Elementary excitations in superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">−</mml:mi></mml:mrow><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><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>He mixtures: Pressure and temperature dependence

Fåk, B.; Guckelsberger, K.; Körfer, M.; Scherm, R.; Dianoux, A.J.

doi:10.1103/physrevb.41.8732

Cited by 83 publications

(35 citation statements)

References 38 publications

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“…29 8.608 ± 0.01 0.0262 7.43 ± 0.34 7.22 ± 0. 27 7.3 ± 0.02 Figure 6: Impurity 3 He quasi-particle peak in superfluid 4 He at SVP for several wave vectors; in the inset the extracted excitation energies are shown together with experimental data 32 .…”

Section: Results For Helium Systemsmentioning

confidence: 99%

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Ab initiolow-energy dynamics of superfluid and solidH4e

et al. 2010

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We have extracted information about real time dynamics of 4 He systems from noisy imaginary time correlation functions f (τ ) computed via Quantum Monte Carlo (QMC): production and falsification of model spectral functions s(ω) are obtained via a survival-to-compatibility with f (τ ) evolutionary process, based on Genetic Algorithms. Statistical uncertainty in f (τ ) is promoted to be an asset via a sampling of equivalent f (τ ) within the noise, which give rise to independent evolutionary processes. In the case of pure superfluid 4 He we have recovered from exact QMC simulations sharp quasi-particle excitations with spectral functions displaying also the multiphonon branch. As further applications, we have studied the impuriton branch of one 3 He atom in liquid 4 He and the vacancy-wave excitations in hcp solid 4 He finding a novel roton like feature.

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Section: Results For Helium Systemsmentioning

confidence: 99%

“…Another interesting test case is provided by liquid 4 He in presence of one 3 He impurity, in order to extract the impurity branch which has been experimentally measured 32 . Variational results for such branch are known 33 but no results from exact QMC are available.…”

Section: B Impurity and Vacancy Dynamicsmentioning

confidence: 99%

Ab initiolow-energy dynamics of superfluid and solidH4e

et al. 2010

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“…[24,25] We have used the value b = −0.074 at all densities. Three calculations have been carried out to determine the Fermi-liquid contributions to the effective mass of the 3 He component as a function of concentration and density.…”

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confidence: 99%

Concentration Dependence of the Effective Mass of3HeAtoms in3He
Krotscheck
¹
,
Saarela
²
,
Schörkhuber
³

et al. 1998
Phys. Rev. Lett.
63
1
13
0
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Recent measurements by Yorozu et al. (S. Yorozu, H. Fukuyama, and H. Ishimoto, Phys. Rev. B 48, 9660 (1993)) as well as by Simons and Mueller (R. Simons and R. M. Mueller, Czhechoslowak Journal of Physics Suppl. 46, 201 (1976)) have determined the effective mass of 3 He atoms in a 3 He-4 He-mixture with great accuracy. We here report theoretical calculations for the dependence of that effective mass on the 3 He concentration. Using correlated basis functions perturbation theory to infinite order to compute effective interactions in the appropriate channels, we obtain good agreement between theory and experiment.

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“…Both experimentalists and theoreticians have devoted a great deal of effort to measure and explain the characteristics of one 3 He impurity in atomic liquid 4 He. From the experimental point of view it is well known how the impurity chemical potential 3 behaves with temperature and pressure, 1 its effective mass m 3 * and quasiparticle excitation spectrum e(q).…”

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3Heimpurity excitation spectrum in liquid4He

Fabrocini

Polls

1998

Phys. Rev. B

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We microscopically evaluate the excitation spectrum of the 3 He impurity in liquid 4 He at Tϭ0 and compare it with the experimental curve at equilibrium density. The adopted correlated basis perturbative scheme includes up to two independent phonons, intermediate correlated states, and the correlation operator is built up with two-and three-body correlation functions. The experimental spectrum is well described by the theory along all the available momentum range. A marked deviation from the simple Landau-Pomeranchuck quadratic behavior is found and the momentum-dependent effective mass of the impurity increases by ϳ50% at q ϳ1.7 Å Ϫ1 with respect to its qϭ0 value. 6 There are also theoretical indications of a deviation of the spectrum from the LP form. 7,8 The presence of a possible rotonlike structure in e(q) near the crossing with the 4 He phonon-roton spectrum was supposed in Ref. 9 but not confirmed in Refs. 7, 8. However, in Ref. 8 an excitation spectrum quite higher than the experimental one was found.Here we will employ the CBF machinery of Ref. 5 ͑here-after denoted as I͒ to compute, in a microscopic way, the whole impurity spectrum. The CBF basis used in I consisted in correlated n-phonon states He correlation functionsand F 3 is given by the correspondent product of triplet correlations f (␣,␤,␥) (r ␣ ,r ␤ ,r ␥ ). The correlation functions are variationally obtained by minimizing the g.s. energy of the system E 0 . The procedure is outlined in I, where a parametrized form for the triplet correlations was used and the Jastrow factors were obtained by the Euler equations ␦E 0 /␦ f (␣␤) ϭ0. The equations were solved within the hypernetted chain ͑HNC͒ framework and the scaling approximation for the elementary diagrams. 11The Aziz interatomic potential 12 was used in the minimization process.The perturbative calculation of I included one independent phonon ͑OIP͒ and two independent phonon ͑TIP͒ states and all the diagrams corresponding to successive rescatterings of the one phonon ͑ROP͒ states. This contribution was obtained by solving a Dysonlike equation in the correlated basis. While the correlation factors are intended to care for the short-range modifications of the ground state wave function due to the strongly repulsive interatomic potential, the PHYSICAL REVIEW B 1 SEPTEMBER 1998-I VOLUME 58, NUMBER 9 PRB 58 0163-1829/98/58͑9͒/5209͑4͒/$15.00 5209

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Elementary excitations in superfluid−43He mixtures: Pressure and temperature dependence

Cited by 83 publications

References 38 publications

Ab initiolow-energy dynamics of superfluid and solidH4e

Ab initiolow-energy dynamics of superfluid and solidH4e

Concentration Dependence of the Effective Mass of3HeAtoms in3He
Krotscheck
¹
,
Saarela
²
,
Schörkhuber
³

et al. 1998
Phys. Rev. Lett.
63
1
13
0
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3Heimpurity excitation spectrum in liquid4He

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Elementary excitations in superfluid−43He mixtures: Pressure and temperature dependence

Cited by 83 publications

References 38 publications

Ab initiolow-energy dynamics of superfluid and solidH4e

Ab initiolow-energy dynamics of superfluid and solidH4e

Concentration Dependence of the Effective Mass of3HeAtoms in3HeKrotscheck1, Saarela2, Schörkhuber3 et al. 1998Phys. Rev. Lett.631130View full textAdd to dashboardCite

3Heimpurity excitation spectrum in liquid4He

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About

Concentration Dependence of the Effective Mass of3HeAtoms in3He
Krotscheck
¹
,
Saarela
²
,
Schörkhuber
³

et al. 1998
Phys. Rev. Lett.
63
1
13
0
View full text Add to dashboard Cite