Thermal crossover from a Chern insulator to a fractional Chern insulator in pentalayer graphene

S Das Sarma, M **e - Physical Review B, 2024 - APS
By theoretically analyzing the recent temperature dependent transport data (Lu, arxiv:
2408.10203) in pentalayer graphene, we establish that the experimentally observed …

Interplay of electronic crystals with integer and fractional Chern insulators in moir\'e pentalayer graphene

D Waters, A Okounkova, R Su, B Zhou, J Yao… - arxiv preprint arxiv …, 2024 - arxiv.org
The rapid development of moir\'e quantum matter has recently led to the remarkable
discovery of the fractional quantum anomalous Hall effect, and sparked predictions of other …

Quantum Geometry in Quantum Materials

J Yu, BA Bernevig, R Queiroz, E Rossi, P Törmä… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum geometry, characterized by the quantum geometric tensor, is pivotal in diverse
physical phenomena in quantum materials. In condensed matter systems, quantum …

Fractional quantum anomalous Hall effect in rhombohedral multilayer graphene with a strong displacement field

K Huang, S Das Sarma, X Li - Physical Review B, 2025 - APS
We investigate the fractional quantum anomalous Hall (FQAH) effect in rhombohedral
multilayer graphene (RnG) in the presence of a strong applied displacement field. We first …

Edge-driven transition between extended quantum anomalous Hall crystal and fractional Chern insulator in rhombohedral graphene multilayers

Z Wei, AK Wu, M Gonçalves, SZ Lin - Physical Review B, 2025 - APS
Fractional Chern insulators (FCI) with fractionally quantized Hall conductance at fractional
fillings and an extended quantum anomalous Hall (EQAH) crystal with an integer quantized …

Wavefunction approach to the fractional anomalous Hall crystal

T Tan, J May-Mann, T Devakul - arxiv preprint arxiv:2409.06775, 2024 - arxiv.org
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 …

[HTML][HTML] Correlated insulators and charge density wave states in chirally twisted triple bilayer graphene

GD Zhou, YJ Wang, WX Wang, XB Lu, ZD Song - Materials Today Quantum, 2024 - Elsevier
Motivated by recent experimental observations of displacement-field-tuned correlated
insulators at integer and half-integer fillings in chirally twisted triple bilayer graphene …

Fractional Chern mosaic in supermoir\'e graphene

YH Kwan, T Tan, T Devakul - arxiv preprint arxiv:2411.08880, 2024 - arxiv.org
We propose the realization of a fractional Chern mosaic: a state characterized by a spatially
varying topological order. This state is enabled by a separation of length scales that …

Chiral superconductivity from parent Chern band and its non-Abelian generalization

YQ Wang, ZQ Gao, H Yang - arxiv preprint arxiv:2410.05384, 2024 - arxiv.org
We propose a minimal model starting from a parent Chern band with quartic dispersion that
can describe the spin-valley polarized electrons in rhombohedral tetra-layer graphene. The …