Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 72: Poster Session: Correlated Electrons
TT 72.45: Poster
Mittwoch, 14. März 2018, 15:00–19:00, Poster B
A SUSY-connection between classical spin spirals and free fermions — •Jan Attig1, Krishanu Roy Chowdhury2, Michael Lawler2, and Simon Trebst1 — 1University of Cologne — 2Binghamton University / Cornell University
The formation of coplanar spin spirals is a common motif in the magnetic ordering of many frustrated magnets. For classical antiferromagnets, geometric frustration can lead to a massively degenerate ground state manifold of spirals whose propagation vectors can be described, depending on the lattice geometry, by points (triangular), lines (fcc), surfaces (frustrated diamond) or completely flat bands (pyrochlore). Here we demonstrate an exact mathematical correspondence of these spiral manifolds of classical antiferromagnets with the Fermi surfaces of free-fermion band structures. We provide an explicit lattice construction relating the frustrated spin model to a corresponding free-fermion tight-binding model. We discuss implications of topological band structures in the fermionic system to the corresponding classical spin system and further expand this mapping by employing concepts from super symmetric quantum mechanics to extent the present work for quantum spin systems.