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Correlated metallic state in honeycomb lattice: Orthogonal Dirac semimetal

机译：蜂窝晶格中的相关金属态：正交狄拉克半金属

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摘要

A novel gapped metallic state coined orthogonal Dirac semimetal is proposed in the honeycomb lattice in terms of Z_2 slave-spin representation of Hubbard model. This state corresponds to the disordered phase of slave spin and has the same thermodynamical and transport properties as a usual Dirac semimetal but its singe-particle excitation is gapped and has nontrivial topological order due to the Z_2 gauge structure. The quantum phase transition from this orthogonal Dirac semimetal to the usual Dirac semimetal is described by a mean-field decoupling with complementary fluctuation analysis and its criticality falls into the universality class of 2 + 1D Ising model while a large anomalous dimension for the physical electron is found at quantum critical point (QCP), which could be considered as a fingerprint of our fractionalized theory when compared to other nonfractionalized approaches. As byproducts, a path integral formalism for the Z_2 slave-spin representation of Hubbard model is constructed and possible relations to other approaches and the sublattice pairing states, which has been argued to be a promising candidate for gapped spin liquid state found in the numerical simulation, are briefly discussed. Additionally, when spin-orbit coupling is considered, the instability of orthogonal Dirac semimetal to the fractionalized quantum spin Hall insulator (fractionalized topological insulator) is also expected. We hope the present work may be helpful for future studies in Z_2 slave-spin theory and related non-Fermi-liquid phases in honeycomb lattice.
机译：根据Hubbard模型的Z_2从动自旋表示，在蜂窝晶格中提出了一种新颖的带间隙金属态的精铸正交Dirac半金属。该状态对应于从旋自旋的无序相，并且具有与通常的狄拉克半金属相同的热力学和传输性质，但是由于Z_2规规结构，其单质粒子激发是有缝隙的，并且具有不平凡的拓扑顺序。从这种正交狄拉克半金属到普通狄拉克半金属的量子相变通过均场解耦和互补涨落分析来描述，其临界度属于2 + 1D Ising模型的通用性范畴，而物理电子的大反常维数为在量子临界点（QCP）上发现，与其他非分馏方法相比，它可以被视为我们分馏理论的指纹。作为副产品，构建了Hubbard模型的Z_2从属自旋表示的路径积分形式，并与其他方法和子晶格配对状态可能存在联系，据认为这是数值模拟中发现的有空自旋液态的有希望的候选者，简要讨论。此外，当考虑自旋轨道耦合时，还预期正交Dirac半金属对分数量子自旋霍尔绝缘子（分数拓扑绝缘子）的不稳定性。我们希望目前的工作可能对Z_2从旋理论和蜂窝晶格中的非费米液相有关的未来研究有所帮助。

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