We investigate relations between topology and the quantum metric of two-dimensional
Chern insulators. The quantum metric is the Riemannian metric defined on a parameter …

We study Chern insulators from the point of view of Kähler geometry, ie, the geometry of
smooth manifolds equipped with a compatible triple consisting of a symplectic form, an …

We describe a systematic method to construct models of Chern insulators whose Berry
curvature and the quantum volume form coincide and are flat over the Brillouin zone; such …

We analyze the thermodynamical limit of the quantum metric along critical submanifolds of
theory space. Building upon various results previously known in the literature, we relate its …

One of the most important challenges in condensed matter physics is to develop unified and
simple picture for understanding phases of matter. The so-called symmetry breaking is one …