Topologically constrained obstructed atomic limits in quasi-one-dimensional systems

Abstract

Possible forms of obstructed atomic limits in quasi-one-dimensional systems are studied using line group symmetry. This is accomplished by revisiting the standard theory with an emphasis on its group-theoretical background, synthesizing the insights into a theorem that effectively identifies potential cases. The framework is then applied across the classes of quasi-one-dimensional systems, where the obstructed atomic limit serves as the primary criterion for topological characterization. The results are systematically organized and displayed, complemented by several illustrative examples.

57 pages, 31 figures