Abstract
The spin phase diagram of interacting electrons in a quantum wire under a high magnetic field is investigated by finite-system exact diagonalization. Various phases emerge as a function of interaction strength and aspect ratio. Stable spin-polarized states correspond to two-dimensional fractional quantum Hall states of filling fractions $1/q,$ with $q$ odd. Spin-singlet ground states for six electrons with filling fractions around $\frac{2}{5}--\frac{1}{2}$ are inspected in detail, and a real-space singlet pairing state peculiar to wire systems is found for a larger aspect ratio.
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