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Luttinger-liquid behavior of one-dimensional He-3 Astrakharchik, Grigori Boronat Medico, Jordi Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear Universitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity Àrees temàtiques de la UPC::Física Electron gas Monte Carlo method Bose-Einstein gas Luttinger liquids Ground-state Electron-gas Anderson localization Single-barrier Quantum fluids Monte-Carlo Bose-gas Transport Crystal Systems Montecarlo, Mètode de Condensació de Bose-Einstein 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 Postprint (published version) 2014-12-30 Article Astrakharchik, 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. 1098-0121 https://hdl.handle.net/2117/26200 10.1103/PhysRevB.90.235439 eng http://journals.aps.org/prb/abstract/10.1103/PhysRevB.90.235439 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain 5 p. application/pdf