Abstract
The local-field correction for the dielectric function of the two-dimensional and of the three-dimensional Bose condensate is calculated within a sum-rule version of the Singwi et al. (Phys. Rev.176, 589 (1968)) approach. We derive analytical expressions for small and large wave numbers and give analytical expressions for the density dependence. We compare the results of the groundstate energy for the three-dimensional system with Monte-Carlo computations. In two dimensions a roton structure in the plasmon dispersion is found at low boson density. The plasmon density of states is calculated. A correlation induced charge-density-wave instability in layered structures of two-dimensional Bose gases is discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Pines, D., Nozières, P.: The theory of quantum liquids, Vol. I. New York: Benjamin 1966
Mahan, G.D.: Many-particle physics. New York: Plenum Press 1981
Singwi, K.S., Tosi, M.P., Land, R.H., Sjölander, A.: Phys. Rev.176, 589 (1968)
Jonson, M.: J. Phys. C9, 3055 (1976)
Schafroth, M.R.: Phys. Rev.100, 463 (1955)
Ginzburg, V.L.: J. Stat. Phys.1, 3 (1969)
Foldy, L.L.: Phys. Rev.124, 649 (1961)
Caparica, Á.A., Hipólito, O.: Phys. Rev. A26, 2832 (1982)
Hong, J., Choi, H.J.: Phys. Rev. B43, 3238 (1991)
Hansen, J.-H., Mazighi, R.: Phys. Rev. A18, 1282 (1978)
Ceperly, D.M., Alder, B.J.: Phys. Rev. Lett.45, 566 (1980)
May, R.M.: Phys. Rev.115, 254 (1959)
Hines, D.F., Frankel, N.E.: Phys. Rev. B20, 972 (1979)
Sim, H.-K., Tao, R., Wu, F.Y.: Phys. Rev. B34, 7123 (1986)
Um, C.I., Kahng, W.H., Yim, E.S., George, T.F.: Phys. Rev. B41, 259 (1990)
Micnas, R., Ranninger, J., Robaszkiewicz, S.: Rev. Mod. Phys.62, 113 (1990)
Gold, A.: Physica C190, 483 (1992)
Alexandrov, A.S., Ranninger, J.: Solid State Commun.81, 403 (1992)
Kranz, H.H., Löwenau, J.P., Schmitt-Rank, S.: J. Phys. C17, 2121 (1984)
[15], contains a lot of errors: (3.15), (4.2), Figs. 2–4. The ground-state energies of [15] Um, C.I., Kahng, W.H., Yim, E.S., George, T.F.: Phys. Rev. B 41, 259 (1990) are in disagreement with the results given in [14] Sim, H.-K., Tao, R., Wu, F.Y.: Phys. Rev. B34, 7123 (1986)
Gradshteyn, I.S., Ryzhik, I.M.: Table of integrals, series and products. New York: Academic Press 1980
Gold, A.: Z. Phys. B—Condensed Matter83, 429 (1991)
Swierkowski, L., Neilson, D., Szymanski, J.: Phys. Rev. Lett.67, 240 (1991)
Gold, A.: Z. Phys. B—Condensed Matter86, 193 (1992)
Gold, A.: Z. Phys. B—Condensed Matter52, 1 (1983)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gold, A. Local-field correction of the charged Bose condensate for two and three dimensions. Z. Physik B - Condensed Matter 89, 1–10 (1992). https://doi.org/10.1007/BF01320822
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01320822