Luttinger-liquid behavior of one-dimensional He-3

Article

关键词: GROUND-STATE;    ELECTRON-GAS;    ANDERSON LOCALIZATION;    SINGLE-BARRIER;    QUANTUM FLUIDS;    MONTE-CARLO;    BOSE-GAS;    TRANSPORT;    CRYSTAL;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.90.235439

来源: SCIE

【 摘 要 】

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 Bose gas. a super-Tonks-Girardeau regime, and a quasicrystal. The obtained results are applicable to unpolarized, partially, or fully polarized He-3.

【 授权许可】

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