论文标题

多频段费米液体的命运,与关键的$ ϕ^4 $玻色子相结合

Fate of a multiple-band Fermi liquid that is coupled with critical $ϕ^4$ bosons

论文作者

Pan, Zhiming, Shindou, Ryuichi

论文摘要

电子能带的多种频段性质会导致固体中新型的物理作用。在本文中,我们阐明了具有一对电子和孔费米表面(FSS)的费米系统的物理特性,其耦合是由关键的U(1)玻色子场介导的。通过使用单环的重新归一化组分析,我们表明,当玻色子场与破裂的U(1)对称性进行量子相变时,多波段费米系统在其热力学和磁性特性中显示了非Fermi液体(非FL)行为。在量子临界点(QCP)上,两个FS的费米速度将其重新归一致地与玻色子速度相同的临界速度,并且fermion的状态密度(DOS)显示出具有QCP上对数能量依赖性的伪间隙行为。

Multiple-band nature of electronic energy bands leads to novel physical effects in solids. In this paper, we clarify physical properties of a Fermi system with a pair of electron and hole Fermi surfaces (FSs), whose coupling is mediated by a critical U(1) boson field. By using a one-loop renormalization group analysis, we show that when the boson field undergoes a quantum phase transition with broken U(1) symmetry, the multiple-band Fermi system shows a non-Fermi liquid (non-FL) behaviour in its thermodynamic and magnetic properties. At a quantum critical point (QCP), Fermi velocities of the two FSs are renormalized into a same critical velocity as a boson velocity, and the fermion's density of states (DOS) shows a pseudo-gap behaviour with a logarithmic energy dependence at the QCP.

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