论文标题
异常双层量子厅效应
Anomalous Bilayer Quantum Hall Effect
论文作者
论文摘要
In parallel to the condensed-matter realization of quantum Hall (Chern insulators), quantum spin Hall (topological insulators), and fractional quantum Hall (fractional Chern insulators) effects, we propose that bilayer flat band (FB) lattices with one FB in each layer constitute solid-state analogues of bilayer quantum Hall (BQH) system, leading to anomalous BQH (ABQH) effect,没有磁场。作为一个典型的例子，通过对双层kagome晶格哈密顿量的确切对角度化，我们证明了激子冷凝水Halperin's（1,1,1）状态的稳定，在总填充$ v_t = 1 $的总中，这是两个FBS的总填充$ v_t = 1 $。此外，通过调整$ v_t = 2/3 $的kagome层之间的层间隧道和距离，我们显示了Halperin's（3,3,0）（3,3,0），旋转单缝线（1,1,1,2）和Laughlin的1/3个州的粒子孔共轭之间的相变，如先前在BQH系统中所见。我们的工作通过展示双层FB材料作为实现异国情调的ABQH国家（包括非亚伯利亚人）的有吸引力的途径，从而在FB物理学领域打开了新的研究方向。
In parallel to the condensed-matter realization of quantum Hall (Chern insulators), quantum spin Hall (topological insulators), and fractional quantum Hall (fractional Chern insulators) effects, we propose that bilayer flat band (FB) lattices with one FB in each layer constitute solid-state analogues of bilayer quantum Hall (BQH) system, leading to anomalous BQH (ABQH) effect, without magnetic field. By exact diagonalization of a bilayer Kagome lattice Hamiltonian, as a prototypical example, we demonstrate the stabilization of excitonic condensate Halperin's (1,1,1) state at the total filling $v_T=1$ of the two Fbs. Furthermore, by tuning the inter-layer tunneling and distance between the Kagome layers at $v_T=2/3$, we show phase transitions among Halperin's (3,3,0), spin-singlet (1,1,2), and particle-hole conjugate of Laughlin's 1/3 states, as previously observed in BQH systems. Our work opens a new research direction in the field of FB physics by demonstrating bilayer FB materials as an attractive avenue for realizing exotic ABQH states including non-Abelian anyons.
