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Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 11, Number 3, Pages 354–365
(Mi tmf2875)
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This article is cited in 184 scientific papers (total in 184 papers)
On the theory of the superfluidity of two- and one-dimensional bose systems
V. N. Popov
Abstract:
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.
Received: 12.07.1971
Citation:
V. N. Popov, “On the theory of the superfluidity of two- and one-dimensional bose systems”, TMF, 11:3 (1972), 354–365; Theoret. and Math. Phys., 11:3 (1972), 565–573
Linking options:
https://www.mathnet.ru/eng/tmf2875 https://www.mathnet.ru/eng/tmf/v11/i3/p354
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Abstract page: | 704 | Full-text PDF : | 360 | References: | 59 | First page: | 1 |
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