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首页> 外文期刊>Physical Review X >Inhomogeneous Weyl and Dirac Semimetals: Transport in Axial Magnetic Fields and Fermi Arc Surface States from Pseudo-Landau Levels
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Inhomogeneous Weyl and Dirac Semimetals: Transport in Axial Magnetic Fields and Fermi Arc Surface States from Pseudo-Landau Levels

机译：不均匀的Weyl和Dirac半金属：在伪Landau水平上在轴向磁场和费米弧表面态中的传输

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Topological Dirac and Weyl semimetals have an energy spectrum that hosts Weyl nodes appearing in pairs of opposite chirality. Topological stability is ensured when the nodes are separated in momentum space and unique spectral and transport properties follow. In this work, we study the effect of a space-dependent Weyl node separation, which we interpret as an emergent background axial-vector potential, on the electromagnetic response and the energy spectrum of Weyl and Dirac semimetals. This situation can arise in the solid state either from inhomogeneous strain or nonuniform magnetization and can also be engineered in cold atomic systems. Using a semiclassical approach, we show that the resulting axial magnetic field B 5 is observable through an enhancement of the conductivity as σ ～ B 5 2 due to an underlying chiral pseudomagnetic effect. We then use two lattice models to analyze the effect of B 5 on the spectral properties of topological semimetals. We describe the emergent pseudo-Landau-level structure for different spatial profiles of B 5 , revealing that (i)?the celebrated surface states of Weyl semimetals, the Fermi arcs, can be reinterpreted as n = 0 pseudo-Landau levels resulting from a B 5 confined to the surface, (ii)?as a consequence of position-momentum locking, a bulk B 5 creates pseudo-Landau levels interpolating in real space between Fermi arcs at opposite surfaces, and (iii)?there are equilibrium bound currents proportional to B 5 that average to zero over the sample, which are the analogs of bound currents in magnetic materials. We conclude by discussing how our findings can be probed experimentally.
机译：拓扑狄拉克和魏尔半金属具有一个能谱，其具有成对的相反手性出现的魏尔节点。当节点在动量空间中分开并且遵循唯一的光谱和传输特性时，可以确保拓扑稳定性。在这项工作中，我们研究了空间相关的Weyl节点分离对Weyl和Dirac半金属的电磁响应以及能谱的影响，我们将其解释为新兴的背景轴向矢量电势。这种情况可能在固态中由不均匀应变或磁化不均匀引起，也可以在冷原子系统中进行设计。使用半经典方法，我们表明，由于潜在的手性伪磁效应，通过提高电导率σ〜B 5 2可以观察到轴向磁场B 5。然后，我们使用两个晶格模型来分析B 5对拓扑半金属的光谱特性的影响。我们描述了B 5的不同空间轮廓出现的伪兰道夫级结构，揭示了（i）Weyl半金属的著名表面状态，即费米弧，可以重新解释为n = 0伪兰道夫级，这是由a引起的。 B 5限制在表面上，（ii）由于位置动量锁定，块体B 5在伪曲面之间的相对表面的真实空间中产生伪兰道夫级插值，并且（iii）有平衡束缚电流与B 5成正比，B 5在样品上平均为零，这是磁性材料中束缚电流的类似物。最后，我们讨论了如何通过实验探索我们的发现。

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