Related Experiment Video
Updated: Jul 12, 2025

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
Published on: October 12, 2019
Mutual Information and Correlations across Topological Phase Transitions in Topologically Ordered Graphene Zigzag
In-Hwan Lee1, Hoang-Anh Le1, S-R Eric Yang1
1Department of Physics, Korea University, Seoul 02841, Republic of Korea.
Abstract:
Graphene zigzag nanoribbons, initially in a topologically ordered state, undergo a topological phase transition into crossover phases distinguished by quasi-topological order. We computed mutual information for both the topologically ordered phase and its crossover phases, revealing the following results: (i) In the topologically ordered phase, A-chirality carbon lines strongly entangle with B-chirality carbon lines on the opposite side of the zigzag ribbon. This entanglement persists but weakens in crossover phases. (ii) The upper zigzag edge entangles with non-edge lines of different chirality on the opposite side of the ribbon. (iii) Entanglement increases as more carbon lines are grouped together, regardless of the lines' chirality. No long-range entanglement was found in the symmetry-protected phase in the absence of disorder.
Related Concept Videos
Phase Diagrams
Phase Diagram
Phase Transitions
Ziegler–Natta Chain-Growth Polymerization: Overview
Network Covalent Solids
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
Phase Transitions: Melting and Freezing

