COLLAPSE OF QUANTIZED CONDUCTANCE IN A DIRTY TOMONAGA-LUTTINGER LIQUID

The way the quantized value of conductance in a quantum wire disappear s is predicted as a function of temperature and length of the wire by taking account of both impurity scattering and mutual Coulomb interact ions, i.e., in the case of a dirty Tomonaga-Luttinger liquid. It is sh own that quantization of conductance is realized for short wires, whil e for longer wires the effect of impurity scattering is important and a deviation from the quantized value becomes apparent especially at lo w temperatures. In this case the conductance shows a distinctive tempe rature dependence.