Instability of layered quantum liquids: 6. Strongly correlated bosons |
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Authors: | A Gold |
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Institution: | 116. Laboratoire de Physique des Solides, Université Paul Sabatier, 118 Route de Narbonne, F-31062, Toulouse, France
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Abstract: | We calculate the local-field corrections G(q, q z) for charged bosons at zero temperature in a superlattice with interlayer distance d. An analytical expression for the local-field correction is described. The sum-rule version of the self-consistent approach for the local-field correction is used to discuss the effects of correlation. The RPAparameter r s and the ratio d/a* determine correlation effects. a* is the effective Bohr radius. The stability region for the Bose condensate r s < r sc as a function of d/a* is determined: r sc ≈ (d/a*)3/4. The ground-state energy of the layered Bose condensate is calculated and optical and acoustical plasmons are discussed. We predict a roton structure for optical plasmons for r s > r sr with r sr ≈ 0.5 (d/a*)3/4. |
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