Hyperfine and Electroweak Interactions in Heavy Finite Fermi Systems and Parity Non-conservation Effect

Khetselius, O. Yu.; Глушков, А. В.; Ternovsky, Eugeny V.; Buyadzhi, V. V.; Mykhailov, O. L.

doi:10.1007/978-3-030-34941-7_4

Cited by 6 publications

(14 citation statements)

References 63 publications

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“…The sets of all total orientations O of G 3 1 can be deduced easily from the cycles equation 85 by using the definition equation (24). So we find:…”

Section: Data Availability Statementmentioning

confidence: 99%

“…High-temperature series expansions (HTS) are a traditional method that can be used to treat any problem in thermodynamics. The previously powerful methods like the finite cluster method [15][16][17][18], linked-cluster expansions [19,20], finite lattice method [21][22][23][24], and the numerical linked-cluster expansions [25,26] are based on the Taylor expansion of the partition function around β(β = 1/T). However, all these methods have a limited series, and progress is mainly due to improving the performance of computers.…”

Section: Introductionmentioning

confidence: 99%

“…From the definitions equation(23) and equation(24), and the values equation (88), then the signs of total orientations are:…”

mentioning

confidence: 99%

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Finite and high-temperature series expansion via many-body perturbation theory: application to Heisenberg spin-1/2 XXZ chain

Tag,

Boudiar,

Mansour

et al. 2024

Phys. Scr.

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We present a new algorithm to evaluate the grand potential at high and finite temperatures using many-body perturbation theory. This algorithm enables us to calculate the contribution of any Hugenholtz or Feynman vacuum diagrams and formulate the results as a sum of divided differences. Additionally, the proposed method is applicable to any interaction in any dimension, allowing us to calculate thermodynamic quantities efficiently at any given temperature, particularly at high temperatures.Furthermore, we apply this algorithm to the Heisenberg spin-1/2 XXZ chain. We obtain all coefficients of the high-temperature expansion of the free energy and susceptibility per site of this model up to the sixth order.

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“…The sets of all total orientations O of G 3 1 can be deduced easily from the cycles equation 85 by using the definition equation (24). So we find:…”

Section: Data Availability Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Finite and high-temperature series expansion via many-body perturbation theory: application to Heisenberg spin-1/2 XXZ chain

Tag,

Boudiar,

Mansour

et al. 2024

Phys. Scr.

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show abstract

“…It closely related to * Author to whom any correspondence should be addressed. humanity, nature, and science [2,3], reflected not only in common objects or scenarios, such as branching trees, stock market fluctuations, or human heartbeat dynamics [4], but also in subtle physical properties and phenomena, such as an energy spectrum [5][6][7] or the growth of copper electrodeposits [8], thereby involving the fields of finance [9], quantum mechanics [10][11][12], optics [13][14][15], and so on [16][17][18][19]. The notion of the fractal, inspired by these natural manifestations, has sparked fresh designs of materials [20,21], photovoltaic and plasmonic devices [22][23][24][25], increasing the means of material property modification or artificial device engineering.…”

Section: Introductionmentioning

confidence: 99%

Spin filtration in generalized Sierpinski triangles in presence of Rashba spin–orbit interaction

Majhi

Maiti

2023

J. Phys. D: Appl. Phys.

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In this work, we theoretically investigate the phenomenon of spin polarization in generalized Sierpinski Gasket (SPG) triangles($\Delta NNN$, $\Delta FNN$, $\Delta FFN$, $\Delta FFF$) in the presence of Rashba spin-orbit interaction (RSOI) within a tight-binding(TB) framework. The geometrical construction is addressed for all four types of generalized SPG triangles using an iterative functionsystem that begins with a fixed triangle of any arbitrary side length. The geometry of various types of fractal networks has a majorimpact on the degeneracy of the energy spectrum. It is shown that only the two-terminal setup in the presence of Rashba spin-orbitinteraction is incapable of breaking the spin degeneracy, which necessitates the use of a three-terminal setup to break thetime-reversal symmetry. The effect of flip map induced anisotropic hopping integrals on three-terminal spin-resolved transmissionprobabilities is studied. In several cases, we find almost $100\%$ spin polarization in our considered lattices. We also analyze howspin polarization varies with Rashba spin-orbit interaction strength and fractal generations. Our results indicate that fractal latticesmight be suitable functional elements in designing future spin-based electronic devices.

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“…In the interaction of laser with the matter, the coherent transfer of population in atomic systems has been interested because of its applications in various branches of physics [1][2][3][4][5][6][7][8][9][10][11][12]. Stimulated Raman adiabatic passage (STIRAP) [13][14][15][16][17][18] is one of the most prominent techniques in the quantum optics, which transfers the population from the first ground state to the another ground state in a Λ-like three state system without populating the excited state.…”

Section: Introductionmentioning

confidence: 99%

Coherent population transfer in the interaction of five-state nuclei with x-ray lasers using chain-STIRAP technique

Amiri

Saadati-Niari

2023

Phys. Scr.

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The complete population transfer from the ﬁrst state to the ﬁfth one in a ﬁve-state nuclear system that interacts with four X-ray laser pulses has been theoretically studied using the chain-STIRAP technique. In this scheme, it is assumed that the accelerated nucleus interacts with four X-ray laser pulses, and the relativistic factor is adjusted so that the resonance condition is established between the X-ray laser frequencies and the transition frequency of the nucleus. In this study, by establishing the adiabatic condition, the Hamiltonian of the system remains in the dark state. Therefore, the second and fourth states are not populated during the time evolution. Also, to eliminate the population of the third state during the interaction, the middle pulses are considered more signiﬁcant compared to the ﬁrst and last pulses. For the numerical study, 168Er is considered and, it is shown that the population is completely transferred from the ﬁrst state to the ﬁfth state.

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Hyperfine and Electroweak Interactions in Heavy Finite Fermi Systems and Parity Non-conservation Effect

Cited by 6 publications

References 63 publications

Finite and high-temperature series expansion via many-body perturbation theory: application to Heisenberg spin-1/2 XXZ chain

Finite and high-temperature series expansion via many-body perturbation theory: application to Heisenberg spin-1/2 XXZ chain

Spin filtration in generalized Sierpinski triangles in presence of Rashba spin–orbit interaction

Coherent population transfer in the interaction of five-state nuclei with x-ray lasers using chain-STIRAP technique

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