Helium Three

Dobbs, Roland

doi:10.1093/acprof:oso/9780198506409.001.0001

Cited by 42 publications

(44 citation statements)

References 1,173 publications

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“…A softer core potential with intermediate range attraction may be relevant to understanding the mobility of positive ions in 3 He-A, given that the positive ion attracts 3 He to form a "snowball" of 3 He atoms with increased density relative to bulk 3 He. 30 Indeed preliminary measurements of the longitudinal and transverse forces on a positive ion in 3 He-A show different magnitudes and temperature dependences for the longitudinal mobility and anomalous Hall ratio compared to the negative ion. 9 However, a detailed theoretical description of the structure and transport properties of the positive ion is outside the scope of this report.…”

Section: Beyond the Hard Sphere Potentialmentioning

confidence: 96%

“…26 When an electric field pushes the electron into Helium the combination of the barrier, the surface tension and zero-point kinetic energy of the electron conspire to form a self-trapped electron in a spherical void of radius R, an "electron bubble". [27][28][29][30] The basic model of an electron bubble in liquid 3 He is based on an energy function that consists of three terms, 27,31…”

Section: Electron Bubbles In Liquid 3 Hementioning

confidence: 99%

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Electron bubbles and Weyl fermions in chiral superfluidHe3−A

Shevtsov

Sauls

2016

Phys. Rev. B

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Electrons embedded in liquid 3 He form mesoscopic bubbles with radii large compared to the interatomic distance between 3 He atoms, voids of N bubble ≈ 200 3 He atoms, generating a negative ion with a large effective mass that scatters thermal excitations. Electron bubbles in chiral superfluid 3 He-A also provide a local probe of the ground state. We develop scattering theory of Bogoliubov quasiparticles by negative ions embedded in 3 He-A that incorporates the broken symmetries of 3 He-A, particularly broken symmetries under time-reversal and mirror symmetry in a plane containing the chiral axisl. Multiple scattering by the ion potential, combined with branch conversion scattering by the chiral order parameter, leads to a spectrum of Weyl Fermions bound to the ion that support a mass current circulating the electron bubble -the mesoscopic realization of chiral edge currents in superfluid 3 He-A films. A consequence is that electron bubbles embedded in 3 He-A acquire angular momentum, L ≈ −(N bubble /2)hl, inherited from the chiral ground state. We extend the scattering theory to calculate the forces on a moving electron bubble, both the Stokes drag and a transverse force, F W = e c v × B W , defined by an effective magnetic field, B W ∝l, generated by the scattering of thermal quasiparticles off the spectrum of Weyl Fermions bound to the moving ion. The transverse force is responsible for the anomalous Hall effect for electron bubbles driven by an electric field reported by the RIKEN group. Our results for the scattering cross section, drag and transverse forces on moving ions are compared with experiments, and shown to provide a quantitative understanding of the temperature dependence of the mobility and anomalous Hall angle for electron bubbles in normal and superfluid 3 He-A. We also discuss our results in relation to earlier work on the theory of negative ions in superfluid 3 He.

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Section: Beyond the Hard Sphere Potentialmentioning

confidence: 96%

Section: Electron Bubbles In Liquid 3 Hementioning

confidence: 99%

Electron bubbles and Weyl fermions in chiral superfluidHe3−A

Shevtsov

Sauls

2016

Phys. Rev. B

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“…Once taking that step, the situation is even more favorable than in case of nuclei. The ab initio calculations for 3 He matter have converged to generally accepted, satisfying degree of reliability [12] and there exists experimental access to bulk 3 He over a wide range of pressures [13]. Both facts provide well tested data as input for a proper calibration of density functionals.…”

Section: Mean-field: a Possible Common Theorymentioning

confidence: 98%

Small fermionic systems: The common methods and challenges

2006

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Abstract. We discuss three finite Fermion systems in comparison: nuclei, metal clusters, and droplets of liquid 3 He. A principle sorting in "natural units" of energy and length scales is given. We address the theoretical description in terms of self-consistent mean-field theories and their effective energy-density functionals. We look at the interplay of the different time scales from the various constituents of either system. Finally, we discuss the prospects of more detailed experimental analysis for the case of metal clusters, in particular in the non linear domain where truly dynamical behaviors are expected.

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“…The criterion in Eq. (2) is well satisfied at ε A 0.5ε F , where ε F 0.016 − 0.025 eV (for UPt 3 [41]), ε F 0.1 − 0.3 eV (for organic compounds [36]), ε F 4.4 × 10 −4 eV (for liquid 3 He [42]) and ε F 10 −10 eV (for ultracold atomic Fermi gases [43]). For the mass density of nuclear matter ρ M 10 11 g/cm 3 [44], we find ε F 0.38 MeV.…”

Section: Criterion For Bosonization Of Cooper Pairsmentioning

confidence: 99%

Bosonization of Cooper pairs and novel Bose-liquid superconductivity and superfluidity in high-Tc cuprates and other exotic systems

Dzhumanov

2019

Physica A: Statistical Mechanics and its Applications

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Helium Three

Cited by 42 publications

References 1,173 publications

Electron bubbles and Weyl fermions in chiral superfluidHe3−A

Electron bubbles and Weyl fermions in chiral superfluidHe3−A

Small fermionic systems: The common methods and challenges

Bosonization of Cooper pairs and novel Bose-liquid superconductivity and superfluidity in high-Tc cuprates and other exotic systems

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