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Velocity renormalization of nodal quasiparticles in d-wave superconductors

机译：d波超导体中节点准粒子的速度重新归一化

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Gapless nodal quasiparticles emerge at a low-energy regime of high-T_ cuprate superconductors due to the d_x~2_-y~2 gap symmetry. We study the unusual renormalizations of the Fermi velocity V_F and gap velocity v_△ of these quasiparticles close to various quantum critical points in a superconducting dome. Special attention is paid to the behavior of the velocity ratio, v_△/v_F, since it determines a number of observable quantities. We perform a renormalization-group analysis and show that the velocity ratio may vanish, approach unity, or diverge at different quantum critical points. The corresponding superfluid densities and critical temperatures are suppressed, slightly increased, or significantly enhanced. The effects of three types of static disorders, namely, random mass, random gauge potential, and random chemical potential, on the stability of the system are also addressed. An analogous analysis reveals that both random mass and random gauge potential are irrelevant. This implies that these fixed points of the velocity ratio are stable, and hence observable effects ignited by them are unchanged. However, the random chemical potential is marginal. As a result, these fixed points are broken, and thus, the instabilities of quantum phase transitions are triggered.
机译：由于d_x〜2_-y〜2的间隙对称性，无间隙的节点准粒子出现在高T_铜酸盐超导体的低能态下。我们研究了在超导圆顶中接近各个量子临界点的这些准粒子的费米速度V_F和间隙速度v_△的异常重整化。特别要注意速度比v_△/ v_F的行为，因为它决定了许多可观察的量。我们进行了归一化组分析，并显示出速度比可能在不同的量子临界点消失，趋于统一或发散。相应的超流体密度和临界温度被抑制，稍微增加或显着提高。还讨论了三种类型的静态疾病，即随机质量，随机量规电势和随机化学势对系统稳定性的影响。相似的分析表明，随机质量和随机标尺势均无关。这意味着速度比的这些固定点是稳定的，因此由它们引起的可观察到的效果不变。但是，随机化学势很小。结果，这些固定点被破坏，因此，量子相变的不稳定性被触发。

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