Progress in understanding fractional anomalous hall crystal
ORAL
Abstract
We propose fractional anomalous Hall crystals (FAHCs) as possible ground states of strongly interacting electrons in parent bands with Berry curvature.
FAHCs are exotic states of matter that spontaneously break continuous translation symmetry to form a fractional Chern insulator.
We construct a unified family of variational wavefunctions that describe FAHCs and their competing states in the presence of uniform parent Berry curvature.
We calculate their variational energy with Coulomb interactions semi-analytically in the thermodynamic limit.
Our analysis reveals that FAHCs can be energetically favorable over both Wigner crystals and integer anomalous Hall crystals for sufficiently strong interactions or flat dispersion.
FAHCs are exotic states of matter that spontaneously break continuous translation symmetry to form a fractional Chern insulator.
We construct a unified family of variational wavefunctions that describe FAHCs and their competing states in the presence of uniform parent Berry curvature.
We calculate their variational energy with Coulomb interactions semi-analytically in the thermodynamic limit.
Our analysis reveals that FAHCs can be energetically favorable over both Wigner crystals and integer anomalous Hall crystals for sufficiently strong interactions or flat dispersion.
*Trithep Devakul is supported by a startup fund in Stanford. Tixuan Tan is supported by Stanford graduate fellowship.
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Publication: arXiv:2409.06775
Presenters
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Tixuan Tan
- Stanford University