Abstract
We have studied singlet–triplet transitions (STTs) in a system of two interacting electronsin a one-dimensional quantum dot in the presence of the spin–orbit interaction (SOI) and amagnetic field. The STTs are shown to occur owing only to a combined action of the SOIand magnetic field. The energy gap at the STT point depends on the relative direction ofthe external magnetic field and an effective magnetic field of the SOI. An interesting effectis produced by the electron–electron interaction that can be controlled by nearby gates.The increase of the interaction strength results in the significant reduction of the criticalmagnetic field, under which the STT occurs, and lowering of the energy gap.
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