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Luttinger liquids with curvature: Density correlations and Coulomb drag effect

机译:具有曲率的Luttinger液体:密度相关性和库仑阻力效应

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摘要

We consider the effect of the curvature in fermionic dispersion on the observable properties of Luttinger liquid (LL). We use the bosonization technique where the curvature is irrelevant perturbation, describing the decay of LL bosons (plasmon modes). When possible, we establish the correspondence between the bosonization and the fermionic approach. We analyze modifications in density correlation functions due to curvature at finite temperatures, T. The most important application of our approach is the analysis of the Coulomb drag by small momentum transfer between two LLs, which is only possible due to curvature. Analyzing the ac transconductivity in the one-dimensional drag setup, we confirm the results by Pustilnik et al. for T dependence of drag resistivity, R_(12)~T~2 at high and R_(12)~T~5 at low temperatures. The bosonization allows for treating both intra- and interwire electron-electron interactions in all orders, and we calculate exact prefactors in the low-T drag regime. The crossover temperature between the two regimes is T_1 ~ E_F△, with △ relative difference in plasmon velocities. We show that △ ≠ 0 even for identical wires, due to lifting of degeneracy by interwire interaction, U_(12), leading to crossover from R_(12)~ U_(12)~2T~2 to R_(12)~T~5/ U_(12) at T~ U_(12).
机译:我们考虑了铁离子分散中曲率对Luttinger液体(LL)的可观察特性的影响。我们使用玻化技术,其中曲率是无关紧要的扰动,描述了LL玻色子(等离子体激元模)的衰减。在可能的情况下,我们建立起玻化和费米离子方法之间的对应关系。我们分析了在有限温度T下由于曲率引起的密度相关函数的变化。我们的方法最重要的应用是通过两个LL之间的小动量传递来分析库仑阻力,这仅是由于曲率才有可能。在一维阻力设置中分析交流跨导性,我们证实了Pustilnik等人的结果。对于电阻抗性的T依赖性,高温时为R_(12)〜T〜2,低温时为R_(12)〜T〜5。玻化可以处理所有顺序的线内和线间电子相互作用,并且我们可以计算出低T阻力条件下的确切前置因子。两种状态之间的交叉温度为T_1〜E_F△,等离激元速度的相对差为△。我们证明即使对于相同的导线,△≠0也是由于导线间相互作用U_(12)引起的简并性提升,导致从R_(12)〜U_(12)〜2T〜2到R_(12)〜T〜的交叉5 / U_(12)在T〜U_(12)。

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