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arXiv 0709.3617cond-mat.str-el
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玻色化方法求解混合价双通道Kondo问题

Bosonization approach to the mixed-valence two-channel Kondo problem

A. Iucci, C. J. Bolech

摘要:

我们详细介绍了玻色化-玻色化解的各向异性版本的双通道安德森模型在一个特定的流形上的参数的理论,在那里我们建立了一个等价的费米-马约拉纳双共振能级模型。严格证明的对应关系,明确地构造新的费米子场和克莱因因子的原始的,并显示原始和新的克莱因因子之间的交换性质是半离子型的。我们还证明了与可解流形相关联的不动点是重整化群稳定的和通用的,因此代表了原始模型的物理性质。简单的解决方案发现,允许计算的全套热力学量。特别是,我们计算的熵,占领和磁化的杂质作为温度的函数,并确定不同的物理能量标度。在没有外场的情况下,出现两个能量标度,并且当温度趋于零时,非平凡的剩余熵表明该模型接近非费米液体类型的不动点的普适线。一个外场,即使很小,也会引入第三个能量尺度,并导致杂质熵的淬灭为零,使系统达到相应的费米液体固定点。

英文摘要:

We present in detail the bosonization-refermionization solution of the anisotropic version of the two-channel Anderson model at a particular manifold in the space of parameters of the theory, where we establish an equivalence with a Fermi-Majorana bi-resonant level model. The correspondence is rigorously proved by explicitly constructing the new fermionic fields and Klein factors in terms of the original ones and showing that the commutation properties between original and new Klein factors are of semionic type. We also demonstrate that the fixed points associated to the solvable manifold are renormalization-group stable and generic, and therefore representative of the physics of the original model. The simplicity of the solution found, allows for the computation of the full set of thermodynamic quantities. In particular, we compute the entropy, occupation and magnetization of the impurity as functions of temperature, and identify the different physical energy scales. In absence of external fields, two energy scales appear and, as the temperature goes to zero, a non-trivial residual entropy indicates that the model approaches a universal line of fixed points of non-Fermi liquid type. An external field, even if small, introduces a third energy scale and causes the quenching of the impurity entropy to zero, taking the system to a corresponding Fermi-liquid fixed point.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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