论文标题
在应变和反转对称性破裂下，Luttinger半准表面状态的演变：狄拉克，线节和Weyl半含量
Evolution of the surface states of the Luttinger semimetal under strain and inversion-symmetry breaking: Dirac, line-node, and Weyl semimetals
论文作者
论文摘要
在立方对称性下，具有$ J = \ frac32 $角动量的电子的二次节点的Luttinger模型是母体，最高的对称性低能模型，用于多种拓扑和强相关的材料，例如HGTE，HGTE，HGTE，$α$ -SN，$α$ -SN，以及iraties Anders and iraties Ampoilds。以前，我们从理论上证明了Luttinger半准表面状态。在目前的工作中，我们从理论上研究了这些表面状态在降低对称性的扰动下的演变：压缩应变和散装不对称性（BIA）。 This system is quite special in that each consecutive perturbation creates a new type of a semimetal phase, resulting in a sequence of four semimetal phases, where each successive phase arises by modification of the nodal structure of the previous phase: under compressive strain, the Luttinger semimetal turns into a Dirac semimetal, which under the linear-in-momentum BIA term turns into a line-node semimetal, which under the立方内的BIA项变成了Weyl semimetal。我们计算了``半分析''方法中的这四个半学相中的广义Luttinger模型中的表面状态，并充分分析了表面状态的相应演化。重要的是，对于这四个半学相的序列，有描述节点效率的低能模型的相应层次结构。我们得出了大多数模型，并在其中一些模型的表面谱之间表明了定量渐近一致。这证明了负责表面状态的机制完全包含在其有效性范围内的低能模型中，一旦补充了适当的边界条件，并证明了连续模型非常适用于研究表面状态。
The Luttinger model of a quadratic-node semimetal for electrons with the $j=\frac32$ angular momentum under cubic symmetry is the parent, highest-symmetry low-energy model for a variety of topological and strongly correlated materials, such as HgTe, $α$-Sn, and iridate compounds. Previously, we have theoretically demonstrated that the Luttinger semimetal exhibits surface states. In the present work, we theoretically study the evolution of these surface states under symmetry-lowering perturbations: compressive strain and bulk-inversion asymmetry (BIA). This system is quite special in that each consecutive perturbation creates a new type of a semimetal phase, resulting in a sequence of four semimetal phases, where each successive phase arises by modification of the nodal structure of the previous phase: under compressive strain, the Luttinger semimetal turns into a Dirac semimetal, which under the linear-in-momentum BIA term turns into a line-node semimetal, which under the cubic-in-momentum BIA terms turns into a Weyl semimetal. We calculate the surface states within the generalized Luttinger model for these four semimetal phases within a ``semi-analytical'' approach and fully analyze the corresponding evolution of the surface states. Importantly, for this sequence of four semimetal phases, there is a corresponding hierarchy of the low-energy models describing the vicinities of the nodes. We derive most of these models and demonstrate quantitative asymptotic agreement between the surface-state spectra of some of them. This proves that the mechanisms responsible for the surface states are fully contained in the low-energy models within their validity ranges, once they are supplemented with proper boundary conditions, and demonstrates that continuum models are perfectly applicable for studying surface states.
