Higher-rank deconfined quantum criticality at the Lifshitz transition and the exciton Bose condensate
Higher-rank deconfined quantum criticality at the Lifshitz transition and the exciton Bose condensate
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Lifshitz 跃迁和激子玻色凝聚的高阶解禁量子临界性
DOI：
10.1103/physrevb.98.125105
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发表时间：
2018
影响因子：
3.7
通讯作者：
M. Pretko
中科院分区：
文献类型：
--
作者：
Han Ma;M. Pretko
解禁闭量子临界点的特征是出现规范场和奇异的分数粒子，它们只在临界点上作为明确的激发存在。在这里，我们证明了量子临界点的存在，该临界点由一个以次维激发为特征的浮现张量规范理论描述，并与分形子理论密切相关。我们首先重新研究了双层蜂窝晶格上两个价键固体(VBS)相之间的解禁闭量子临界点。我们证明了临界理论映射到一维粒子的二阶张量规范理论。在略有不同的背景下，相同的张量规范理论也描述了二维超流和有限动量玻色凝聚之间的反受限量子临界点，这两个理论都是一阶规范理论的对偶。这代表了一种全新的去受限量子临界性，其中临界张量规范理论出现在稳定的常规规范理论之上。此外，我们提出，这个量子临界点产生了一个新的有限温度相的玻色子，表现为激子玻色凝聚，其中激子(玻色子-空穴对)凝聚，而单个玻色子不凝聚。我们讨论了对这一理论的微小修正是如何导致由帕拉肯蒂、波伦茨和费雪研究的稳定的量子“激子玻色液体”相的。
Deconfined quantum critical points are characterized by the presence of an emergent gauge field and exotic fractionalized particles, which exist as well-defined excitations only at the critical point. We here demonstrate the existence of quantum critical points described by an emergent tensor gauge theory featuring subdimensional excitations, in close relation to fracton theories. We begin by reexamining a previously studied deconfined quantum critical point between two valence bond solid (VBS) phases on a bilayer honeycomb lattice. We show that the critical theory maps onto a rank-two tensor gauge theory featuring one-dimensional particles. In a slightly different context, the same tensor gauge theory also describes a deconfined quantum critical point between a two-dimensional superfluid and a finite-momentum Bose condensate, both of which are dual to rank-one gauge theories. This represents an entirely new class of deconfined quantum criticality, in which a critical tensor gauge theory arises on top of a stable conventional gauge theory. Furthermore, we propose that this quantum critical point gives rise to a new finite-temperature phase of bosons, behaving as an exciton Bose condensate, in which excitons (boson-hole pairs) are condensed but individual bosons are not. We discuss how small modifications of this theory give rise to the stable quantum "exciton Bose liquid" phase studied by Paramekanti, Balents, and Fisher.
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