Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 20: Poster Session: Correlated Electrons 2

TT 20.19: Poster

Monday, March 20, 2017, 15:00–19:00, P2-OG1

Topological properties of classical spin spirals from an exact mapping to free fermions — •Jan Attig and Simon Trebst — University of Cologne

In classical magnets coplanar spin spirals often arise in the presence of competing interactions which suppress more conventional types of magnetic order. Here we demonstrate that the physics of these coplanar spin spirals can be understood from an exact mapping of the classical Heisenberg model on a geometrically frustrated lattice to a free-fermion model on a closely related "squared" lattice. This one-to-one correspondence not only allows to make a connection between the Fermi surface of the free fermion model and the manifold of degenerate spiral states, but also allows to discuss topological phenomena of the free-fermion band structure in the corresponding classical magnet.