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We theoretically study the electrical conductivity in a one-dimensionalhelimagnet whose spin texture changes from helimagnetic to conical magnetic,and to forced ferromagnetic state while increasing the magnetic field along thehelical axis. We find that the conductivity in the helimagnetic state at zerofield depends on the electron filling and the coefficient of the spin-chargecoupling. We also find that the conductivity in the conical magnetic statechanges nonlinearly to the applied field, and the magnetoresistance becomesnegative and positive depending on the model parameters.

Electrical conductivity in helical and conical magnetic states