# Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers

@article{Mera2022RelatingTT, title={Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers}, author={Bruno Mera and Anwei Zhang and Nathan Goldman}, journal={SciPost Physics}, year={2022} }

Quantum geometry has emerged as a central and ubiquitous concept in quantum sciences, with direct consequences on quantum metrology and many-body quantum physics. In this context, two fundamental geometric quantities are known to play complementary roles:~the Fubini-Study metric, which introduces a notion of distance between quantum states defined over a parameter space, and the Berry curvature associated with Berry-phase effects and topological band structures. In fact, recent studies have…

## 7 Citations

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We consider a family of twisted graphene multilayers consisting of n-untwisted chirally stacked layers, e.g. AB, ABC, etc, with a single twist on top of m-untwisted chirally stacked layers. Upon…

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