Bulk-Boundary Correspondence: Understanding Topological Phases in Materials

Bulk-Boundary Correspondence (体边对应) is a fundamental concept in physics that describes the relationship between the topological properties of a material's bulk and its boundary. This correspondence reveals that the topological characteristics of the boundary can be determined by observing the bulk's topological properties. This principle has significant implications in materials science and condensed matter physics, particularly in understanding topological phases of matter. In these systems, the bulk exhibits non-trivial topological properties, and as a consequence, the boundary hosts exotic states that are protected by topology. This means that the boundary states are robust against perturbations and can even exist in the presence of disorder. The Bulk-Boundary Correspondence provides a powerful tool for exploring and manipulating these topological states, leading to exciting possibilities for new materials with unique properties.