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首页> 外文期刊>Physical review >Quantum critical Kondo destruction in the Bose-Fermi Kondo model with a local transverse field
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Quantum critical Kondo destruction in the Bose-Fermi Kondo model with a local transverse field

机译：具有局部横向场的Bose-Fermi Kondo模型中的量子临界Kondo破坏

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摘要

Recent studies of the global phase diagram of quantum-critical heavy-fermion metals prompt consideration of the interplay between the Kondo interactions and quantum fluctuations of the local moments alone. Toward this goal, we study a Bose-Fermi Kondo model (BFKM) with Ising anisotropy in the presence of a local transverse field that generates quantum fluctuations in the local-moment sector. We apply the numerical renormalization-group method to the case of a sub-Ohmic bosonic bath exponent and a constant conduction-electron density of states. Starting in the Kondo phase at zero transverse field, there is a smooth crossover with increasing transverse field from a fully screened to a fully polarized impurity spin. By contrast, if the system starts in its localized phase, then increasing the transverse field causes a continuous, Kondo-destruction transition into the partially polarized Kondo phase. The critical exponents at this quantum phase transition exhibit hyperscaling and take essentially the same values as those of the BFKM in zero transverse field. The many-body spectrum at criticality varies continuously with the bare transverse field, indicating a line of critical points. We discuss implications of these results for the global phase diagram of the Kondo lattice model.
机译：最近，对量子临界重金属的全球相图的研究促使人们考虑近藤相互作用与仅局部矩的量子涨落之间的相互作用。为了实现这一目标，我们在存在局部横向场的情况下研究具有Ising各向异性的Bose-Fermi Kondo模型（BFKM），该局部场在局部矩扇区产生量子涨落。我们将数值重归一化组方法应用于亚欧姆玻色浴指数和状态的恒定导电电子密度的情况。从近藤处的零横向场开始，随着从完全屏蔽到完全极化的杂质自旋，横向场的增加，平滑过渡。相反，如果系统从其局部相位开始，则增大横向场会导致连续的近藤破坏（Kondo-destruction）过渡到部分极化的近藤相位。在这个量子相变的临界指数表现出超标度，并且在零横向场中具有与BFKM基本上相同的值。处于临界状态的多体光谱随裸露的横向场连续变化，表明存在临界点线。我们讨论这些结果对近藤晶格模型的整体相图的影响。

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