Theory of correlations in strongly interacting fluids of two-dimensional dipolar bosons

Abstract

Ground-state properties of a two-dimensional fluid of bosons with repulsive dipole-dipole interactions are studied by means of the Euler-Lagrange hypernetted-chain approximation. We present a self-consistent semi-analytical theory of the pair distribution function $g(r)$ and ground-state energy of this system. Our approach is based on the solution of a zero-energy scattering Schrödinger equation for the "pair amplitude" $\sqrt{g(r)}$ with an effective potential from Jastrow-Feenberg correlations. We find excellent agreement with quantum Monte Carlo results over a wide range of coupling strength, nearly up to the critical coupling for the liquid-to-crystal quantum phase transition. We also calculate the one-body density matrix and related quantities, such as the momentum distribution function and the condensate fraction.

arXiv comment8 pages, 8 figures, submitted

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Cited by in corpus (8)

• Ground-state and dynamical properties of two-dimensional dipolar Fermi liquids
• Universal behavior of repulsive two-dimensional fermions in the vicinity of the quantum freezing point
• Attractive and repulsive dipolar interaction in bilayers of indirect excitons
• Rotons and Bose condensation in Rydberg-dressed Bose Gases
• Quantum phases of a one-dimensional dipolar Fermi gas
• Dipoles on a Two-leg Ladder
• Superfluidity in density imbalanced bilayers of dipolar fermions
• Ground and excited states of coupled exciton liquids in electron-hole quadrilayers