Spin-dependent correlations in the ground state of 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>

Viviani, M.; Buendı́a, E.; Fantoni, S.; Rosati, S.

doi:10.1103/physrevb.38.4523

Cited by 89 publications

(29 citation statements)

References 29 publications

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“…Better results are obtained if this factor contains also explicit triplets terms. [12][13][14] The second factor is antisymmetric, and of the form of a Slater determinant of plane waves. In the absence of spin-flip terms both in the Hamiltonian and in the correlations, the Slater determinant can be decomposed in the product of two such determinants, one for particles with spin up and one for those of spin down.…”

Section: Introductionmentioning

confidence: 99%

Shadow wave function for liquid and solidHe3

et al. 1996

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The ideas of the shadow wave function are applied to construct a variational wave function to describe the liquid and the solid phase of a system that obeys Fermi statistics. The shadow variables are introduced in the symmetric correlating factor. The antisymmetric part is a standard determinant of plane waves modified by backflow effect. Variational Monte Carlo calculations for 3 He provide ground-state energies in the liquid phase at the level of the most elaborate trial function available in the literature. With this wave function, properties like translational invariance and antisymmetry under particle interchange are maintained even in the crystalline phase.

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Section: Introductionmentioning

confidence: 99%

Shadow wave function for liquid and solidHe3

et al. 1996

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“…In our FHNC calculations, the sum of elementary diagrams is approximated using the interpolating equation approximation [24,25]. The results obtained with this wave function (9) are compared with those obtained from a less sophisticated version where backflow correlations are removed.…”

Section: Resultsmentioning

confidence: 99%

“…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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“…Higher-order correlations are considered in terms of statistically irreducible two-body correlations. Derived from this scheme is Nosanow's cluster expansion [11], where an expansion for the energy consistent with the Rayleigh-Ritz variational principle is obtained as (1) the n-th-order term being (2) When the cluster expansion is truncated after the second term, a convenient choice for the trial wave function is the lastrow form [12], i.e. …”

Section: -Scheme Of Calculationsmentioning

confidence: 99%

LOCV calculations for intermediate phases of nuclear spin-polarized liquid3He ν ↑

Skjetne

Østgaard

1998

Nouv Cim D

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Liquid 3He! is studied in a constrained variational approach, where the truncation of the cluster expansion is accounted for by means of an adjustment to the conditions of healing on a two-body lastrow function, The scheme of calculations involved is very rapid, enabling a detailed study of ground-state saturation properties for intermediate phases of nuclear spin-polarization, Imposing certain consistency requirements on the energy levels E (po, v), the equilibrium density po displays a distinct variation with v, Results obtained with the HFDHE2, HFD-B(HE) and HFD-B2 twobody interaction models are presently reported, PACS 67,65 -Spin-polarized hydrogen and helium. PACS 05,30,Fk -Fermion systems and electron gas, L -IntroductionIn the bulk aggregate, the weak nature of forces between He atoms, in combination with low nuclear masses, is the cause of a large "zero-point" motion which prevents solidification as the temperature decreases, Helium thus remains a liquid down to absolute zero, providing a unique test case as far as many-body quantum theory is concerned, Previous studies of liquid 3He concentrate on the unpolarized and the fully spin-polarized phases, the best results having been obtained in Fermi hypernetted-chain (FHNC) calculations and Monte Carlo computer simulations [1-3], To our knowledge, however, the overall ground-state energetics of liquid 3He have not been studied previously Presently, results for intermediately spin-polarized liquid 3He (liquid 3Het, where the arrow superscript means nuclear spin-polarization and the v subscript denotes the spin degeneracy) are reported using a modified lowest-order constrained variational (LOCV) method [4,5], In our calculations an interval, rather than a definite estimate, is initially obtained for E(po) v), Within 1 ::; v ::; 2, an application of realistic constraints to the C*) The authors of this paper have agreed to not receive the proofs for correction,

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Spin-dependent correlations in the ground state of liquidHe3

Cited by 89 publications

References 29 publications

Shadow wave function for liquid and solidHe3

Shadow wave function for liquid and solidHe3

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

LOCV calculations for intermediate phases of nuclear spin-polarized liquid3He ν ↑

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