scholarly journals Impurity-Induced Magnetization of Graphene

Materials ◽  
2022 ◽  
Vol 15 (2) ◽  
pp. 526
Author(s):  
Michał Inglot ◽  
Tomasz Szczepański
Keyword(s):  
Dirac Point ◽  
Bessel Functions ◽  
Magnetic Impurity ◽  
Energy Levels ◽  
Resonance Energy ◽  
Coupling Constant ◽  
Impurity States ◽  
Impurity Potential ◽  
Single Impurity ◽  
Massless Fermions

We present a model of impurity-induced magnetization of graphene assuming that the main source of graphene magnetization is related to impurity states with a localized spin. The analysis of solutions of the Schrödinger equation for electrons near the Dirac point has been performed using the model of massless fermions. For a single impurity, the solution of Schrödinger’s equation is a linear combination of Bessel functions. We found resonance energy levels of the non-magnetic impurity. The magnetic moment of impurity with a localized spin was accounted for the calculation of graphene magnetization using the Green’s function formalism. The spatial distribution of induced magnetization for a single impurity is obtained. The energy of resonance states was also calculated as a function of interaction. This energy is depending on the impurity potential and the coupling constant of interaction.

Ground configuration splitting in UCl5

1977 ◽  
Vol 55 (10) ◽  
pp. 937-942 ◽  
Author(s):  
A. F. Leung ◽  
Ying-Ming Poon
Keyword(s):  
Crystal Field ◽  
Energy Levels ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Coupling Constant ◽  
Point Charge Model ◽  
X Ray Crystallography ◽  
Charge Model ◽  
Crystal Field Parameters

The absorption spectra of UCl5 single crystal were observed in the region between 0.6 and 2.4 μm at room, 77, and 4.2 K temperatures. Five pure electronic transitions were assigned at 11 665, 9772, 8950, 6643, and 4300 cm−1. The energy levels associated with these transitions were identified as the splittings of the 5f1 ground configuration under the influence of the spin–orbit coupling and a crystal field of C2v symmetry. The number of crystal field parameters was reduced by assuming the point-charge model where the positions of the ions were determined by X-ray crystallography. Then, the crystal field parameters and the spin–orbit coupling constant were calculated to be [Formula: see text],[Formula: see text], [Formula: see text], and ξ = 1760 cm−1. The vibronic analysis showed that the 90, 200, and 320 cm−1 modes were similar to the T2u(v6), T1u(v4), and T1u(v3) of an UCl6− octahedron, respectively.

R-matrix calculations of photoionization cross section of Ne-like tungsten

2015 ◽  
Vol 93 (11) ◽  
pp. 1221-1226 ◽  
Author(s):  
Indu Khatri ◽  
Arun Goyal ◽  
Sunny Aggarwal ◽  
A.K. Singh ◽  
Man Mohan
Keyword(s):  
Cross Section ◽  
Energy Levels ◽  
Resonance Energy ◽  
Photoionization Cross Section ◽  
Distorted Wave ◽  
Rydberg Series ◽  
Close Coupling ◽  
R Matrix ◽  
Coupling Approximation ◽  
Wave Methods

The photoionization cross section calculation for the ground state 1s22s22p6 1S (J = 0) of Ne-like W64+ has been performed in the close-coupling approximation using the Dirac–Coulomb R-matrix method. The resonance structures are analysed and described by finding the resonance energy positions of prominent Rydberg series 2s2p6(2S)np 1P0 for W LXV ion. To calculate fine structure energy levels, multi-configuration Dirac–Fock and relativistic distorted-wave methods have been employed. Wherever possible we have compared our work with the available data. The present results will be useful for diagnostics and modeling of plasma in ITER and other fusion devices.

scholarly journals Outstanding thermoelectric properties of solvothermal-synthesized Sn1−3xInxAg2xTe micro-crystals through defect engineering and band tuning

