论文标题
通用尺度不变性在从U（1）自旋液体绝缘子到Landau Fermi-liquid金属的Mott过渡中的作用
Role of generic scale invariance in a Mott transition from a U(1) spin-liquid insulator to a Landau Fermi-liquid metal
论文作者
论文摘要
我们研究了通用尺度不变性在Mott从U（1）旋转液体绝缘子到Landau Fermi-liquid金属的过渡中的作用，在该金属中，除了量子临界临界波动外，还存在无质量的自由度。在这里，Mott量子的临界性是通过关键电荷波动来描述的，其他无间隙激发是u（1）在自旋液体状态下耦合到Spinon Fermi表面的量规场波动，事实证明这在Mott过渡中起着核心作用。该问题的一个有趣特征是，在FERMI表面存在下，临界电荷波动之间有效领先局部相互作用的缩放维度与U（1）量规场和物质场波动之间的耦合常数不同。结果，似乎无关紧要的操作员，这可能会在重新归一化组（RG）转换的实施中造成概念上的困难。确实，我们发现，在这种自旋液体的Mott量子临界时，沿Spinon Fermi表面的角方向的曲率项是无关紧要的，导致U（1）量规范波动中自能源校正项的发散。根据尺寸正则化方法，在单循环水平上进行RG分析时，我们揭示了U（1）量压力场波动的极度阻尼动力学，该动力学源于旋转子的紧急一维动力学，不会对任何重新分配对关键电荷波动和Spinon Excitations的有效动力学的效应。然而，事实证明，在这种莫特过渡中，u（1）量规场波动与两个物质场激发之间的耦合仍然存在，这导致了新型的平均场动力学，以解释自旋 - 液体杂种量子量关键的性质。
We investigate the role of generic scale invariance in a Mott transition from a U(1) spin-liquid insulator to a Landau Fermi-liquid metal, where there exist massless degrees of freedom in addition to quantum critical fluctuations. Here, the Mott quantum criticality is described by critical charge fluctuations, and additional gapless excitations are U(1) gauge-field fluctuations coupled to a spinon Fermi surface in the spin-liquid state, which turn out to play a central role in the Mott transition. An interesting feature of this problem is that the scaling dimension of effective leading local interactions between critical charge fluctuations differs from that of the coupling constant between U(1) gauge fields and matter-field fluctuations in the presence of a Fermi surface. As a result, there appear dangerously irrelevant operators, which can cause conceptual difficulty in the implementation of renormalization group (RG) transformations. Indeed, we find that the curvature term along the angular direction of the spinon Fermi surface is dangerously irrelevant at this spin-liquid Mott quantum criticality, responsible for divergence of the self-energy correction term in U(1) gauge-field fluctuations. Performing the RG analysis in the one-loop level based on the dimensional regularization method, we reveal that such extremely overdamped dynamics of U(1) gauge-field fluctuations, which originates from the emergent one-dimensional dynamics of spinons, does not cause any renormalization effects to the effective dynamics of both critical charge fluctuations and spinon excitations. However, it turns out that the coupling between U(1) gauge-field fluctuations and both matter-field excitations still persists at this Mott transition, which results in novel mean-field dynamics to explain the nature of the spin-liquid Mott quantum criticality.
