By Virulh Sa-Yakanit
The Thirty-First overseas Workshop on Condensed subject Theories (CMT31) held in Bangkok inquisitive about the various roles performed via ab initio idea, modeling, and high-performance computing in condensed subject and fabrics technology, offering a discussion board for the dialogue of modern advances and exploration of latest difficulties. Fifty-six invited papers have been awarded, of which 38 seem as chapters during this quantity. stories of modern effects generated energetic debate on two-dimensional electron platforms, the metal-insulator transition, dilute magnetic semiconductors, results of illness, magnetoresistence phenomena, ferromagnetic stripes, quantum corridor platforms, strongly correlated Fermi platforms, superconductivity, dilute fermionic and bosonic gases, nanostructured fabrics, plasma instabilities, quantum fluid combinations, and helium in diminished geometries.
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Extra info for Condensed Matter Theories: Proceedings of the 31st International Workshop
For simplicity — and because of renewed interest — we focus here on the problem of an atomic impurity in the Bose fluid, which was first done by Owen7 in the longwavelength limit and later generalized to finite wavelengths, cf. Ref. 8. Restricting most of our attention to the impurity problem simplifies the theory while illustrating the relevant physics. The simplification comes about because there is only one impurity particle, from which it follows that the theory involves distribution functions of one less particle than the comparable theory of the bulk excitations.
We note that the factorization (5) holds not only for a normal Bose system but is valid also for Bose-Einstein condensed fluids and for normal Fermi systems with appropriately generalized expressions for the exchange factor F (r). Our numerical CDM calculations employ the HNC equations reported in Ref. 2 taking account of all elementary components in so-called HNC/4 approximation conserving certain sum rules . The input pseudopotential u(r) is optimally determined by solving the associated Schr¨ odinger equation for function g(r) (cf.
On the other hand, we have Σ(I) (q, ω)v1 = 2 2mI 2 2 d3 p ˜ u(2) (p) ≡ q I(q, ω)v1 q · ph(p)˜ q 3 (2π) ρ 2mI (21) and hence (I) Σ(I) (q, ω) = Σu (q, ω) 1− 2mI (I) 2 q 2 Σu (q, ω) . (22) October 29, 2008 9:59 WSPC/INSTRUCTION FILE Campbell Many-Boson Dynamic Correlations 13 (I) The final form of the dispersion relation, expressed in terms of Σu (q, ω), is then 1− 2 2 q 2mI 2mI (I) 2 q 2 Σu (q, ω) = ω. (23) To make contact with previous theories, if one sets δu3 to zero and makes the uniform limit approximation in the two-body equation (17), the second-order BrillouinWigner form of the self-energy is obtained: Σ(I) u (q, ω) = 1 N 2 δq+p+p ,0 p,p V (I;I,B) (q; p, p ) ω − tI (p) − ε(p ) + iη (24) where V (I;I,B) (q; p, p ) is the coupling matrix element of a “Feynman” impurity state to a two excitation state comprising a “Feynman” impurity state of wavenumber p and a Feynman host-excitation (phonon-roton spectrum) of the host 4 He fluid; tI (q) is the impurity free particle dispersion relation and ε(p ) is the Feynman phonon-roton spectrum.