Collapse of Quantized Conductance in a Dirty Tomonaga-Luttinger Liquid

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Abstract
The way the quantized value of conductance in a quantum wire disappears is predicted as a function of temperature and length of the wire by taking account of both impurity scattering and mutual Coulomb interactions, i.e., in the case of a dirty Tomonaga-Luttinger liquid. It is shown that quantization of conductance is realized for short wires, while for longer wires the effect of impurity scattering is important and a deviation from the quantized value becomes apparent especially at low temperatures. In this case the conductance shows a distinctive temperature dependence.