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arXiv 1202.2099cond-mat.str-elcond-mat.supr-con
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低维超导体在自旋密度波不稳定性附近的扩展量子临界性

Extended quantum criticality of low-dimensional superconductors near a spin-density-wave instability

A. Sedeki, D. Bergeron, and C. Bourbonnais

摘要:

利用重整化群方法研究了准一维超导体在自旋密度波不稳定性附近的正常态。在准一维电子气单圈散射振幅的基础上,对双圈单粒子松原自能的重整化群方程进行积分,导致动量分辨准粒子质量在费米面的大部分区域出现非费米液体温度的下降.下降的幅度与整个超导不稳定线相关,定义了一个扩展的量子临界区的相图作为费米面的嵌套偏差的函数。还提取了正常相中任意低温下链间跳跃振幅的向下重整化。通过对松原自能的解析延拓,得到了关于能量和温度的单粒子谱函数,并结合相图的不稳定性线序列分析了它们的反常特征。准粒子的散射率被发现开发一个不寻常的温度依赖性,这是最好的描述由一个线性和二次$T$依赖的叠加。的nonFermi液体线性$T$组件相关的温度标度$T_c$的超导不稳定性在一个扩展的范围内的嵌套偏差,而其沿费米面的各向异性预测平行的费米面上的d波配对间隙的动量分布。我们研究的影响,我们的研究结果为低维非常规超导体,特别是Bechgaard盐系列的准一维有机导体,但也pnictide和铜酸盐超导体中观察到几个共同的特点。

英文摘要:

We use the renormalization group method to study the normal state of quasi-one-dimensional superconductors nearby a spin-density-wave instability. On the basis of one-loop scattering amplitudes for the quasi-one-dimensional electron gas, the integration of the renormalization group equations for the two-loop single particle Matsubara self-energy leads to a nonFermi-liquid temperature downturn of the momentum-resolved quasi-particle weight over most part of the Fermi surface. The amplitude of the downturn correlates with the entire instability line for superconductivity, defining an extended quantum critical region of the phase diagram as a function of nesting deviations of the Fermi surface. One also extracts the downward renormalization of interchain hopping amplitudes at arbitrary low temperature in the normal phase. By means of analytical continuation of the Matsubara self-energy, one-particle spectral functions are obtained with respect to both energy and temperature and their anomalous features analyzed in connection with the sequence of instability lines of the phase diagram. The quasi-particle scattering rate is found to develop an unusual temperature dependence, which is best described by the superimposition of a linear and quadratic $T$ dependences. The nonFermi-liquid linear-$T$ component correlates with the temperature scale $T_c$ of the superconducting instability over an extended range of nesting deviations, whereas its anisotropy along the Fermi surface is predicted to parallel the momentum profile of a d-wave pairing gap on the Fermi surface. We examine the implications of our results for low dimensional unconventional superconductors, in particular the Bechgaard salts series of quasi-1D organic conductors, but also the pnictide and cuprate superconductors where several common features are observed.

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