We study the two-dimensional superfluidity of disordered Bose systems by analyzing the Gross-Pitaevskii equation with random potential. First, we obtain the ground state and calculate its superfluid density by the linear response theory. The superfluid density shows their remarkable dependence on the potential amplitude, the healing length and the density. Secondly, we apply the velocity field to the ground state to observe the breaking of superfluidity due to the excitation of vortex pairs above a critical velocity. (C) 2002 Elsevier Science B.V. All rights reserved.
机构:
Univ Paris 06, Lab Jacques Louis Lions, Boite Courrier 187, F-75252 Paris 05, FranceUniv Paris 06, Lab Jacques Louis Lions, Boite Courrier 187, F-75252 Paris 05, France
Bethuel, Fabrice
Gravejat, Philippe
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Univ Paris 09, Ctr Rech Math Decis, F-75775 Paris 16, FranceUniv Paris 06, Lab Jacques Louis Lions, Boite Courrier 187, F-75252 Paris 05, France
Gravejat, Philippe
Saut, Jean-Claude
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Univ Paris 11, Lab Math, F-91405 Orsay, FranceUniv Paris 06, Lab Jacques Louis Lions, Boite Courrier 187, F-75252 Paris 05, France
Saut, Jean-Claude
STATIONARY AND TIME DEPENDENT GROSS-PITAEVSKII EQUATIONS,
2008,
473
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机构:
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Lanzhou Univ, Ctr Interdisciplinary Studies, Lanzhou 730000, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Zhao, Dun
Luo, Hong-Gang
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机构:
Lanzhou Univ, Ctr Interdisciplinary Studies, Lanzhou 730000, Peoples R China
Lanzhou Univ, Minist ofEducat, Key Lab Magnetism & Magnet Mat, Lanzhou 730000, Peoples R China
Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Luo, Hong-Gang
Chai, Hua-Yue
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
机构:
Osaka Univ, Grad Sch Engn Sci, Dept Syst Innovat, Div Math Sci, Toyonaka, Osaka 5608531, JapanOsaka Univ, Grad Sch Engn Sci, Dept Syst Innovat, Div Math Sci, Toyonaka, Osaka 5608531, Japan
Masaki, Satoshi
Miyazaki, Hayato
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Kagawa Univ, Fac Educ, Teacher Training Courses, Takamatsu, Kagawa 7608522, JapanOsaka Univ, Grad Sch Engn Sci, Dept Syst Innovat, Div Math Sci, Toyonaka, Osaka 5608531, Japan