Local superfluidity at the nanoscale

Kulchytskyy, Bohdan; Gervais, G.; Maestro, Adrian Del

doi:10.1103/physrevb.88.064512

Cited by 30 publications

(32 citation statements)

References 28 publications

(39 reference statements)

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“…As concerning a comparison with other light elements, helium also has an interaction potential of van der Waals type. For 4 He data are available only for selected densities in narrow quasi-1D nanopores, correspoding to quasi-crystal regime [50][51][52]. The density dependence of the Luttinger parameter in 3 He in 1D [35] is overall quite similar to that of deuterium and tritium, with a similar location of the maximum, at ρ≈0.05 Å −1 .…”

Section: Discussionmentioning

confidence: 99%

One dimensional¹H,²H and³H

et al. 2016

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The ground-state properties of one-dimensional electron-spin-polarized hydrogen 1 H, deuterium 2 H, and tritium 3 H are obtained by means of quantum Monte Carlo methods. The equations of state of the three isotopes are calculated for a wide range of linear densities. The pair correlation function and the static structure factor are obtained and interpreted within the framework of the Luttinger liquid theory. We report the density dependence of the Luttinger parameter and use it to identify different physical regimes: Bogoliubov Bose gas, super-Tonks-Girardeau gas, and quasi-crystal regimes for bosons; repulsive, attractive Fermi gas, and quasi-crystal regimes for fermions. We find that the tritium isotope is the one with the richest behavior. Our results show unambiguously the relevant role of the isotope mass in the properties of this quantum system.

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Section: Discussionmentioning

confidence: 99%

One dimensional¹H,²H and³H

et al. 2016

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“…The results also suggest that the presence of 3 He does not destroy the apparent Luttinger-like behavior of the flux. More experimental and theoretical study of solid helium and 1D superfluidity [7,31,43] and its pressure dependence are certainly needed.…”

Section: Discussionmentioning

confidence: 99%

Mass superflux in solid helium: The role ofHe3impurities

Vekhov

Hallock

2015

Phys. Rev. B

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Below ∼ 630 mK, the 4 He atom mass flux, F , that passes through a cell filled with solid hcp 4 He in the pressure range 25.6 -26.4 bar, rises with falling temperature and at a temperature T d the flux drops sharply. The flux above T d has characteristics that are consistent with the presence of a bosonic Luttinger liquid. We study F as a function of 3 He concentration, χ = 0.17 − 220 ppm, to explore the effect of 3 He impurities on the mass flux. We find that the strong reduction of the flux is a sharp transition, typically complete within a few mK and a few hundred seconds. Modest concentration-dependent hysteresis is present. We find that T d is an increasing function of χ and the T d (χ) dependence differs somewhat from the predictions for bulk phase separation for Tps vs. χ. We conclude that 3 He plays an important role in the flux extinction. The dependence of F on the solid helium density is also studied. We find that F is sample-dependent, but that the temperature dependence of F above T d is universal; data for all samples scale and collapse to a universal temperature dependence, independent of 3 He concentration or sample history. The universal behavior extrapolates to zero flux in the general vicinity of T h ≈ 630 mK. With increases in temperature, it is possible that a thermally activated process contributes to the degradation of the flux. The possibility of the role of disorder and the resulting phase slips as quantum defects on one-dimensional conducting pathways is discussed.

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“…9, we can consider two different possibilities: (1) The conductivity of each of the presumed conducting paths is temperature dependent or (2) the number of conducting paths present is temperature dependent; or both may be present. With regard to the first mechanism, ρ S for a Luttinger liquid is predicted to depend on temperature [62]. Speaking microscopically in this context, increasing the temperature should also increase the density of jogs and or kinks along a dislocation core.…”

Section: Discussionmentioning

confidence: 99%

Dissipative superfluid mass flux through solidHe4

Vekhov¹,

Hallock²

2014

Phys. Rev. B

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The thermo-mechanical effect in superfluid helium is used to create an initial chemical potential difference, ∆µ0, across a solid 4 He sample. This ∆µ0 causes a flow of helium atoms from one reservoir filled with superfluid helium, through a sample cell filled with solid helium, to another superfluidfilled reservoir until chemical potential equilibrium is restored. The solid helium sample is separated from each of the reservoirs by Vycor rods that allow only the superfluid component to flow. With an improved technique, measurements of the flow, F , at several fixed solid helium temperatures, T , have been made as function of ∆µ in the pressure range 25.5 -26.1 bar. And, measurements of F have been made as a function of temperature in the range 180 < T < 545 mK for several fixed values of ∆µ. The temperature dependence of the flow above 100 mK shows a reduction of the flux with an increase in temperature that is well described by F = F * 0 [1 − a exp(−E/T )]. The non-linear functional dependence F ∼ (∆µ) b , with b < 0.5 independent of temperature but dependent on pressure, documents in some detail the dissipative nature of the flow and suggests that this system demonstrates Luttinger liquid-like one-dimensional behavior. The mechanism that causes this flow behavior is not certain, but is consistent with superflow on the cores of edge dislocations.

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Local superfluidity at the nanoscale

Cited by 30 publications

References 28 publications

One dimensional¹H,²H and³H

One dimensional¹H,²H and³H

Mass superflux in solid helium: The role ofHe3impurities

Dissipative superfluid mass flux through solidHe4

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Local superfluidity at the nanoscale

Cited by 30 publications

References 28 publications

One dimensional1H,2H and3H

One dimensional1H,2H and3H

Mass superflux in solid helium: The role ofHe3impurities

Dissipative superfluid mass flux through solidHe4

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Product

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One dimensional¹H,²H and³H

One dimensional¹H,²H and³H