Edge Zeros and Boundary Spinons in Topological Mott Insulators

Area of Science:

• Condensed matter physics
• Topological materials science
• Quantum magnetism

Background:

• Topological Mott insulators exhibit unique electronic properties arising from strong electron-electron interactions and non-trivial band topology.
• Understanding the interplay between topology and correlation is crucial for designing novel quantum materials.
• The Kane-Mele-Hubbard model serves as a key theoretical framework for studying these phenomena.

Purpose of the Study:

• To elucidate the physical significance of Green function zeros in topological Mott insulators.
• To investigate the behavior of edge modes at interfaces between topological Mott insulators and conventional topological insulators.
• To explore the emergence of exotic electronic states at these interfaces.

Main Methods:

• Real-space slave-rotor theory applied to the Kane-Mele-Hubbard model.
• Analysis of Green function zeros and their relation to bulk and edge spectra.
• Theoretical modeling of interfaces between different types of topological insulators.

Main Results:

• A topological gap in Green function zeros corresponds to a gapped bulk spinon spectrum and a gapless edge mode.
• At the interface, the topological Mott insulator's spinon edge mode merges with the conventional topological insulator's electron edge state.
• This hybridization results in a non-Fermi liquid edge mode characterized by gapless holons and gapped spinons.

Conclusions:

• Green function zeros provide a direct physical interpretation within the context of topological Mott insulators.
• Interfaces between topological Mott insulators and conventional topological insulators host rich and novel physics.
• The identified non-Fermi liquid edge mode offers a new avenue for exploring exotic quantum phenomena.