Interaction-induced corrections to conductance and thermopower in quantum wires
Interaction-induced corrections to conductance and thermopower in quantum wires
复制标题
量子线中电导和热电势的相互作用引起的校正
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
T. Micklitz
中科院分区：
文献类型：
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作者：
A. Levchenko;Z. Ristivojevic;T. Micklitz
我们研究一维单通道量子线中弱相互作用的无自旋电子的传输特性。由于守恒定律对二体过程的严格约束，相互作用的影响表现为三粒子碰撞。我们关注短导线，其中平衡对分布函数的影响可以忽略不计，碰撞积分可以用微扰理论来处理。我们发现相互作用引起的电导和热电势校正依赖于改变左右移动电子数量的散射过程。后者需要在能带底部发生转变，该转变在低温下呈指数抑制。我们的理论基于超出卢廷格液体极限的散射方法。我们强调了交换项在三粒子散射振幅中的关键作用，这在以前的研究中没有讨论过。
We study transport properties of weakly interacting spinless electrons in one-dimensional single-channel quantum wires. The effects of interaction manifest as three-particle collisions due to the severe constraints imposed by the conservation laws on the two-body processes. We focus on short wires where the effects of equilibration on the distribution function can be neglected and the collision integral can be treated in perturbation theory. We find that interaction-induced corrections to conductance and thermopower rely on the scattering processes that change the number of right- and left-moving electrons. The latter requires transition at the bottom of the band which is exponentially suppressed at low temperatures. Our theory is based on the scattering approach that is beyond the Luttinger-liquid limit. We emphasize the crucial role of the exchange terms in the three-particle scattering amplitude that was not discussed in previous studies.