Investigating the nuclear Schiff moment of<sup>207</sup>Pb in ferroelectric PbTiO<sub>3</sub>

Ludlow, J. A.; Sushkov, O. P.

doi:10.1088/0953-4075/46/8/085001

Cited by 10 publications

(12 citation statements)

References 42 publications

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“…This is 2.3 times more than the value obtained in Hartree-Fock calculations using a cluster model of PbTiO 3 crystal in Ref. [13]. Interestingly that a more rough estimation from Ref.…”

Section: Table I Equilibrium Structural Parameters For Tetragonalmentioning

confidence: 52%

LCAO-based theoretical study of PbTiO3 crystal to search for parity and time reversal violating interaction in solids

Skripnikov

Титов

2016

The Journal of Chemical Physics

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An experiment towards the search for the interaction of the Schiff moment (S) of the (207)Pb nuclei with electrons in PbTiO3 crystal which violates the time reversal (T) and space parity (P) symmetries was proposed by Mukhamedjanov and Sushkov [Phys. Rev. A 72, 034501 (2005)]. The interpretation of the experiment in terms of the Schiff moment requires knowledge of an electronic density gradient parameter (usually designated as X) on the Pb nucleus in the crystal, which is determined by the electronic structure of the crystal. Here we propose a theoretical approach to calculate the properties in solids which are directly sensitive to the changes of valence electron densities in atomic cores but not in the valence spatial regions (Mössbauer parameters, hyperfine structure (HFS) constants, parameters of T,P-odd Hamiltonians, etc. [L. V. Skripnikov and A. V. Titov, Phys. Rev. A 91, 042504 (2015)]). It involves constructing the crystalline orbitals via the linear combination of atomic orbitals and employs a two-step concept of calculating such properties that was earlier proposed by us for the case of heavy-atom molecules. The application of the method to the PbTiO3 crystal results in the energy shift, Δε=0.82×10(6)S((207)Pb)eaB (3)eV, due to the T,P-odd interactions. The value is compared to the corresponding parameter in diatomic molecules (TlF, RaO, PbO), which have been proposed and used in the past decades in the search for the nuclear Schiff moment. We also present the calculation of the electric field gradient at the Pb nucleus in PbTiO3 for the comparison with other solid-state electronic structure approaches.

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“…This is 2.3 times more than the value obtained in Hartree-Fock calculations using a cluster model of PbTiO 3 crystal in Ref. [13]. Interestingly that a more rough estimation from Ref.…”

Section: Table I Equilibrium Structural Parameters For Tetragonalmentioning

confidence: 52%

LCAO-based theoretical study of PbTiO3 crystal to search for parity and time reversal violating interaction in solids

Skripnikov

Титов

2016

The Journal of Chemical Physics

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“…Atomic calculations for many atoms of experimental interest have been performed [175] (see also, e.g., [169,[176][177][178][179]). Calculations have also been performed for molecules (see, e.g., [180]) and solid-state systems [157]. There are several recent nuclear many-body calculations, though the agreement is not ideal; see, e.g., [123,181] and references therein.…”

Section: Nuclear Schiff Momentsmentioning

confidence: 99%

“…A recent proposal to use an atomic fountain experiment to measure the EDMs of alkali atoms is presented in [156]. Experiments to search for EDMs in condensed matter systems have been proposed [157][158][159], and recently performed using Eu 0.5 Ba 0.5 TiO 3 [160].…”

Section: Manifestations Of T Violation In Atoms and Moleculesmentioning

confidence: 99%

Parity and Time-Reversal Violation in Atomic Systems

Roberts

Dzuba

Flambaum

2015

Annu. Rev. Nucl. Part. Sci.