2020 ◽  
Vol 8 (7) ◽  
pp. 3978-3987 ◽  
Author(s):  
Raza Moshwan ◽  
Wei-Di Liu ◽  
Xiao-Lei Shi ◽  
Qiang Sun ◽  
Han Gao ◽  
...  
Keyword(s):  
Synergistic Effect ◽  
Transport Properties ◽  
Valence Band ◽  
Thermoelectric Properties ◽  
Electrical Transport ◽  
Energy Levels ◽  
Resonance Energy ◽  
Defect Engineering ◽  
Electrical Transport Properties ◽  
Co Doping

In eco-friendly SnTe thermoelectrics, In and Ag co-doping induces the synergistic effect of resonance energy levels and valence band convergence to enhance its electrical transport properties, while defects ameliorates its thermal transport.

scholarly journals A resurgence analysis for cubic and quartic anharmonic potentials

2017 ◽  
Vol 32 (05) ◽  
pp. 1750033 ◽  
Author(s):  
Ilmar Gahramanov ◽  
Kemal Tezgin
Keyword(s):  
Quantum Mechanics ◽  
Energy Levels ◽  
Resonance Energy ◽  
One Dimensional

In this work, we explicitly show resurgence relations between perturbative and one instanton sectors of the resonance energy levels for cubic and quartic anharmonic potentials in one-dimensional quantum mechanics. Both systems satisfy the Dunne–Ünsal relation and hence we are able to derive one-instanton nonperturbative contributions with the fluctuation terms to the energy merely from the perturbative data. We confirm our results with previous results obtained in the literature.

ELECTRON–PHONON INTERACTION AND ELECTRONIC STRUCTURE OF SMALL METAL CLUSTERS

1996 ◽  
Vol 03 (01) ◽  
pp. 489-492 ◽  
Author(s):  
JIJUN ZHAO ◽  
XIAOSHUANG CHEN ◽  
FENGQI LIU ◽  
GUANGHOU WANG
Keyword(s):  
Electronic Structures ◽  
Metal Clusters ◽  
Energy Levels ◽  
Iteration Process ◽  
Coupling Constant ◽  
Phonon Interaction ◽  
Electron Phonon Interaction ◽  
Size Dependent ◽  
Electron Phonon Coupling ◽  
Valence Electrons

The Su–Schrieffer–Heeger (SSH) Hamiltonian has been extended to study the electron–phonon interaction and the electronic structures of the alkali-like metal clusters. The eigen-energy levels of s valence electrons are obtained from a Hückel-like Hamiltonian including the correction of the electron–phonon interaction in the hopping integral, which is proportional to the variable of bond length. The self-consistent equations for electrons and phonons are solved adiabatically through an iteration process. The energy-level structures of an octahedral Cu6 cluster are calculated with variable electron–phonon coupling constant λ to investigate the influence of electron–phonon interaction on the lattice distortion and electronic structures of metal clusters. The size-dependent ionization potential for small Cun clusters are calculated and compared with the experimental results.

scholarly journals INTERACTION OF TACHYONS WITH MATTER

1999 ◽  
Vol 14 (32) ◽  
pp. 5137-5157 ◽  
Author(s):  
ROMAN TOMASCHITZ
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Energy Levels ◽  
Interaction Mechanism ◽  
Coupling Constant ◽  
Large Impact Parameter ◽  
Hydrogenic Ions ◽  
The Impact ◽  
Static Point ◽  
Classical Cross

A new interaction mechanism of superluminal particles with matter is suggested. Tachyons are described by a real Proca field with negative mass square, coupled to a current of subluminal matter. The potential of a static point source in this field theory is a damped periodic function with 1/r-decay. We treat this potential as a perturbation of the Coulomb potential, and study its effects on cross-sections and energy levels. In the limit of large impact parameter, the periodicity of the potential has a pronounced effect on the classical cross-section, which gets singular at the accumulating extrema of the scattering angle. In this limit we define the cross-section wave mechanically, by semiclassical rainbow scattering. The impact of the tachyon potential on the energy levels of hydrogen and hydrogenic ions is calculated by means of Bohr–Sommerfeld quantization. Estimates for the tachyon mass (3 keV) and the coupling constant of the tachyon potential are derived on the basis of high-precision Lamb shift measurements.

