Stability of multinode Dirac semimetals against strong long-range correlations
Stability of multinode Dirac semimetals against strong long-range correlations
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DOI：
10.1103/physrevb.90.075137
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发表时间：
2014-05
影响因子：
3.7
通讯作者：
A. Sekine;K. Nomura
中科院分区：
文献类型：
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作者：
A. Sekine;K. Nomura
我们研究了三维空间中具有$N$节点的狄拉克半金属在强$1/r$长程库仑相互作用下的稳定性。我们特别研究了N=4$和N=16$的情形，其中N=4$ Dirac半金属用交错费米子描述，N=16$ Dirac半金属用双格费米子描述.我们考虑到$1/r$长程库仑相互作用之间的散装电子。基于U（1）格点规范理论，我们从强耦合极限出发对系统进行了分析。结果表明，当狄拉克锥的面外费米速度各向异性较弱时，狄拉克半金属在强耦合极限下仍然存在，而当各向异性较强时，狄拉克半金属转变为Mott绝缘体.给出了关联多节点狄拉克半金属的一种可能的全局相图。我们的结果的影响Weyl半金属和三维拓扑绝缘体的稳定性进行了讨论。
We study the stability of Dirac semimetals with $N$ nodes in three spatial dimensions against strong $1/r$ long-range Coulomb interactions. We particularly study the cases of $N=4$ and $N=16$, where the $N=4$ Dirac semimetal is described by the staggered fermions and the $N=16$ Dirac semimetal is described by the doubled lattice fermions. We take into account the $1/r$ long-range Coulomb interactions between the bulk electrons. Based on the U(1) lattice gauge theory, we analyze the system from the strong coupling limit. It is shown that the Dirac semimetals survive in the strong coupling limit when the out-of-plane Fermi velocity anisotropy of the Dirac cones is weak, whereas they change to Mott insulators when the anisotropy is strong. A possible global phase diagram of correlated multinode Dirac semimetals is presented. Implications of our result to the stability of Weyl semimetals and three-dimensional topological insulators are discussed.