Browsing by Author "Al-Hayek, I."
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Item Open Access Model boson-fermion mixture within the self-consistent-field approximation(American Physical Society, 1999) Al-Hayek, I.; Tanatar, BilalWe study the ground state properties of a boson-fermion mixture interacting via a hard-core repulsive potential with an attractive tail at zero temperature. We use the self-consistent field approach to calculate the ground state partial structure factors and the effective interactions between the species. We compare our results with the experimental data on liquid 3He-4He mixtures to find qualitative agreement. Collective modes and dynamic structure factors for the mixture are also discussed. ©1999 The American Physical Society.Item Open Access Model two-dimensional liquid 3He-4He mixture within the self-consistent field approximation(Elsevier BV, 1999) Al-Hayek, I.; Tanatar, BilalIn this paper we use the self-consistent scheme proposed by Singwi, Tosi, Land and Sjölander (STLS) to study a model two-component fermion - boson system (3He-4He mixture) in two dimensions. We calculate the partial static structure factors and effective potentials, given a model bare interaction with hard-core plus an attractive tail. We study the dependence of these quantities on the 3He fraction in the mixture. Collective modes for the mixture are also discussed. © 1999 Elsevier Science B.V. All rights reserved.Item Open Access Structure of a model one-dimensional liquid 3He–4He mixture(2000) Tanatar, Bilal; Al-Hayek, I.We study the ground state properties of a one-dimensional liquid 3He-4He mixture interacting via a hard-core repulsive potential at zero temperature. We use the self-consistent field approach to calculate the ground state partial structure factors, the effective interactions between the species, and collective modes. Our results are in qualitative agreement with more sophisticated approaches. © 2000 Elsevier Science B.V.Item Open Access Wigner crystallization in semiconductor quantum wires(American Physical Society, 1998) Tanatar, Bilal; Al-Hayek, I.; Tomak, M.We study the Wigner crystallization in semiconductor quantum wires within the density-functional approach. As the density of electrons in quasi-one-dimensional structures is lowered, we find that the system favors the crystalline phase as envisioned by Wigner. The dependence of the critical density on the lateral width of the quantum wire is also investigated. In a structure consisting of two parallel quantum wires, the Wigner transition to the solid phase is enhanced similarly to the bilayer systems.