Design of higher Chern number two-band structures from topological defect perspective.

Area of Science:

• Condensed Matter Physics
• Topological Materials Science

Background:

• Chern numbers are crucial topological invariants in condensed matter physics.
• Topological defects, such as merons, offer a unique perspective for constructing topological models.

Purpose of the Study:

• To propose novel methods for designing higher Chern number models.
• To explore the relationship between topological defects and Chern numbers.
• To facilitate practical material design for topological applications.

Main Methods:

• Utilizing the topological defect perspective to design higher Chern number models.
• Investigating the impact of meron positions and quantities on Chern number.
• Constructing and analyzing the energy spectrum of designed models.

Main Results:

• Demonstrated that higher Chern number structures can be achieved by adjusting meron positions and/or quantities.
• Successfully constructed several models exhibiting higher Chern number characteristics.
• Observed multiple gapless states on the edges of the designed models.

Conclusions:

• The proposed methods offer a simplified approach to obtaining Chern numbers without complex integral calculations.
• The findings provide a practical technique for the design of new topological materials.
• This work bridges the gap between fundamental topological concepts and practical material engineering.