Magnetic high-field limit

Models for the outer-sphere PRE, allowing for faster rotational motion, have been developed, in analogy with the inner sphere approaches discussed in the Section V.C. The outer-sphere counterpart of the work by Kruk et al. 123) was discussed in the same paper. In the limit of very low magnetic field, the expressions for the outer-sphere PRE for slowly rotating systems 96,144) were found to remain valid for an arbitrary rotational correlation time Tr. New, closed-form expressions were developed for outer-sphere relaxation in the high-field limit. The Redfield description of the electron spin relaxation in terms of spectral densities incorporated into that approach, was valid as long as the conditions A t j 1 and 1 were fulfilled. The validity... 

Interpolation Formula for H Atom in Magnetic Field between the Coulomb Result and the Landau High Field Limit... 

Figure4.10a shows the Is —> 2pm = — 1 transition ((000) —> (OlO) in the high-field limit of donors in high-purity InSb at LHeT obtained by the fieldsweeping method. This can be compared in Fig. 4.10b with the same spectrum obtained by the classical method for different values of the magnetic field, where spectral noise is clearly visible [23].

Fig. 6.43. Magnetic-field tuned PTI spectrum at LHeT of Si-doped GaAs with Nd — Na 5 X 1014 at cm-3 at (a) a laser wavelength of 118.8 pm (84.18cm 1 or 10.44 meV) and (b) a laser wavelength of 46.2 pm (216.5 cm-1 or 26.84meV). The final states of most of the donor transitions observed are metastable states (the high-field-limit labelling is used with the parentheses omitted) (after [128]). Copyright 1990, American Institute of Physics...

Spins are magnetic moments that are associated with angular momentum they interact with external magnetic fields (Zeeman interaction) and with each other (couplings). In most cases, the Zeeman interaction of the electron spin is the largest interaction in the spin system (high-field limit). The electron Zeeman (EZ) interaction can generally be described by the Hamiltonian below. 

However, strong fields co x > 1) can modify the electron wave function, so that x may depend rather sensitively on the magnetic field, and in the high-field limit the use of the Boltzmann equation is questionable, as already pointed out. In this limit quantum-mechanical effects become of importance and cannot be ignored. 

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