论文标题
在应变引起的Landau水平上相互作用的无间隙状态
Gapless state of interacting Majorana fermions in a strain-induced Landau level
论文作者
论文摘要
机械应变可以产生伪磁场，因此可以产生二维量子物质的低能激励。我们研究了由中央LL中残留的仿制自旋相互作用引起的分数化的主要化的集体状态，在该中央LL中，预测的汉密尔顿人以复杂的方式反映了自旋对称性：新兴的U（1）和粒子孔对称性和颗粒孔对称性，禁止任何双线性耦合，导致内在相互作用的系统固有强烈的系统；另外，它们允许定义填充分数，该分数固定在1/2。我们认为，由此产生的多体态在我们的数值准确性中是无处不在的，这意味着超短距离的自旋相关性，而手性相关因子衰减代数。这相当于Kitaev的“非Fermi”自旋液体，并表明相互作用的Majorana fermions可以在绝缘磁体中表现出类似于分数量子霍尔物理学的复杂行为。
Mechanical strain can generate a pseudo-magnetic field, and hence Landau levels (LL), for low energy excitations of quantum matter in two dimensions. We study the collective state of the fractionalised Majorana fermions arising from residual generic spin interactions in the central LL, where the projected Hamiltonian reflects the spin symmetries in intricate ways: emergent U(1) and particle-hole symmetries forbid any bilinear couplings, leading to an intrinsically strongly interacting system; also, they allow the definition of a filling fraction, which is fixed at 1/2. We argue that the resulting many-body state is gapless within our numerical accuracy, implying ultra-short-ranged spin correlations, while chirality correlators decay algebraically. This amounts to a Kitaev `non-Fermi' spin liquid, and shows that interacting Majorana Fermions can exhibit intricate behaviour akin to fractional quantum Hall physics in an insulating magnet.
