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<p>We show that electron crystals compete closely with non-Abelian fractional Chern insulators in the half-filled second moiré band of twisted bilayer MoTe<sub>2</sub>. Depending on the twist angle and microscopic model, these crystals can have non-zero or zero Chern numbers <i>C</i>. The <i>C</i>&#xa0;=&#xa0;0 crystal occurs because contributions to the total Chern number from the full first band (+1) and half-full second band (-1) cancel. This is counterintuitive because the first two non-interacting bands in a given valley have the same Chern number &#xa0;+&#xa0;1. For these two reasons, we call this crystal an <i>anti-topological crystal</i>. The anti-topological crystal is a novel type of electron crystal that may occur in systems with multiple Chern bands at filling factors <i>n</i>&#xa0;&gt;&#xa0;1.</p>

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Anti-topological crystal and non-Abelian liquid in twisted semiconductor bilayers

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月25日

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  • Aidan P. Reddy,
  • D. N. Sheng,
  • Ahmed Abouelkomsan,
  • Emil J. Bergholtz,
  • Liang Fu

摘要

We show that electron crystals compete closely with non-Abelian fractional Chern insulators in the half-filled second moiré band of twisted bilayer MoTe2. Depending on the twist angle and microscopic model, these crystals can have non-zero or zero Chern numbers C. The C = 0 crystal occurs because contributions to the total Chern number from the full first band (+1) and half-full second band (-1) cancel. This is counterintuitive because the first two non-interacting bands in a given valley have the same Chern number  + 1. For these two reasons, we call this crystal an anti-topological crystal. The anti-topological crystal is a novel type of electron crystal that may occur in systems with multiple Chern bands at filling factors n > 1.