Regensburg 2025 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
MA: Fachverband Magnetismus
MA 28: Cooperative Phenomena: Spin Structures and Magnetic Phase Transitions
MA 28.7: Vortrag
Mittwoch, 19. März 2025, 16:45–17:00, H19
Ground state magnetization in superstable graphs — •Fabio Pablo Miguel Méndez-Córdoba1,2,3, Joseph Tindall4, Dieter Jaksch1,2,5, and Frank Schlawin1,2,3 — 1Universität Hamburg, Luruper Chaussee 149, Gebäude 69, D-22761 Hamburg, Germany — 2The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, Hamburg D-22761, Germany — 3Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany — 4Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, NY 10010 — 5Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, UK
Much of our understanding of ground state magnetic properties rests on analytical results on bipartite lattices. However, few exact results are known in non-bipartite graphs with frustrated couplings. We determine the ground state magnetization of strongly correlated systems on non-bipartite graphs displaying superstability. Superstability allows reinterpreting non-bipartite graphs as a collection of bipartite-connected components, providing magnetic properties of important lattices, such as the triangular ladder. Numerical evidence suggests further generalizations are feasible.
Keywords: Ferrimagnetism; Lieb's Theorem; Magnetic order; Frustration; Hubbard and Heisenberg models