Dissipative superfluid mass flux through solid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">He</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

Vekhov, Ye.; Hallock, R. B.

doi:10.1103/physrevb.90.134511

Cited by 23 publications

(31 citation statements)

References 71 publications

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“…The disipative flow is given by a similar formula to the formula for the The quantity ( ) 11,11 , , R x x t t ′ ′ − is to comparable with with the Hallock experimental results discussed by [20].…”

Section: The Dissipative Superfluid Flow Through Solid 4 Hesupporting

confidence: 77%

“…The series of experiments performed by [20] show a flow of a superfluid through (to treat exactly the disorder we need to use the replicas trick).…”

Section: The Dissipative Superfluid Flow Through Solid 4 Hementioning

confidence: 99%

“…We propose to explain the experiment [20] by applying two principles introduced in this paper : a-The coordinate transformation, b-The identification of the analog of the Majorana modes. We consider a model with two leads connected to a superfluid reservoirs which are described in the Bosonic language of a Luttinger liquid.…”

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confidence: 99%

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The Dissipative Flow in Topological Superconductors and Solid <sup>4</sup>He

Schmeltzer¹

2017

JMP

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Using two piezoelectric transducers, one measures the stress tensor response from the strain field generated by the second transducer. The ratio between the stress response and strain velocity determines the dissipative response. In the first part, we show that the dissipative stress response can be used for studying excitations in a topological superconductor. We investigate a topological superconductor for the case when an Abrikosov vortex lattice is formed. In this case, the Majorana fermions are dispersive, a fact that is used to compute the dissipative stress response. In the second part, we analyse the dissipative superfluid flow through solid 4 He discoused recently. We identify low energy, an excitation which plays the role of the Majorana mode which is free to move in a direction perpendicular to the two dimensional plane spaces of the dislocations.

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Section: The Dissipative Superfluid Flow Through Solid 4 Hesupporting

confidence: 77%

“…The series of experiments performed by [20] show a flow of a superfluid through (to treat exactly the disorder we need to use the replicas trick).…”

Section: The Dissipative Superfluid Flow Through Solid 4 Hementioning

confidence: 99%

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The Dissipative Flow in Topological Superconductors and Solid <sup>4</sup>He

Schmeltzer¹

2017

JMP

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“…The maximum flux values are typically constrained by the solid helium sample. But for the lower cell temperatures, the constraint can imposed by the temperature of the reservoir at the upper end of the Vycor which restricts the magnitude of the flux, as shown previously [16]. The dashed line in Fig.…”

Section: Flux Dependence On ∆µmentioning

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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“…We find that the employed wave function is an excellent candidate for describing both a first-order quantum phase transition and the ground state of a Bose solid. Properties of solid 4 He have regained attention due to a host of unexpected physics discovered in the past decade [1][2][3][4][5][6][7][8]. Most of the new features occur close to absolute zero and are believed to be primarily driven by quantum effects.…”

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confidence: 99%

Quantum phase transition with a simple variational ansatz

et al. 2014

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We study the zero-temperature quantum phase transition between liquid and hcp solid 4 He. We use the variational method with a simple yet exchange-symmetric and fully explicit wave function. It is found that the optimized wave function undergoes spontaneous symmetry breaking and describes the quantum solidification of helium at 22 atm. The explicit form of the wave function allows us to consider various contributions to the phase transition. We find that the employed wave function is an excellent candidate for describing both a first-order quantum phase transition and the ground state of a Bose solid. Properties of solid 4 He have regained attention due to a host of unexpected physics discovered in the past decade [1][2][3][4][5][6][7][8]. Most of the new features occur close to absolute zero and are believed to be primarily driven by quantum effects. Consequently, the solidification of 4 He came under renewed scrutiny. The role of quantum statistics in the transition location has been recently revisited in Ref. [9]. At small but nonzero temperatures, indistinguishability of particles destabilizes the quantum solid. Distinguishable particles, on the other hand, would solidify even at low pressures, with the phase diagram reminiscent of the Pomeranchuk effect [10,11]. The feature was dubbed in [9] as thermocrystallization. A similar effect was seen numerically for the Wigner-crystallization of a two-dimensional Coulomb system [12]. The solidification of 4 He at zero temperature was revisited in Ref. [13] with the density functional theory (DFT). Results were improved compared with previous DFT studies.In this paper, we show that the quantum solidification of 4 He can be considered variationally, with a single explicit wave-function which selects the phase through optimization of the thermodynamic potential. Quite surprisingly, we find that the phase transition is predicted properly, given the relative simplicity of the wave function. While the variational treatment is used for quantum phase transitions at the mean-field level [14], it is relatively uncommon that a (discontinuous) transition can be described with a microscopic wave function. The finding is also interesting in light of growing interest to the first-order quantum phase transitions [15,16].At zero temperature, the phases of 4 He can be studied in an essentially exact form with a family of projector methods, including Green's-function Monte Carlo [17,18] [23,24], and describe the transition [25][26][27] and coexistence [28] between the two phases. The SWFs can be seen as representing a single step of a projection calculation [23]. The projection is carried out by performing the numerical integration of the shadow degrees of freedom. In this sense, the SWF is not fully explicit, as one cannot write down the result of such an integration. We consider SWF calculations as a class of their own, in between the exact projection methods and the simple and fully explicit wave function used here.Highly effective wave functions have been developed over the years...

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Dissipative superfluid mass flux through solidHe4

Cited by 23 publications

References 71 publications

The Dissipative Flow in Topological Superconductors and Solid <sup>4</sup>He

The Dissipative Flow in Topological Superconductors and Solid <sup>4</sup>He

Mass superflux in solid helium: The role ofHe3impurities

Quantum phase transition with a simple variational ansatz

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Dissipative superfluid mass flux through solidHe4

Cited by 23 publications

References 71 publications

The Dissipative Flow in Topological Superconductors and Solid &lt;sup&gt;4&lt;/sup&gt;He

The Dissipative Flow in Topological Superconductors and Solid &lt;sup&gt;4&lt;/sup&gt;He

Mass superflux in solid helium: The role ofHe3impurities

Quantum phase transition with a simple variational ansatz

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The Dissipative Flow in Topological Superconductors and Solid <sup>4</sup>He

The Dissipative Flow in Topological Superconductors and Solid <sup>4</sup>He