPW:
*D. J. Singh and L. Nordström, Planewaves, Pseudopotentials, and the LAPW Method, Springer (2005)* - FLAPW review:
*S. Blügel and G. Bihlmayer, Full-Potential Linearized Augmented Planewave Method, in Computational Nanoscience: Do It Yourself! edited by J. Grotendorst, S. Blügel, and D. Marx, NIC Series Vol. 31, p. 85 (John von Neumann Institute for Computing, Jülich, 2006)*

- Extending the LAPW basis with local orbitals:
*D. Singh, Ground-state properties of lanthanum: Treatment of extended-core states, Phys. Rev. B 43, 6388 (1991)* - Eliminating the linearization error for unoccupied states:
*C. Friedrich, A. Schindlmayr, S. Blügel, and T. Kotani, Elimination of the linearization error in GW calculations based on the linearized augmented-plane-wave method, Phys. Rev. B 74, 045104 (2006)* - Linearization error for valence states:
*G. Michalicek, M. Betzinger, C. Friedrich, and S. Blügel, Elimination of the linearization error and improved basis-set convergence within the FLAPW method, Comp. Phys. Commun. 184, 2670 (2013)*

- FLAPW for one-dimensional systems:
*Y. Mokrousov, G. Bihlmayer, and S. Blügel, A full-potential linearized augmented planewave method for one-dimensional systems: gold nanowire and iron monowires in a gold tube, Phys. Rev. B. 72, 045402 (2005)* - Non-collinear magnetism in FLAPW:
*Ph. Kurz, F. Foerster, L. Nordström, G. Bihlmayer, and S. Blügel, Ab initio treatment of non-collinear magnets with the full-potential linearized augmented planewave method, Phys. Rev. B 69, 024415 (2004)* - Spin spirals in FLAPW:
*M. Heide, G. Bihlmayer, and S. Blügel, Describing Dzyaloshinskii-Moriya spirals from first principles, Physica B 404, 2678 (2009)*

- Hybrid functionals in FLAPW:
*M. Betzinger, C. Friedrich, and S. Blügel, Hybrid functionals within the all-electron FLAPW method: implementation and applications of PBE0, Phys. Rev. B 81, 195117 (2010)* - HSE hybrid functional in FLAPW:
*M. Schlipf, M. Betzinger, C. Friedrich, M. Ležaić, and S. Blügel, HSE hybrid functional within the FLAPW method and its application to GdN, Phys. Rev. B 84, 125142 (2011)* - Exact exchange in FLAPW:
*M. Betzinger, C. Friedrich, S. Blügel, and A. Görling, Local exact exchange potentials within the all-electron FLAPW method and a comparison with pseudopotential results, Phys. Rev. B 83, 045105 (2011)* - Response functions: optimized effective potential in FLAPW:
*M. Betzinger, C. Friedrich, A. Görling, and S. Blügel, Precise response functions in all-electron methods: Application to the optimized-effective-potential approach, Phys. Rev. B 85, 245124 (2012)* - Response functions: COHSEX, RPA correlation energy in FLAPW:
*M. Betzinger, C. Friedrich, A. Görling, and S. Blügel, Precise all-electron dynamical response functions: Application to COHSEX and the RPA correlation energy, Phys. Rev. B 92, 245101*

- Wannier functions within FLAPW:
*F. Freimuth, Y. Mokrousov, D. Wortmann, S. Heinze, and S. Blügel, Maximally Localized Wannier Functions within the FLAPW formalism, Phys. Rev. B. 78, 035120 (2008)*

- Green function formulation of the transfer matrix:
*D. Wortmann, H. Ishida, and S. Blügel, Ab initio Green-function formulation of the transfer matrix: Application to complex bandstructures, Phys. Rev. B 65, 165103 (2002)* - Green function embedding for transport through an interface:
*D. Wortmann, H. Ishida, and S. Blügel, Embedded Green-function approach to the ballistic electron transport through an interface, Phys. Rev. B 66, 075113 (2002)*

- GW approximation on top of FLAPW:
*C. Friedrich, S. Blügel, and A. Schindlmayr, Efficient implementation of the GW approximation within the all-electron FLAPW method, Phys. Rev. B 81, 125102 (2010)* - Coulomb matrix in FLAPW:
*C. Friedrich, S. Blügel, and A. Schindlmayr, Efficient calculation of the Coulomb matrix and its expansion around k=0 within the FLAPW method, Comp. Phys. Comm. 180, 347 (2009)* - Spin excitations in GW:
*E. Şaşıoğlu, A. Schindlmayr, Ch. Friedrich, F. Freimuth, and S. Blügel, Wannier-function approach to spin excitations in solids, Phys. Rev. B 81, 054434 (2010)* - Calculating Hubbard U with cRPA:
*E. Şaşıoğlu, C. Friedrich, and S. Blügel, Effective Coulomb interaction in transition metals from constrained random-phase approximation, Phys. Rev. B 83, 121101(R) (2011)*

- Parallelization and performance optimization:
*U. Alekseeva, G. Michalicek, D. Wortmann, and S. Blügel, Hybrid Parallelization and Performance Optimization of the FLEUR Code: New Possibilities for All-Electron Density Functional Theory. In: Aldinucci M., Padovani L., Torquati M. (eds) Euro-Par 2018: Parallel Processing. Euro-Par 2018. Lecture Notes in Computer Science, vol 11014. Springer, Cham.* - Parallelization of Hybrid functionals calculations with Fleur:
*M. Redies, G. Michalicek, J. Bouaziz, C., M. S. Müller, S. Blügel,and D. Wortmann, Fast All-Electron Hybrid Functionals and Their Application to Rare-Earth Iron Garnets, Front. Mater., 21 March 2022*

- The Kerker preconditioner for charge density mixing in FLAPW:
*M. Winkelmann, E. Di Napoli, D. Wortmann, and S. Blügel, Kerker mixing scheme for self-consistent muffin-tin based all-electron electronic structure calculations, Phys. Rev. B 102, 195138 (2020)* - Solving the modified Helmholtz equation in FLAPW:
*M. Winkelmann, E. Di Napoli, D. Wortmann, and S. Blügel, Solution to the Modified Helmholtz Equation for Arbitrary Periodic Charge Densities, Front. Phys. 8, 618142 (2021)*