Efficient magnetic superstructure optimization with $\Theta \Phi$

Abstract

Simulating the incommensurate spin density waves (ISDW) states is not a simple task within the standard \emph{ab-initio} methods. Moreover, in the context of new material discovery, there is a need for fast and reliable tool capable to scan and optimize the total energy as a function of the pitch vector, thus allowing to automatize the search for new materials. In this paper we show how the ISDW can be efficiently obtained within the recently released $\Theta \Phi$ program. We illustrate this on an example of the single orbital Hubbard model and of $\gamma$-Fe, where the ISDW emerge within the mean-field approximation and by using the twisted boundary conditions. We show the excellent agreement of the $\Theta \Phi$ with the previously published ones and discuss possible extensions. Finally, we generalize the previously given framework for spin quantization axis rotation to the most general case of spin-dependent hopping matrix elements.

8 pages, 4 figures, to appear in Computational Materials Science

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• Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders
• Non-ergodic dynamics of the extended anisotropic Heisenberg chain
• Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit
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