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note
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Note that degeneracy in the level structure of either dot complicates this analysis. Indeed, the magnetic field data in Fig. 4 seem to indicate one instance of degeneracy at B = 0. However, asymmetry in the bare frequencies along perpendicular directions need be only of order 2% in order that the splitting of levels in a shell are comparable to the tunnel splitting. Thus, nondegenerate levels are a reasonable assumption.
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22
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85088489625
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note
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inter is the exchange-modified interaction between the dots.
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23
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34547346865
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We note that if the distribution of t were given simply by the Porter-Thomas distribution [cf. T. A. Brody et al., Rev. Mod. Phys. 53, 385 (1981)], this ratio would instead be √2. However, we are presumably far from the ergodic regime.
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85088489678
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note
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i is the average anticrossing size for orbital i (averaged over J).
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26
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