Abstract
We theoretically describe a mechanism of low-field linear magnetoconductivity in helical magnetic metals. Two ingredients for the mechanism in three-dimensional metals are identified to be the spin-orbit coupling and momentum-dependent ferromagnetic exchange interaction. We propose and study a number of minimal theoretical models which have linear magnetoconductivity and discuss their implications for recent experiments.
Highlights
Linear magnetoconductivity in magnetic metalsTwo ingredients for the mechanism in three-dimensional metals are identified to be the spin-orbit coupling and momentum-dependent ferromagnetic exchange interaction
Onsager’s relations [1,2] dictate that the low-field electric conductivity of the system in the applied magnetic field must be even under the reversal of the magnetic field when the timereversal symmetry is not violated in the system
The aim of the present Letter is to introduce a number of theoretical models which provide a possible mechanism of linear magnetoconductivity in magnetic metals
Summary
Two ingredients for the mechanism in three-dimensional metals are identified to be the spin-orbit coupling and momentum-dependent ferromagnetic exchange interaction. In the case of pure linear in momentum three-dimensional spin-orbit coupling, the ferromagnetic exchange interaction acting on the spin of conducting fermions just like the regular Zeeman magnetic field cannot affect the velocity of fermions unless there is spin-orbit coupling affecting motion of the conducting fermions. We show that the momentum-dependent ferromagnetic exchange interaction [10,11] does affect the velocity of conduction fermions, and leads to linear magnetoconductivity with all terms present in Eq (1). In the case of two-dimensional spin-orbit coupling, the Zeeman-like ferromagnetic exchange interaction can affect the velocity of fermions, but only when it has a component parallel to the spin-orbit coupling vector We discuss such a scenario in our second example of the theoretical models.
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