On the possible nature of the electric activity of HeII

Локтев, В. М.; Tomchenko, Maksim

doi:10.1063/1.2911650

Cited by 26 publications

(27 citation statements)

References 11 publications

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“…It was assumed in work [2] that such a stationary DM arises in a roton due to the mutual polarization of atoms, and the probability of the p-photon → p-phonon transition is proportional to d r . It was also proposed in [15] that a vortex ring possesses an intrinsic DM. However, both quasiparticles create the reciprocal motion of atoms: a part of atoms moves forward, but the similar part moves backward.…”

Section: Discussionmentioning

confidence: 99%

“…This implies that the DM is zero. It was considered in [15] that, by the CPT-theorem, the charges also change their signs at t → −t, which gives d qp = 0. However, the change t → −t in the equation can be performed formally without any connection with the time arrow.…”

Section: Discussionmentioning

confidence: 99%

“…The electron part, F el f i , of the total matrix element (15) can be calculated analogously. The nonzero value of F el f i is determined by the difference…”

Section: ∂ ∂R1mentioning

confidence: 99%

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Theory of a supernarrow roton absorption line in the spectrum of a disk-shaped microwave resonator

Локтев

Tomchenko

2010

Phys. Rev. B

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We calculate the probability of the creation of a circular phonon (c-phonon) in He II by a cphoton of the resonator. It is shown that this probability has sharp maxima at frequencies, where the effective group velocity of the c-phonon is equal to zero; the density of states of c-phonons strongly grows at such frequencies. For He II, these frequencies correspond to a roton and a maxon. From the probability of the c-roton creation, we calculate the roton line width which is found to approximately agree with the experimental one. We conclude that the roton line observed in the super-high-frequency (SHF) absorption spectrum of helium is related to the creation of c-rotons. A possible interpretation of the Stark effect observed for the roton line is also proposed. Keywords: liquid 4 He, microwave resonator, circular roton, supernarrow absorption line. I. INRODUCTIONIn the recent works [1,2], an unconventional effect was discovered. In a dielectric disk-shaped resonator placed in liquid 4 He, the azimuth (l-)modes were excited. These modes are of the "whispering-gallery" type and represent a superposition of standing and running resonance electromagnetic (EM) waves of the SHF range in a narrow frequency interval. At the roton frequency ν rot = ∆ rot /2π = 180.3 GHz, the supernarrow absorption line with the width △ν ≃ 50 kHz was observed in the SHF spectrum of the resonator. This width is by six orders less than that of a roton peak measured in neutron experiments and is comparable with the width of line in the Mössbauer effect. It was assumed in [2] that the line is related to the Van Hove singularity caused by a high density of states of plane (p-) rotons near the roton minimum of the dispersion curve. In this case, however, one is faced with the problem to satisfy the momentum conservation law, since the p-roton momentum is greater than the momentum of a p-photon with the same energy by six orders. Therefore, it was supposed [2] that the excess momentum of a p-roton is transferred to helium as a whole.To clarify this and other points, it is necessary to calculate the probability of the creation of a roton and the widths and the forms of lines for various possible processes, and then to choose a process explaining the experiment. It is necessary to take into account that the EM field of a disk-shaped resonator has the circular (c-) symmetry and is concentrated only near the disk according to measurements [1] and the theory [3]. Since namely * Electronic address: vloktev@bitp.kiev.ua † Electronic address: mtomchenko@bitp.kiev.ua the EM field induces the transition, the latter must be characterized by the c-symmetry. In [3], it was shown that a phonon near a disk possesses also the c-symmetry. Therefore, we assume that the narrow line corresponds to the creation of a c-roton by the EM field of the resonator. Below, we will find the probability of this process and the width of the corresponding absorption line. A number of results required for calculations was obtained in [3]; formulas (N) from that work will be denoted...

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Theory of a supernarrow roton absorption line in the spectrum of a disk-shaped microwave resonator

Локтев

Tomchenko

2010

Phys. Rev. B

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“…Some researchers believe that the dipole moment of a vortex ring is different from zero. 9 Arguments in favor of the dipole moment being zero are presented in Ref. 5.…”

Section: ͑34͒mentioning

confidence: 99%

“…1,2 These experiments elicited great interest and stimulated a series of theoretical studies [3][4][5][6][7][8][9][10][11][12][13][14] in which attempts were made to explain the phenomena observed. A more general problem was posed in some of these works 4 -to investigate the possible mechanisms of the polarization of superfluid and normal systems.…”

Section: Introductionmentioning

confidence: 99%

On the electric polarization of inhomogeneous superfluid systems

Shevchenko

Rukin

2010

Low Temperature Physics

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The electric polarization appearing in superfluid systems as a result of their inhomogeneity is studied. The problem is studied using the rarefied electron-hole gas model which the authors studied previously. A microscopic calculation is performed of the polarization of quantum vortices in the absence and presence of a magnetic field. It is established that in the presence of a magnetic field vortices acquire additional polarization, which results in the appearance of a quantized charge in a vortex core. It is shown that the van-der-Waals interaction of a superfluid system with a solid surface gives rise to polarization near the surface. A relation is established between the results obtained and the prediction of possible polarization of the medium in nonuniform motion.

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Some Mechanisms of “Spontaneous” Polarization of Superfluid He-4

Tomchenko

2009

J Low Temp Phys

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Previously, a quantum "tidal" mechanism of polarization of the atoms of He-II was proposed, according to which, as a result of interatomic interaction, each atom of He-II acquires small fluctuating dipole and multipole moments, oriented chaotically on the average.In this work, we show that, in the presence of a temperature or density gradient in He-II, the originally chaotically oriented tidal dipole moments of the atoms become partially ordered, which results in volume polarization of He-II. It is found that the gravitational field of the Earth induces electric induction △ϕ ∼ 10 −7 V in He-II (for vessel dimensions of the order of 10 cm). We study also the connection of polarization and acceleration, and discuss a possible nature of the electric signal △ϕ ≈ k B △T /2e observed by A. S. Rybalko in experiments with second sound.

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On the possible nature of the electric activity of HeII

Cited by 26 publications

References 11 publications

Theory of a supernarrow roton absorption line in the spectrum of a disk-shaped microwave resonator

Theory of a supernarrow roton absorption line in the spectrum of a disk-shaped microwave resonator

On the electric polarization of inhomogeneous superfluid systems

Some Mechanisms of “Spontaneous” Polarization of Superfluid He-4

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