From a fractional quantum anomalous Hall state to a smectic state with equal Hall conductance
arxiv(2024)
摘要
The recent developments in twisted MoTe_2 and rhombohedral multilayer
graphene have generated widespread attention to the general features of
fractional quantum anomalous Hall (FQAH) states, including their possible
coexistence with and transition to various symmetry breaking charge ordered
states. These attentions are pushing forward our knowledge of the relation
between the topological order in FQAH states and the Landau-type of symmetry
breaking order such as the 1D smectic electronic liquid crystal and 2D
charge-density-wave (CDW) solid. Although the transitions from topological
states to symmetry breaking states with trivial topology have been discussed,
the road from one topological ordered state to another with the same Hall
conductance and broken translational symmetry has not been found. Here we show
the intriguing evidence that the FQAH to FQAH Smectic (FQAHS) transition is
robustly realizable in the archetypal correlated flat Chern-band model at
filling ν = 2/3. This transition is novel in that: i) the FQAHS acquires
the same fractional Hall conductance as FQAH, which cannot be explained by
mean-field band folding. The formation of smectic order can be viewed as
perturbation around the transition point, and thus, do not destroy or change
the original topology; ii) the charge excitation remains gapped across the
transition although the neutral gap is closed at transition point; and iii) the
transition is triggered by the softening of roton mode with the same wave
vector as the smectic order. Our discovery opens countless new possibilities,
both theoretical and experimental, in the fast-growing field of robust
fractional Chern insulators.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要