Transport anomalies in multiband superconductors near the quantum critical point

Transport anomalies in multiband superconductors near the quantum critical point
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DOI:
10.1103/physrevb.108.184513
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发表时间:
2023-08
期刊:
影响因子:
3.7
通讯作者:
M. Dzero;M. Khodas;A. Levchenko
M. Dzero;M. Khodas;A. Levchenko
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Dzero;M. Khodas;A. Levchenko

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研究了多带超导体在对破缺量子临界点附近的量子涨落对输运性质的影响。为此,我们考虑了两个嵌套的二维费米面系统的量子相变的最小模型。在掺杂的假设下,系统增加了掺杂杂质,但不改变载流子的密度,我们包括无序势,使带内和带间碰撞。带间散射导致完全抑制的非常规的$s^{\pm}$超导秩序类似于各向同性单带超导体中的顺磁杂质的效果。我们使用量子场论的图解技术来计算在正常状态下由于整个低温量子制度中的超导涨落对电导率的修正。我们表明,电导率校正的符号取决于如何在相图中的量子临界点接近。我们将我们的研究结果与现有的基于重整化群,时间相关的金-朗道现象学和有效的玻色子作用场理论的方法进行了对比。
We study the effects of quantum fluctuations on the transport properties of multiband superconductors near a pair-breaking quantum critical point. For this purpose, we consider a minimal model of the quantum phase transition in a system with two nested two-dimensional Fermi surfaces. Under the assumption that doping the system adds nonmagnetic impurities but does not change the densities of carriers, we include disorder potentials that render both intra- and interband collisions. Interband scattering leads to full suppression of the unconventional $s^{\pm}$ superconducting order similar to the effect of paramagnetic impurities in isotropic single-band superconductors. We use the diagrammatic technique of quantum field theory to compute the corrections to electrical conductivity in a normal state due to superconducting fluctuations in the entire low-temperature quantum regime. We show that the sign of the conductivity correction depends on how the quantum critical point is approached in the phase diagram. We contrast our findings to existing approaches to this problem based on the renormalization group, time-dependent Ginzburg-Landau phenomenology, and effective bosonic action field theories.