Microscopic study of the Halperin-Laughlin interface through matrix product states

Area of Science:

• Condensed Matter Physics
• Topological Phases of Matter
• Quantum Hall Effect

Background:

• Interfaces between topologically distinct phases exhibit rich phenomena.
• The study focuses on the Laughlin phase (ν=1/3) and Halperin 332 phase (ν=2/5).

Purpose of the Study:

• To construct and study model wavefunctions for chiral topological interfaces.
• To capture both bulk and interface properties of the Laughlin-Halperin 332 system.
• To investigate low-energy physics and excitations at the interface.

Main Methods:

• Utilized a family of model wavefunctions based on matrix product states.
• Employed exact diagonalization for validation and comparison.
• Developed tools to characterize interface gapless modes and excitations.

Main Results:

• Successfully modeled the interface between Laughlin and Halperin 332 phases.
• Characterized the interface gapless mode.
• Identified spin and charge excitations in the many-body spectrum.

Conclusions:

• The developed matrix product state framework accurately describes topological interfaces.
• The methods provide new insights into the low-energy physics of topological transitions.
• The approach is broadly applicable to various topological interfaces.