Quantum geometry in condensed matter: Fundamentals and applications

Quantum geometry encodes how Bloch wavefunctions change across momentum space, endowing electronic bands with length, phase, and response scales beyond their dispersion. In this Editorial, we outline how quantum geometry shapes the modern condensed matter phenomena, including linear and nonlinear transport, optical selection rules, collective modes, fractional Chern phases, flatband superconductivity, magnetism, and many-body quantum information. We present the organizing principles for designing, interpreting, and harvesting electronic responses in quantum materials with nontrivial Bloch-state texture.