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Filling-Sensitive Spectral Complexity from Hilbert-Space Holonomy in Fragmented Non-Hermitian Systems
Jiong-Hao Wang, Maria Zelenayova, Christopher Ekman +1
We show that Hilbert-space holonomy provides a geometric organizing principle for spectral reality in fragmented non-Hermitian many-body systems, complementary to conventional symm…
Symmetry-Fractionalized Skin Effects in Non-Hermitian Luttinger Liquids
Christopher Ekman, Emil J. Bergholtz, Paolo Molignini
In one dimension, strongly correlated gapless systems are highly constrained due to conformal invariance, leading to the decoupling of low energy degrees of freedom corresponding t…
Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands
Hui Liu, Zhao Liu, Emil J. Bergholtz
Breakthrough experiments have recently realized fractional Chern insulators (FCIs) in moiré materials. However, all states observed are Abelian, the possible existence of more exo…
Broken Symmetry in Ideal Chern Bands
Hui Liu, Kang Yang, Ahmed Abouelkomsan +2
Recent observations of the fractional anomalous quantum Hall effect in moiré materials have reignited the interest in fractional Chern insulators (FCIs). The chiral limit in which…
Parafermions in Moiré Minibands
Hui Liu, Raul Perea-Causin, Emil J. Bergholtz
Moiré materials provide a remarkably tunable platform for topological and strongly correlated quantum phases of matter. Very recently, the first zero field Abelian fractional Cher…
Multiferroicity and Topology in Twisted Transition Metal Dichalcogenides
Ahmed Abouelkomsan, Emil J. Bergholtz, Shubhayu Chatterjee
Van der Waals heterostructures have recently emerged as an exciting platform for investigating the effects of strong electronic correlations, including various forms of magnetic or…