Microscopic calculations for normal and polarized liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Manousakis, Efstratios; Fantoni, S.; Pandharipande, V.R.; Usmani, Q. N.

doi:10.1103/physrevb.28.3770

Cited by 157 publications

(79 citation statements)

References 25 publications

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“…However, as no exact method to compute them is presently known, at least in the frame of the integral equations, one has to resort to some approximation. Among the available schemes [27][28][29] we have chosen the scaling approximation ͑SA͒, developed for both the energy and the one-body density matrix of pure phases, 8,9,14,15 and satisfactorily reproducing VMC calculations. Although the number of elementary diagrams in the mixture is much larger, it is straightforward to generalize the pure phases scaling approximation to our case.…”

Section: Scaling Approximation For the Elementary Diagramsmentioning

confidence: 99%

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Momentum distributions in3He−4Heliquid mixtures

1997

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We present variational calculations of the one-body density matrices and momentum distributions for 3 He mixtures in the zero-temperature limit, in the framework of the correlated basis functions theory. The ground-state wave function contains two-and three-body correlations and the matrix elements are computed by ͑Fermi͒ hypernetted chain techniques. The dependence on the 3 He concentration (x 3 ) of the 4 He condensate fraction (n 0 (4) ) and of the 3 He pole strength (Z F ) is studied along the Pϭ0 isobar. At low 3 He concentrations, the computed 4 He condensate fraction is not significantly affected by the 3 He statistics. Despite the low x 3 values, Z F is found to be quite smaller than that of the corresponding pure 3 He because of the strong 3 He-4 He correlations and of the overall, large total density . A small increase of n 0 (4) along x 3 is found, which is mainly due to the decrease of with respect to the pure-4 He phase. ͓S0163-1829͑97͒03242-6͔

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Section: Scaling Approximation For the Elementary Diagramsmentioning

confidence: 99%

“…This type of correlated wave function has been useful in effectively studying the pure phases. 8,9,14,15 Two of us 16 ͑A.P. and A.F.͒ derived the hypernetted and Fermi hypernetted chain ͑HNC/FHNC͒ equations for the momentum distributions of the mixtures using trial wave functions with only pair correlations.…”

Section: Introductionmentioning

confidence: 99%

Momentum distributions in3He−4Heliquid mixtures

1997

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“…We study the BRS state for 1/2 filling of the valence LL ͑i.e., ϭM ϩ1/2, with M an integer͒ by using the Fermi hypernetted-chain ͑FHNC͒ method. [31][32][33][34][35] This method allows us to compute physical quantities in the thermodynamic limit, without the limitations of using a finite number of particles that hinder other techniques, where the extrapolation of the results to the thermodynamic limit is not totally unambiguous.…”

Section: Introductionmentioning

confidence: 99%

Fermi hypernetted-chain study of half-filled Landau levels with broken rotational symmetry

Ciftja

Wexler

2002

Phys. Rev. B

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We investigate broken rotational symmetry ͑BRS͒ states at half-filling of the valence Landau level ͑LL͒. We generalize Rezayi and Read's ͑RR͒ trial wave function, a special case of Jain's composite fermion ͑CF͒ wave functions, to include anisotropic coupling of the flux quanta to electrons, thus generating a nematic order in the underlying CF liquid. Using the Fermi hypernetted-chain method, which readily gives results in the thermodynamic limit, we determine the properties of these states in detail. By using the anisotropic pair distribution and static structure functions we determine the correlation energy and find that, as expected, RR's state is stable in the lowest LL, whereas BRS states may occur at half-filling of higher LL's, with a possible connection to the recently discovered quantum Hall liquid crystals.

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“…To this end we perform a variational calculation in the framework of the Fermi hypernetted chain equations (FHNC) [18,19,23]. Although not exact, this method has been successfully used in the past to describe strongly interacting liquids like pure 3 He [24][25][26], 3 He- 4 He mixtures [27], and nuclear matter [28,29], and is therefore expected to accurately describe the physics of the present problem, We use a variational Slater-Jastrow wave function of the form…”

Section: Resultsmentioning

confidence: 99%

Ferromagnetic transition of a two-component Fermi gas of hard spheres

et al. 2012

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We use microscopic many-body theory to analyze the problem of itinerant ferromagnetism in a repulsive atomic Fermi gas of hard spheres. Using simple arguments we show that the available theoretical predictions for the onset of the ferromagnetic transition predict a transition point at a density (k F a ∼ 1) that is too large to be compatible with the universal low-density expansion of the energy. We present variational calculations for the hard-sphere Fermi gas, in the framework of Fermi hypernetted chain theory, that shift the transition to higher densities (k F a ∼ 1.8). Backflow correlations, which are mainly active in the unpolarized system, are essential for this shift.

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Microscopic calculations for normal and polarized liquidHe3

Cited by 157 publications

References 25 publications

Momentum distributions in3He−4Heliquid mixtures

Momentum distributions in3He−4Heliquid mixtures

Fermi hypernetted-chain study of half-filled Landau levels with broken rotational symmetry

Ferromagnetic transition of a two-component Fermi gas of hard spheres

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