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Physical review. B, Condensed matter

Dynamic correlations in a charged Bose gas

Kumar Tankeshwar, B. Tanatar, Monica Tosi

Published Apr 15, 1998• 5 citations
Publisher

Abstract

We evaluate the ground-state properties of a charged Bose gas at $T=0$ within the quantum version of the self-consistent field approximation of Singwi, Tosi, Land, and Sj\"olander. The dynamical nature of the local- field correction is retained to include dynamic correlation effects. The resulting static structure factor $S(q)$ and the local-field factor $G(q)$ exhibit properties not described by other mean-field theories.

DOI
10.1103/physrevb.57.8854

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We evaluate the ground-state properties of a charged Bose gas at T=0T=0T=0 within the quantum version of the self-consistent field approximation of Singwi, Tosi, Land, and Sj"olander. The dynamical nature of the local- field correction is retained to include dynamic correlation effects. The resulting static structure factor S(q)S(q)S(q) and the local-field factor G(q)G(q)G(q) exhibit properties not described by other mean-field theories.
The ground state of a charged Bose gas is studied throughout a large range of densities in a self-consistent-field approximation formalism which includes the short-range correlations between bosons through a local-field correction. Numerical self-consistent calculations have been carried out in order to determine the static structure factor $S(\stackrel{\ensuremath{\rightarrow}}{\mathrm{q}})$. Hence, from $S(\stackrel{\ensuremath{\rightarrow}}{\mathrm{q}})$ we have obtained the pair-correlation functions, the ground-state energy which essentially is the correlation energy, the pressure of the gas, and, from Feynman's relation, the energy spectrum of elementary excitations. The response of the system to a static impurity charge has also been investigated. In the high-density limit our calculations show the same results as those given by Bogoliubov's perturbation theory. In the intermediate-density region, corresponding to the strongly coupled system, our results are in very good agreement with recent calculations based on the hypernetted-chain integral equation as well as Monte Carlo computations.
We study many-body effects of a charged-boson system in terms of a dynamically self-consistent method. We calculate static structure factors, elementary excitation energies, pair correlation functions, and ground-state energies for various densities through the iterative calculation using two independent relations between the structure factor and the local-field correction, and compare with a similar method using the local-field correction of Singwi et al. We claim that our ground-state energies may be considered as lower bounds.
The ground state of a double-layer charged Bose system is investigated beyond the random-phase approximation by including the many-body correlation effects. The correlations within the layer are accounted for within the self-consistent theory of Singwi, Tosi, Land, and Sj\"olander, while we have neglected the effect of interlayer correlations. The static susceptibility, the elementary excitation spectrum, and the static screened potentials are calculated and their dependence on the boson number density and the layer spacing is examined. Results are compared with the recent work of Tanatar and Das where correlations are not included. It is found that the inclusion of correlation effects combined with the interlayer interactions can significantly alter the nature of the ground state and, in particular, can favor an inhomogeneous charge-density-wave ground state. A comparison is also made in terms of screened potentials with the double-layer electron system that enables one to have a deeper insight into the role played by the exchange and Coulomb correlations separately.
We investigate the effect of many-body correlations on the ground-state properties of two coupled charged Bose quantum wires. The intrawire and interwire correlations are treated on the same footing within the self-consistent mean-field theory of Singwi, Tosi, Land and Sjölander. Static properties, viz. , pair-correlation functions, local-field correction factors, screened interactions and susceptibilities, are calculated for a range of wire spacings d , wire radii , and boson density parameters . We find that the qualitative dependence of intrawire correlations on and remains the same as found for an isolated wire, except that they become slightly weaker with the decreasing spacing d . The interwire correlations, on the other hand, depend strongly on d and are found to grow in magnitude with decreasing d . Further, we find no evidence for the existence of a charge-density-wave ground state in the density range investigated, , in the close proximity of wires. A comparison with the similar studies on the coupled electron quantum wires reveals that the charge-density-wave instability observed there may be an artifact of the neglect of interwire correlation effects.
Some properties of a two-dimensional charged Bose gas interacting with a ln(r) potential are investigated on the basis of a self-consistent-field formalism which includes the short-range correlations between bosons through a local-field correction depending on the pair correlation function. Numerical results for the static structure factor, pair correlation function, spectrum of elementary excitations, and the response of the system to a static impurity charge are presented. Our results show the same qualitative behavior as those of the three-dimensional analog but the correlation effects are somewhat more pronounced in two dimensions.