Photoionization of Al X from ground state using the relativistic R-matrix close-coupling method

2014 ◽  
Vol 92 (3) ◽  
pp. 241-245 ◽  
Author(s):  
Liang Liang ◽  
Xu-yang Liu ◽  
Chao Zhou
Keyword(s):  
Cross Sections ◽  
Ground State ◽  
Energy Levels ◽  
Resonance Energy ◽  
Photoionization Cross Section ◽  
Rydberg Series ◽  
Close Coupling ◽  
R Matrix ◽  
Target States ◽  
Distorted Wave Method

The relativistic R-matrix method is used to calculate the total photoionization cross sections from the ground state 1s22s2 1S0 of Al X for photon energies ranges from the first ionization threshold to just above the eighth threshold of the residual ion Al XI. In this work, the relativistic distorted-wave method is employed to calculate the fine-structure energy levels and radial functions. The lowest eight level target states of Al XI are used in the photoionization calculations of Al X and should provide a reasonably complete database for practical application for photoionization cross section for Al X. The resonance energy levels and widths of 18 Rydberg series have been investigated.

Behaviors of the multiple interface states in photonic crystal heterostructure with frequency-dependent dielectric functions

2020 ◽  
pp. 2150053
Author(s):  
Xun Cui ◽  
Li-Ming Zhao ◽  
Yun-Song Zhou ◽  
Hai-Tao Yan
Keyword(s):  
Photonic Crystal ◽  
Dirac Point ◽  
Incident Angle ◽  
Energy Levels ◽  
Interface State ◽  
Interface States ◽  
Defect Band ◽  
Multiple Interface ◽  
Photonic Crystal Heterostructure ◽  
Sinusoidal Function

In this paper, Dirac point method is used to study the interface state of one-dimensional photonic crystal heterojunction [Formula: see text] containing dispersive materials GaAs. We found that the energy levels of the interface states satisfy a simple sinusoidal function. We investigate the variation of the energy levels of the interface states with the incident angle, it is found that these interface states move toward high-frequency with the increase of the incident angle. At the same time, it is found that there is an extra localized band and it is further proved that the extra band corresponds to the defect band, and the energy levels of the defect band possess the same behavior with those of interface states.

Octupole resonance states in the nucleus oxygen 16

1982 ◽  
Vol 60 (11) ◽  
pp. 1607-1615
Author(s):  
G. F. Nash
Keyword(s):  
Excited States ◽  
Unitary Group ◽  
Energy Levels ◽  
Resonance Energy ◽  
Appreciable Amount ◽  
Dimensional Manifold ◽  
Matrix Elements ◽  
Permutation Symmetry ◽  
Spherical Core ◽  
To Come

Three quanta excitations from a spherical core of oxygen 16 were studied. In particular the octupole vibrations, being a 14 dimensional manifold of vectors, transforming as the representation of the special unitary group SU3 with parameters (λμ) = (30) and permutation symmetry of the configuration's radial coordinates [f1f2 …] = [4444], were treated in detail.3− excited states of the nucleus oxygen 16 may be formed from a single excitation of a nucleon from the p shell to the sd shell, or from the triple excitations. The three quanta excitations may be states in which one, two, or three nucleons are excited from its spherical core. The resonance energy levels are calculated using the Sussex matrix elements, and the octupole strength to each of the seven physical (30) states are tabulated, together with their excitation energy for each of eight internucleon interactions. Most of the E3 strength was found to be lodged in the lowest two states at about 17 to 25 MeV, although an appreciable amount is shown to come from the highest state at about 50 MeV.

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