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57549096376
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The tunnel coupling of |ψk〉 to the quantum dot is described by |〈d|HT|ψk〉 |2, 2V2/N sin2 ka(1, x, 2√αx cos φ cos ka, 1, x)2, 4x cos2 ka] ≡ |V0(ε k)|2, whereas the density of states in the leads is ν0(εk, N/(2πt sin ka, Since the tunneling effect between the leads and dot is characterized by ν0|V0|2, we choose the density of states ν(εk) in eq, 6) with fixed tunnel coupling V in such a way that νV2, ν0|V0|2 in the wide-band limit
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2 in the wide-band limit.
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22
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57549083081
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In the vicinity of the strong-coupling fixed point (ξ ≪ p, 2νJ ∼ [1, O(p2)]/ln(1, ξ) and 2ν K ∼, 3p/4, O(p3)]/ln(1, ξ, where ξ, D/TK, 1 and p, P(φ)T K/D0. Since |p| ≪ 1, the second term in eq, 17) can be neglected even in this region, although the scaling equations, 17) and 18, can be applied only to the region of ξ ≳ 1. The logarithmic corrections from the scattering by K are neglected in the conductance, eq, 22
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0. Since |p| ≪ 1, the second term in eq. (17) can be neglected even in this region, although the scaling equations, (17) and (18), can be applied only to the region of ξ ≳ 1. The logarithmic corrections from the scattering by K are neglected in the conductance, eq. (22).
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23
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57549096378
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An electron is scattered by the localized spin in the dot from site j to site i (i, j, 0, 1) by Jij, JViVj/V2, where V0, VL and V1, VR
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R.
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