Luttinger-liquid behavior of one-dimensional He-3
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The ground-state properties of one-dimensional He-3 are studied using quantum Monte Carlo methods. The equation of state is calculated in a wide range of physically relevant densities and is well interpolated by a power-series fit. The Luttinger liquid theory is found to describe the long-range properties of the correlation functions. The density dependence of the Luttinger parameter is explicitly found, and interestingly it shows a nonmonotonic behavior. Depending on the density, the static structure factor can be a smooth function of the momentum or might contain a peak of a finite or infinite height. Although no phase transitions are present in the system, we identify a number of physically different regimes, including an ideal Fermi gas, a
CitationAstrakharchik, G.; Boronat, J. Luttinger-liquid behavior of one-dimensional He-3. "Physical review B: condensed matter and materials physics", 30 Desembre 2014, vol. 90, núm. 23, p. 1-5.