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arXiv 2008.00359cond-mat.str-el
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与临界$ϕ^4$玻色子耦合的多带费米液体的命运

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

Zhiming Pan, Ryuichi Shindou

摘要:

电子能带的多带性质导致固体中的新物理效应。本文研究了具有一对电子和空穴费米面的费米系统的物理性质,该费米系统的耦合由临界U(1)玻色子场介导。通过单圈重整化群分析,我们证明了当玻色子场发生U(1)对称性破缺的量子相变时,多带费米系统在热力学和磁学性质上表现出非费米液体(non-FL)行为.在量子临界点(QCP),费米速度的两个FS重整成一个相同的临界速度作为玻色子速度,和费米子的态密度(DOS)的赝能隙行为与对数能量依赖在QCP。

英文摘要:

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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