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We study the onset of intrinsic bistability and accompanying hysteresis in asingle quantum point contact (QPC) with in-plane side gates in the presence oflateral spin-orbit coupling. The hysteresis in the conductance versus commongate voltage applied to the two side gates exists only if the narrow portion ofthe QPC is long enough. The hysteresis is absent if the effects ofelectron-electron interaction are neglected but increases with the strength ofthe electron-electron interaction. The hysteresis appears in the region ofconductance anomalies, i.e., less than 2e2/h, and is due to multistable spintextures in these regions.

Intrinsic Bistability In Quantum Point Contacts with in-plane Side Gates