We elaborate that for topological insulators and topological superconductors described by
Dirac models in any dimension and symmetry class, the topological order can be mapped to …

The importance of the quantum metric in flat-band systems has been noticed recently in
many contexts such as the superfluid stiffness, the dc electrical conductivity, and ideal Chern …

The spectral properties of a non‐Hermitian quasi‐1D lattice in two of the possible
dimerization configurations are investigated. Specifically, it focuses on a non‐Hermitian …

The quantum geometric tensor characterizes the complete geometric properties of quantum
states, with the symmetric part being the quantum metric and the antisymmetric part being …

The quantum geometry in the momentum space of semiconductors and insulators,
described by the quantum metric of the valence-band Bloch state, has been an intriguing …

The z-component of the Néel vector is measurable by the anomalous Hall conductivity in
altermagnets because time reversal symmetry is broken. On the other hand, it is a nontrivial …

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 …

The topology of the electronic band structure of solids can be described by its Berry
curvature distribution across the Brillouin zone. We theoretically introduce and …

The momentum space of topological insulators and topological superconductors is
equipped with a quantum metric defined from the overlap of neighboring valence band …

The imaginary part of the quantum geometric tensor is the Berry curvature, while the real
part is the quantum metric. Dirac fermions derived from a tight-binding model naturally …