Geodesic
On the theory of the superfluidity of two- and one-dimensional bose systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 354-365 Cet article a éte moissonné depuis la source Math-Net.Ru

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A hydrodynamic Hamiltonian for two- and one-dimensional Bose systems is constructed by the method of functional integration. Its form indicates that there is superfluidity and two- fluid hydrodynamics at low temperatures despite the absence of a condensate. This result is clear from the fact that the single-particle Green's functions decrease at large distances in accordance with a power law in two-dimensional systems if $T\ne0$ and in one-dimensional systems if $T=0$, while they decrease exponentially in one-dimensional systems if $T\ne0$. A model is calculated for a two-dimensional low-density Bose gas; the thermodynamic functions and the equation of the phase transition curve are found. It is shown that allowance for quantum vortices in a two-dimensional Bose system does not alter the power-law decrease of the Green's functions at large distances. 
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     author = {V. N. Popov},
     title = {On the theory of the superfluidity of two- and one-dimensional bose systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {354--365},
     year = {1972},
     volume = {11},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a8/}
}
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V. N. Popov. On the theory of the superfluidity of two- and one-dimensional bose systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 354-365. http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a8/

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