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The equilibrium distribution of many hydrogen nuclei between the two spin states (parallel and antiparallel) can be perturbed (i.e., changed) by the absorption of electromagnetic radiation of appropriate frequency.
Moreover, the focusing peak has a tendency to become more symmetric at higher temperature indicating a possible equilibrium between the two spin branches due to thermal excitation.
In the present work, we report the temperature dependence of spin-split first focusing peak and analyse the results based on the spin-gap present between the two spin species.
We note that the splitting smears out when the thermal energy k B T exceeds 2 ΔE (ΔE is the energy difference between the two spin branches) agreeing with the theoretical prediction [17].
This indicates that the pair distribution functions, P R), between the two spin labels of the two double mutants (R being the distance between the two spins) are quite broad, because the sum over varying damped cosines converges to exponential decay functions.
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This may be due to a possible electron transition between the two spin-subbands at relatively high temperature.
where α is a prefactor accounting for the amplitude, k B is the Boltzmann constant, Δ E is the energy difference between the two spin-branches and c accounts for the small residual value that arises from the uncertainty in the experiment.
This behavior is an apparent consequence of the strong anticorrelations between the two spins.
This results from the similar s p 2- σ hybridized bonding in the edge; see Figs. 3 and 4. For instance, the NM band structures have obvious edge states, there is degeneracy breaking between the two spins for the FM configurations and the indirect band gap opening for the AFM configurations.
The model is characterized by interactions which decay quadratically with the distance d i j between the two spins, that is, J α ( i, j ) ≡ J d i j − 2. Periodic boundary conditions are imposed by arranging the spins on the unit circle, that is, with positions z k = exp [ 2 π i N k ].
In a pair of equivalent spins 1/2, the singlet state S0=/√2 is largely disconnected from the triplet states T+1=|αα〉, T0=/√2 and T−1=|ββ〉 because relaxation mechanisms that are symmetric with respect to spin exchange (such as the dipole dipole interaction between the two spins) cannot induce singlet triplet transitions.
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