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Topological Hall effect induced by classical large-spin background: path-integral approach
The 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.Comment: 6 pages, 9 figure