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Studying the violation of parity and time-reversal invariance in atomic systems has proven to be a very effective means for testing the electroweak theory at low energy and searching for physics beyond it. Recent developments in both atomic theory and experimental methods have led to the ability to make extremely precise theoretical calculations and experimental measurements of these effects. Such studies are complementary to direct high-energy searches, and can be performed for just a fraction of the cost. We review the recent progress in the field of parity and time-reversal violation in atoms, molecules, and nuclei, and examine the implications for physics beyond the Standard Model, with an emphasis on possible areas for development in the near future.

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“…The measurements focus on 207 Pb 2+ ions, with nuclear spin I = 1/2, in a poled ferroelectric PMN-PT crystal with the chemical formula: (PbMg 1/3 Nb 2/3 O 3 ) 2/3 − (PbTiO 3 ) 1/3 [53]. The non-centrosymmetric position of the ions in this crystal gives rise to a large effective electric field, analogous to the effect in polar molecules [54][55][56]. The EDM or gradient interaction with axion-like dark matter creates an oscillating torque on the nuclear spins.…”

mentioning

confidence: 99%

“…We recorded hysteresis data before and after the experiments searching for axion-like dark matter, and verified that the fractional degradation of polarization due to thermal cycling and fatigue was smaller than the quoted uncertainty. The effective electric field E * is proportional to the ferroelectric polarization [48,54,55]. In order to calculate the value of E * we considered the Schiff moment S of the 207 Pb nucleus, induced by the oscillating QCD θ parameter [58,59].…”

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confidence: 99%

Search for axion-like dark matter using solid-state nuclear magnetic resonance

Aybas,

Adam,

Blumenthal

et al. 2021

Preprint

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We report the results of an experimental search for ultralight axion-like dark matter in the mass range 162 neV to 166 neV. The detection scheme of our Cosmic Axion Spin Precession Experiment (CASPEr) is based on a precision measurement of 207 Pb solid-state nuclear magnetic resonance in a polarized ferroelectric crystal. Axion-like dark matter can exert an oscillating torque on 207 Pb nuclear spins via the electric-dipole moment coupling g d , or via the gradient coupling g aNN . We calibrated the detector and characterized the excitation spectrum and relaxation parameters of the nuclear spin ensemble with pulsed magnetic resonance measurements in a 4.4 T magnetic field. We swept the magnetic field near this value and searched for axion-like dark matter with Compton frequency within a 1 MHz band centered at 39.65 MHz. Our measurements place the upper bounds |g d | < 7.0 × 10 −4 GeV −2 and |g aNN | < 2.1 × 10 −1 GeV −1 (95% confidence level) in this frequency range. The constraint on g d corresponds to an upper bound of 7.6 × 10 −22 e • cm on the amplitude of oscillations of the neutron electric dipole moment, and 3.2 × 10 −6 on the amplitude of oscillations of CP-violating θ parameter of quantum chromodynamics. Our results demonstrate the feasibility of using solid-state nuclear magnetic resonance to search for axion-like dark matter in the nanoelectronvolt mass range.

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Investigating the nuclear Schiff moment of²⁰⁷Pb in ferroelectric PbTiO₃

Cited by 10 publications

References 42 publications

LCAO-based theoretical study of PbTiO3 crystal to search for parity and time reversal violating interaction in solids

LCAO-based theoretical study of PbTiO3 crystal to search for parity and time reversal violating interaction in solids

Parity and Time-Reversal Violation in Atomic Systems

Search for axion-like dark matter using solid-state nuclear magnetic resonance

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Investigating the nuclear Schiff moment of207Pb in ferroelectric PbTiO3

Cited by 10 publications

References 42 publications

LCAO-based theoretical study of PbTiO3 crystal to search for parity and time reversal violating interaction in solids

LCAO-based theoretical study of PbTiO3 crystal to search for parity and time reversal violating interaction in solids

Parity and Time-Reversal Violation in Atomic Systems

Search for axion-like dark matter using solid-state nuclear magnetic resonance

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Investigating the nuclear Schiff moment of²⁰⁷Pb in ferroelectric PbTiO₃