一致玻色化-去玻色化II:两导Kondo问题及其非平衡Toulouse点的命运
Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point
摘要:
随着一个方案的发展,玻色化和去玻色化一致[N。Shah和C.J.Bolech,Phys.Rev B 93,085440(2016); arXiv:1508.03078],我们详细介绍了双引线近藤结模型的图卢兹点解析解。可解点的存在性和位置没有改变,但计算方法和观测量的最终表达式与已有结果相比有明显的变化。这个可解点是相关系统中非平衡输运的极少数精确结果之一。它产生相对简单的解析表达式的电流在整个范围内的温度,磁场和电压。它还显示了精确的,在图卢兹微调的限制,如何运输演变取决于铅间和铅内近藤交换耦合的相对强度从弱到强。因此,对它的进一步了解是未来研究的重要基石。
英文摘要:
Following the development of a scheme to bosonize and debosonize consistently [N. Shah and C.J. Bolech, Phys. Rev B 93, 085440 (2016); arXiv:1508.03078], we present in detail the Toulouse-point analytic solution of the two-lead Kondo junction model. The existence and location of the solvable point is not modified, but the calculational methodology and the final expressions for observable quantities change markedly as compared to the existent results. This solvable point is one of the remarkably few exact results for non-equilibrium transport in correlated systems. It yields relatively simple analytical expressions for the current in the full range of temperature, magnetic field and voltage. It also shows precisely, within the limitations of the Toulouse fine-tuning, how the transport evolves depending on the relative strengths of inter-lead and intra-lead Kondo exchange couplings ranging from weak to strong. Thus its improved understanding is an important stepping stone for future research.
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