Two-loop disorder effects on the nematic quantum criticality in d-wave superconductors

Two-loop disorder effects on the nematic quantum criticality in d-wave superconductors
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双环无序效应对 d 波超导体向列量子临界性的影响

DOI:
10.1016/j.physleta.2015.05.028
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发表时间:
2015-05
期刊:
影响因子:
2.6
通讯作者:
Jing Wang
Jing Wang
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Jing Wang

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在某些波型铜氧化物超导体的量子临界点处,无带隙节费米子表现出非费米液体行为。如果费米子也耦合到无序势,产生重整化群理论意义上的相关微扰,这种非费米液态可能会变成无序主导的扩散金属。因此,有必要检查特定的疾病是否相关。通过重整化群分析,研究了临界涨落与随机化学势之间的相互作用。表征随机化学势强度的参数在单圈水平上是边缘的,但在包括双圈校正后变得边缘相关。因此,即使是弱的随机化学势也会导致节点费米子的扩散运动和物理意义的显著临界行为,因为强度最终会在低能量下流向大值。
The gapless nodal fermions exhibit non-Fermi liquid behaviors at the nematic quantum critical point that is supposed to exist in some-wave cuprate superconductors. This non-Fermi liquid state may be turned into a disorder-dominated diffusive metal if the fermions also couple to a disordered potential that generates a relevant perturbation in the sense of renormalization group theory. It is therefore necessary to examine whether a specific disorder is relevant or not. We study the interplay between critical nematic fluctuation and random chemical potential by performing renormalization group analysis. The parameter that characterizes the strength of random chemical potential is marginal at the one-loop level, but becomes marginally relevant after including the two-loop corrections. Thus even weak random chemical potential leads to diffusive motion of nodal fermions and the significantly critical behaviors of physical implications, since the strength flows eventually to large values at low energies.
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