Field orientation dependent vortex formation in individual multilayer triangular rings

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We present the giant magnetoresistance responses of individual pseudo-spin-valve triangular ring using synchronous transport measurement technique. We observed that unlike single layer triangular rings, the formation of intermediate vortex state is strongly dependent on the applied field orientation (θ). For nπ/6<θ<(n+1)π/6, n=0,1,2…, the Co layer in the ring undergoes a transition from forward onion state to reverse onion state via an intermediate vortex state, otherwise there is a direct transition from forward onion state to reverse onion states. This phenomenon in triangular rings may be useful for applications in future spin logic devices.