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We have studied the ground state structure of quantum strips within the localspin-density approximation, for a range of electronic densities between $\sim$5$\times10^4$ and 2$\times10^6$ cm$^{-1}$ and several strengths of the lateralconfining potential. The results have been used to address the conductance $G$of quantum strips. At low density, when only one subband is occupied, thesystem is fully polarized and $G$ takes a value which is close to0.7(2e$^2/h$), decreasing with increasing electron density in agreement withexperiments. At higher densities the system becomes paramagnetic and $G$ takesa value near (2e$^2/h$), showing a similar decreasing behaviour with increasingelectron density. In both cases, the physical parameter that determines thevalue of the conductance is the ratio $K/K_0$ of the compressibility of thesystem over the free one.Comment: Accepted for publication in Physical Review

Ground state structure and conductivity of quantum wires of infinite length and finite width