论文标题
激子冷凝物在拓扑平坦带中的量子厅效应
Quantum Hall effects of exciton condensate in topological flat bands
论文作者
论文摘要
强磁场下二维电子气体系统中的可调激子冷凝物由于相互的库仑耦合而表现出异常的大厅，并吸引了大量的研究活动。在这里，我们在没有Landau级别的情况下使用拓扑平面模型探索了另一个框架，以实现在强大的相互作用相互作用下两组分子费米的多体激子阶段。 By developing new diagnosis based on the state-of-the-art density-matrix renormalization group and exact diagonalization, we show the theoretical discovery of the emergence of Halperin (111) quantum Hall effect at a total filling factor $ν=1$ in the lowest Chern band under strong Hubbard repulsion, which is classified by the unique ground state with bulk charge insulation and spin superfluidity, The topological nature is further characterized by one edge手性传播Luttinger模式的分支与级别计数$ 1,1,2,3,5,7 $相符，这与保形场理论描述一致。此外，随着最近的排斥，我们提出了最低的Chern带中的Halperin（333）分数量子厅效应，总填充因子$ν= 1/3 $。
Tunable exciton condensates in two dimensional electron gas systems under strong magnetic field exhibits anomalous Hall transport owing to mutual Coulomb coupling, and have attracted a lot of research activity. Here, we explore another framework using topological flat band models in the absence of Landau levels, for realizing the many-body exciton phases of two-component fermions under strong intercomponent interactions. By developing new diagnosis based on the state-of-the-art density-matrix renormalization group and exact diagonalization, we show the theoretical discovery of the emergence of Halperin (111) quantum Hall effect at a total filling factor $ν=1$ in the lowest Chern band under strong Hubbard repulsion, which is classified by the unique ground state with bulk charge insulation and spin superfluidity, The topological nature is further characterized by one edge branch of chiral propagating Luttinger modes with level counting $1,1,2,3,5,7$ in consistent with the conformal field theory description. Moreover, with nearest-neighbor repulsions, we propose the Halperin (333) fractional quantum Hall effect at a total filling factor $ν=1/3$ in the lowest Chern band.
