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Condensed Matter > Strongly Correlated Electrons

Title: Multiple Chern bands in twisted MoTe$_2$ and possible non-Abelian states

Abstract: We investigate the moir\'e band structures and possible even denominator fractional quantum Hall state in small angle twisted bilayer MoTe$_2$, using combined large-scale local basis density functional theory calculation and continuum model exact diagonalization. Via large-scale first principles calculations at $\theta=1.89^{\circ}$, we find a sequence of $C=1$ moir\'e Chern bands, in analogy to Landau levels. Constructing the continuum model with multiple Chern bands and uniform Berry curvature in the second moir\'e band, we undertake band-projected exact diagonalization using unscreened Coulomb repulsion to pinpoint possible $\nu=-3/2$ non-Abelian states across a wide range of twist angles below $\theta=2.5^{\circ}$.
Comments: 5+4 pages, 4+6 figures
Subjects: Strongly Correlated Electrons (cond-mat.str-el); Materials Science (cond-mat.mtrl-sci)
Cite as: arXiv:2403.17003 [cond-mat.str-el]
  (or arXiv:2403.17003v1 [cond-mat.str-el] for this version)

Submission history

From: Yang Zhang [view email]
[v1] Mon, 25 Mar 2024 17:59:34 GMT (9424kb,D)

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