Quantum wire hybridized with a single-level impurity.

Quantum wire hybridized with a single-level impurity.
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DOI:
10.1103/physrevlett.100.256805
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发表时间:
2007-11
影响因子:
8.6
通讯作者:
I. Lerner;V. Yudson;I. Yurkevich
I. Lerner;V. Yudson;I. Yurkevich
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
I. Lerner;V. Yudson;I. Yurkevich

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研究了一维量子线(Luttinger液体)中与单能级杂质侧杂化的相互作用电子的低温性质。这种杂化会引起导线中电子的反向散射,从而强烈影响其低能特性。利用对弱电子-电子相互作用有效的单圈重正化群方法,我们计算了通过导线的透射系数T(ψ)和低能下的局域态密度nu(ψ)。特别地,我们发现T(π)中的反共振具有广义Breit-Wigner形状,其有效宽度为γ(π),在费米能级处发散。
We have studied low-temperature properties of interacting electrons in a one-dimensional quantum wire (Luttinger liquid) side-hybridized with a single-level impurity. The hybridization induces a backscattering of electrons in the wire which strongly affects its low-energy properties. Using a one-loop renormalization group approach valid for a weak electron-electron interaction, we have calculated a transmission coefficient through the wire, T(epsilon), and a local density of states, nu(epsilon) at low energies epsilon. In particular, we have found that the antiresonance in T(epsilon) has a generalized Breit-Wigner shape with the effective width Gamma(epsilon) which diverges at the Fermi level.