Figure 2 (IMAGE) Institute for Basic Science Caption (Left) A cartoon representing the geometric structure of the Bloch states. The quantum distance measures the quantum mechanical distance between two Bloch wave functions. (Right) Bloch wave functions of the flat band can be represented by the pseudo-spin (arrows). The relative angle between two pseudo-spins corresponds to the quantum distance between the relevant Bloch states. Credit IBS Usage Restrictions Please indicate the credit. License Licensed content Disclaimer: AAAS and EurekAlert! are not responsible for the accuracy of news releases posted to EurekAlert! by contributing institutions or for the use of any information through the EurekAlert system.