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ReportsSpin-Charge Separation and Localization in One Dimension![]()
We report on measurements of quantum many-body modes in ballistic wires and their dependence on Coulomb interactions, obtained by tunneling between two parallel wires in an GaAs/AlGaAs heterostructure while varying electron density. We observed two spin modes and one charge mode of the coupled wires and mapped the dispersion velocities of the modes down to a critical density, at which spontaneous localization was observed. Theoretical calculations of the charge velocity agree well with the data, although they also predict an additional charge mode that was not observed. The measured spin velocity was smaller than theoretically predicted.
1 Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.
2 Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA. 3 Bell Labs, Lucent Technologies, 700 Mountain Avenue, Murray Hill, NJ 07974, USA. * Present address: Geballe Laboratory for Advanced Materials, Stanford University, Stanford, CA 94305, USA.
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Science. ISSN 0036-8075 (print), 1095-9203 (online)