Topological phase transitions in strongly correlated systems: application to Co${}_3$Sn${}_2$S${}_2$

Abstract

The topological transition in the strongly correlated half-metallic ferromagnetic compound Co${}_3$Sn${}_2$S${}_2$ from Weyl semimetal (including chiral massless fermions) to a non-magnetic state is treated. This transition goes with a change in topological invariant, and is accompanied by a non-topological transition from saturated ferromagnetic to paramagnetic state, the minority Fermi surface being transformed from ghost (hidden) to real. A corresponding description is given in terms of slave fermion representation for the effective narrow-band Hubbard model. The system Co${}_3$Sn${}_2$S${}_2$ provides a bright example of coexistence of non-trivial topology and strong low-dimensional ferromagnetism. A comparison is performed with other compounds where frustrations result in formation of a correlated paramagnetic state.

arXiv comment4 pages

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Cited by in corpus (4)

• Endless Dirac nodal lines in kagome-metal Ni3In2S2
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Hubbard bands, Mott transition and deconfinement in strongly correlated systems
• Hubbard Bands and Exotic States in Doped and Undoped Mott Systems: The Kotliar-Ruckenstein Representation