Topological Hall effect induced by classical large-spin background: $su(2)$ path-integral approach

Abstract

The $su(2)$ coherent-state path-integral technique is employed to study lattice electrons strongly coupled to a quantum spin background. In the large-spin limit it is replaced with its classical counterpart that breaks the time-reversal symmetry. The fermions propagating through a classical large-spin texture may then exhibit the topological Hall effect which arises even for a zero scalar spin chirality of the underlying spin background.

6 pages, 9 figures

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Cited by in corpus (4)

• Factors affecting the topological Hall effect in strongly correlated layered magnets: spin of the magnetic atoms, polar and azimuthal angle subtended by the spin texture
• A proposal for realizing Majorana fermions without external magnetic field in strongly correlated nanowires
• Re-entrant topological order in strongly correlated nanowire due to Rashba spin-orbit coupling
• Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder