The existence of a predominantly symmetrical spin configuration (spin polarized phase) and diluted' density of states (pseudo-gap) in a layer under the Fermi level in a quantum wire is predicted. The condition of cross-over from a non-polarized phase to a polarized one was derived. The effect essentially depends upon screening. The transition occurs for sufficiently low electron density in a wire and is accompanied by an acute decrease of the electron density of states near the Fermi level. It may result in a corresponding decrease in conductance.
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