Effect of Linear Jahn-Teller Coupling on Paramagnetic Resonance in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>State

Ham, Frank S.

doi:10.1103/physrev.166.307

Cited by 396 publications

(98 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It should be pointed out that the reduction factors in the spin-orbit parameter and in the orbital reduction factor may be different [15]. In order to decrease the number of adjustable parameters, we assume both the spin-orbit parameters and the orbital reduction factor having the same reduction factor p. This point is in accordance with the first-order perturbation treatment of Ham [16].…”

Section: Calculationsupporting

confidence: 55%

A Study of Spin-Hamiltonian Parameters and Defect Structure for Co²⁺ Ion in the Tetragonal Zn²⁺ Site of Ba₂ZnF₆ Crystal

Lia

Zheng

Yang

2010

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

The spin-Hamiltonian (SH) parameters (g factors g , g ⊥ and hyperfine structure constants A , A ⊥ ) for the Co 2+ ion in the tetragonal Zn 2+ site of a Ba 2 ZnF 6 crystal are calculated from the secondorder perturbation formulas based on the cluster approach for the SH parameters of 3d 7 ions in tetragonal symmetry with the effective spin S = 1/2. In the calculations, a reduction factor due to the dynamical Jahn-Teller effect is used. The calculated results are in reasonable agreement with the experimental values, suggesting that the dynamical Jahn-Teller effect should be considered here. The defect structure of the Co 2+ center in Ba 2 ZnF 6 :Co 2+ is also obtained from the calculations. The results are discussed.

show abstract

Section: Calculationsupporting

confidence: 55%

A Study of Spin-Hamiltonian Parameters and Defect Structure for Co²⁺ Ion in the Tetragonal Zn²⁺ Site of Ba₂ZnF₆ Crystal

Lia

Zheng

Yang

2010

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

show abstract

“…Here, we show that Ham reduction factors [35,63,64], which have long been used to explain the vibronic coupling-induced weakening of the response of Jahn-Teller systems to external perturbations such as magnetic fields, spin-orbit coupling and strain, can be expressed as integrals of the exact geometric phase weighted by the nuclear probability density. This provides a way to infer the difference between γ and γ BO .…”

Section: Ham Reduction Factorsmentioning

confidence: 99%

“…Jahn-Teller models, which describe the coupling between electrons and vibrations, were originally introduced to explain the instability of electronically-degenerate nonlinear polyatomic molecules to static symmetry-lowering distortions [31,32]. Analytical results for various JahnTeller models have been obtained using perturbative and asymptotic approximations [1,[33][34][35][36][37][38][39][40][41][42], a canonical transformation method in second quantization [43][44][45][46][47][48][49] and approximations based on coherent states [50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Asymptotic analysis of the Berry curvature in theE⊗eJahn-Teller model

2017

View full text Add to dashboard Cite

The effective Hamiltonian for the linear E ⊗ e Jahn-Teller model describes the coupling between two electronic states and two vibrational modes in molecules or bulk crystal impurities. While in the Born-Oppenheimer approximation the Berry curvature has a delta function singularity at the conical intersection of the potential energy surfaces, the exact Berry curvature is a smooth peaked function. Numerical calculations revealed that the characteristic width of the peak is K 1/2 /gM 1/2 , where M is the mass associated with the relevant nuclear coordinates, K is the effective internuclear spring constant and g is the electronic-vibrational coupling. This result is confirmed here by an asymptotic analysis of the M → ∞ limit, an interesting outcome of which is the emergence of a separation of length scales. Being based on the exact electron-nuclear factorization, our analysis does not make any reference to adiabatic potential energy surfaces or nonadiabatic couplings. It is also shown that the Ham reduction factors for the model can be derived from the exact geometric phase.

show abstract

“…The CP violation is rarely mentioned outside High Energy Physics because it is known that the coupling constants involved in defining this process for the electromagnetic interaction have to be strong (although in principle the mechanism is only a second order electromagnetic effect) [29]. However, our argument is that the itinerant electron that allows the formation of the 3 A 2 ground state is not a fundamental particle, but rather the concatenation of a series of dissipative processes across the lattice, which makes it strongly coupled [30]. This modifies the conventional argument used to describe the zero-mode splitting of the NV − center [26] by identifying that if the single electron spins in Diamond are effectively made more oblate as function of time, via the dissipative processes of the bath, then higher order spin-spin moments (quadropole, octopole etc.)…”

Section: Introductionmentioning

confidence: 73%

The Decoherence of the Electron Spin and Meta-Stability of 13C Nuclear Spins in Diamond

Crompton

2011

Entropy

View full text Add to dashboard Cite

Following the recent successful experimental manipulation of entangled 13 C atoms on the surface of Diamond, we calculate the decoherence of the electron spin in Nitrogen Vacancy NV centers of Diamond via a nonperturbative treatment of the time-dependent Greens function of a Central-Spin model in order to identify the Replica Symmetry Breaking mechanism associated with intersystem mixing between the m s = 0 sublevel of the 3 A 2 and 1 A 1 states of the NV − centers, which we identify as mediated via the meta-stability of 13 C nuclei bath processes in our calculations. Rather than the standard exciton-based calculation scheme used for quantum dots, we argue that a new scheme is needed to formally treat the Replica Symmetry Breaking of the 3 A 2 → 3 E excitations of the NV − centers, which we define by extending the existing Generalized Master Equation formalism via the use of fractional time derivatives. Our calculations allow us to accurately quantify the dangerously irrelevant scaling associated with the Replica Symmetry Breaking and provide an explanation for the experimentally observed room temperature stability of Diamond for Quantum Computing applications.

show abstract

Effect of Linear Jahn-Teller Coupling on Paramagnetic Resonance in aE2State

Cited by 396 publications

References 26 publications

A Study of Spin-Hamiltonian Parameters and Defect Structure for Co²⁺ Ion in the Tetragonal Zn²⁺ Site of Ba₂ZnF₆ Crystal

A Study of Spin-Hamiltonian Parameters and Defect Structure for Co²⁺ Ion in the Tetragonal Zn²⁺ Site of Ba₂ZnF₆ Crystal

Asymptotic analysis of the Berry curvature in theE⊗eJahn-Teller model

The Decoherence of the Electron Spin and Meta-Stability of 13C Nuclear Spins in Diamond

Contact Info

Product

Resources

About

Effect of Linear Jahn-Teller Coupling on Paramagnetic Resonance in aE2State

Cited by 396 publications

References 26 publications

A Study of Spin-Hamiltonian Parameters and Defect Structure for Co2+ Ion in the Tetragonal Zn2+ Site of Ba2ZnF6 Crystal

A Study of Spin-Hamiltonian Parameters and Defect Structure for Co2+ Ion in the Tetragonal Zn2+ Site of Ba2ZnF6 Crystal

Asymptotic analysis of the Berry curvature in theE⊗eJahn-Teller model

The Decoherence of the Electron Spin and Meta-Stability of 13C Nuclear Spins in Diamond

Contact Info

Product

Resources

About

A Study of Spin-Hamiltonian Parameters and Defect Structure for Co²⁺ Ion in the Tetragonal Zn²⁺ Site of Ba₂ZnF₆ Crystal

A Study of Spin-Hamiltonian Parameters and Defect Structure for Co²⁺ Ion in the Tetragonal Zn²⁺ Site of Ba₂ZnF₆ Crystal