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Single-particle density matrix and superfluidity in the two-dimensional Bose Coulomb fluid | | A. Minguzzi
; B. Davoudi
; M. P. Tosi
; | | Date: |
28 Mar 2002 | | Journal: | Phys. Rev. B. 66, 165306 (2002) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | A study by W. R. Magro and D. M. Ceperley [Phys. Rev. Lett. {f 73}, 826 (1994)] has shown that the ground state of the two-dimensional fluid of charged bosons with logarithmic interactions is not Bose-condensed, but exhibits algebraic off-diagonal order in the single-particle density matrix $
ho(r)$. We use a hydrodynamic Hamiltonian expressed in terms of density and phase operators, in combination with an $f$-sum rule on the superfluid fraction, to reproduce these results and to extend the evaluation of the density matrix to finite temperature $T$. This approach allows us to treat the liquid as a superfluid in the absence of a condensate. We find that (i) the off-diagonal order arises from the correlations between phase fluctuations; and (ii) the exponent in the power-law decay of $
ho(r)$ is determined by the superfluid density $n_s(T)$. We also find that the plasmon gap in the single-particle energy spectrum at long wavelengths decreases with increasing $T$ and closes at the critical temperature for the onset of superfluidity. | | Source: | arXiv, cond-mat/0203594 | | Services: | Forum | Review | PDF | Favorites | |
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