C
                    4ν
                    Symmetry Crystal Field and Ground State Wavefunction of the VO
                    2+
                    Ion

The ground-state phase diagrams are obtained for the spin-2 Ising model Hamiltonian with bilinear and biquadratic exchange interactions and a single-ion crystal field. The interactions are assumed to be only between nearest-neighbors. Obtained phase diagrams are presented in the (Δ,J), (K,J), (Δ/J,K/J), (Δ/|J|,K/|J|), (Δ/|K|,J/|K|), (H/J,Δ/J), (H/|J|,Δ/|J|), (H/J,K/J), and (H/|J|,K/|J|) planes where J, K, Δ, and H are the bilinear, biquadratic exchange interactions, the single-ion crystal field, and the external magnetic field, respectively. The influence of the external magnetic field on the spin configurations is investigated.

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The coherent state and radial excitation admixtures in the ground-state wavefunction

Journal of Physics G Nuclear Physics ◽

10.1088/0305-4616/2/9/013 ◽

1976 ◽

Vol 2 (9) ◽

pp. 677-679

Author(s):

G Ghosh ◽

S B Pundari ◽

B Dutta-Roy

Keyword(s):

Coherent State ◽

Ground State ◽

Radial Excitation ◽

Ground State Wavefunction

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Predicting excited states from ground state wavefunction by supervised quantum machine learning

Machine Learning: Science and Technology ◽

10.1088/2632-2153/aba183 ◽

2020 ◽

Vol 1 (4) ◽

pp. 045027

Author(s):

Hiroki Kawai ◽

Yuya O. Nakagawa

Keyword(s):

Machine Learning ◽

Excited States ◽

Ground State ◽

Ground State Wavefunction ◽

Quantum Machine Learning

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Терагерцовая спектроскопия магнитоэлектрика HoAl-=SUB=-3-=/SUB=-(BO-=SUB=-3-=/SUB=-)-=SUB=-4-=/SUB=-

Оптика и спектроскопия ◽

10.21883/os.2022.01.51890.33-21 ◽

2022 ◽

Vol 130 (1) ◽

pp. 59

Author(s):

А.М. Кузьменко ◽

В.Ю. Иванов ◽

А.Ю. Тихановский ◽

А.Г. Пименов ◽

А.М. Шуваев ◽

...

Keyword(s):

Crystal Field ◽

Excited States ◽

Ground State ◽

Theoretical Study ◽

Low Frequency ◽

Local Symmetry ◽

Matrix Elements ◽

The Matrix ◽

Excitation Conditions ◽

Ground Multiplet

Experimental and theoretical study of submillimeter (terahertz) spectroscopic and magnetic properties of the rare-earth aluminum borate HoAl3(BO3)4 were performed at temperatures 3–300 K. In the transmittance spectra a number of resonance lines were detected at frequencies 2–35 cm–1 for different radiation polarizations. These modes were identified as transitions between the lower levels of the ground multiplet of the Ho3+ ion split by the crystal field, including both transitions from the ground state to the excited ones and transitions between the excited states. The established excitation conditions of the observed modes and the simulation of the spectra made it possible to separate the magnetic and electric dipole transitions and to determine the energies of the corresponding states, their symmetry, and the matrix elements of the transitions. Low-frequency lines that do not fit into the established picture of the electron states of Ho3+ were also found; these lines, apparently, correspond to the ions with the distorted by defects local symmetry of the crystal field.

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Magnetische Eigenschaften der Normaltemperaturform von CsTmO2 / Magnetic Properties of the Normal-Temperature Form of CsTmO2

Zeitschrift für Naturforschung A ◽

10.1515/zna-1979-0813 ◽

1979 ◽

Vol 34 (8) ◽

pp. 997-1002 ◽

Cited By ~ 5

Author(s):

Werner Urland

Keyword(s):

Magnetic Properties ◽

Magnetic Anisotropy ◽

Crystal Field ◽

Ground State ◽

Low Temperatures ◽

Magnetic Behaviour ◽

Magnetic Data ◽

Angular Overlap Model ◽

Temperature Form ◽

Overlap Model

AbstractThe magnetic behaviour of the normal-temperature-form of CsTmO2 (NT-CsTmO2) has been studied in the temperature range between 2.9 and 251.3 K. In order to interpret the magnetic data a method applying the angular overlap model has been established to assess the crystal-field (CF) parameters of NT-CsTmO2 (CF symmetry: D3d) from the known CF parameters for Tm3+ substituted in YVO4 (CF symmetry: D2d)-With these CF parameters the observed magnetic properties of NT-CsTmO2 can be satisfactorily simulated. The calculation of the paramagnetic principal susceptibilities yields a high magnetic anisotropy, especially at low temperatures. The energy values of the CF levels of the 3H6 ground state are calculated.

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Über des magnetische Verhalten von Cs2MYbF6 (M = Na, K, Rb) und Cs2NaYbBr6 / On the Magnetic Behaviour of Cs2MYbF6 (M = Na, K, Rb) and Cs2NaYbBr6

Zeitschrift für Naturforschung A ◽

10.1515/zna-1979-1218 ◽

1979 ◽

Vol 34 (12) ◽

pp. 1507-1511

Author(s):

Werner Urland

Keyword(s):

Crystal Field ◽

Ground State ◽

Magnetic Behaviour ◽

Magnetic Data ◽

Temperature Range ◽

Angular Overlap Model ◽

The Individual ◽

Overlap Model ◽

Overlap Parameter

Abstract The magnetic behaviour of Cs2MYbF6 (M = Na, K, Rb) and Cs2NaYbBr6 has been studied in the temperature range between 3.5 and 251.3 K. The magnetic data are interpreted by means of a previously developed model in which the influence of the crystal field is theoretically described by the angular overlap model. The obtained values of the angular overlap parameter eσ(R) for the individual compounds are discussed and compared with each other. The energy values of the crystal-field levels of the 2F7/2 ground state are calculated.

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