论文标题
脱合金属量子关键性：$ u（2）$衡量理论方法
Deconfined metallic quantum criticality: A $U(2)$ gauge-theoretic approach
论文作者
论文摘要
我们讨论了一类新的量子相变（DMT） - 描述具有通用电子费米表面的费米液体金属与没有新兴中性激励的费米表面的费米液体金属之间的连续过渡。我们构建了一个统一的$ u（2）$量规理论来描述各种金属和绝缘阶段，其中包括费米液体，分数化的费米液体（FL*），常规的绝缘剂和量子自旋液体以及它们之间的量子相变。我们将DMT作为基本构建块，我们提出了一个独特的量子相变（Dementine Metal-Metal Truntion（DM $^2 $ t）），该转换描述了两个金属相之间的连续过渡，并伴随着其电子效率表面的大小（也将其fermi fermi表面）跳跃（也将“ fermi a”'fermi Truntition n Truntition'）。我们在受控的扩展中使用重新归一化的组框架研究了这些新类别的金属量子临界点，并对各种有趣的方案发表评论，这些方案可以超出此领先的顺序计算。我们还研究了$ u（1）\ times u（1）$量规理论，该理论与$ u（2）$仪表理论共享许多相似之处，并就与DMT，DM $^2 $ T和量子旋转液体相关的许多现象阐明了重要的灯光。
We discuss a new class of quantum phase transitions -- Deconfined Mott Transition (DMT) -- that describe a continuous transition between a Fermi liquid metal with a generic electronic Fermi surface and an electrical insulator without Fermi surfaces of emergent neutral excitations. We construct a unified $U(2)$ gauge theory to describe a variety of metallic and insulating phases, which include Fermi liquids, fractionalized Fermi liquids (FL*), conventional insulators and quantum spin liquids, as well as the quantum phase transitions between them. Using the DMT as a basic building block, we propose a distinct quantum phase transition -- Deconfined Metal-Metal Transition (DM$^2$T) -- that describes a continuous transition between two metallic phases, accompanied by a jump in the size of their electronic Fermi surfaces (also dubbed a 'Fermi transition'). We study these new classes of deconfined metallic quantum critical points using a renormalization group framework at the leading nontrivial order in a controlled expansion, and comment on the various interesting scenarios that can emerge going beyond this leading order calculation. We also study a $U(1)\times U(1)$ gauge theory that shares a number of similarities with the $U(2)$ gauge theory and sheds important light on many phenomena related to DMT, DM$^2$T and quantum spin liquids.
