Non-Abelian Inverse Anderson Transitions

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Topological Materials

Background:

• Inverse Anderson transitions, where disorder destroys flat-band localization, are well-studied in systems with Abelian gauge fields.
• Previous research has primarily focused on Abelian gauge field systems, leaving the behavior in non-Abelian systems unexplored.

Purpose of the Study:

• To investigate inverse Anderson transitions in systems featuring non-Abelian gauge fields for the first time.
• To explore the role of disorder and non-Abelian gauge fields in localization phenomena.

Main Methods:

• Theoretical analysis of disordered non-Abelian Aharonov-Bohm cages.
• Design and fabrication of non-Abelian Aharonov-Bohm topolectrical circuits.
• Experimental measurements of frequency-dependent impedance and voltage dynamics.

Main Results:

• Discovery of pseudospin-dependent localized and delocalized eigenstates in disordered non-Abelian systems.
• Observation of inverse Anderson transitions contingent on the relative phase of internal pseudospins.
• Experimental confirmation of pseudospin-dependent non-Abelian inverse Anderson transitions in topolectrical circuits.

Conclusions:

• The interplay between non-Abelian gauge fields and disorder leads to exotic phenomena with no Abelian analogy.
• This work establishes a link between inverse Anderson transitions and non-Abelian gauge fields.
• Provides novel insights into the fundamental aspects of localization in disordered non-Abelian flat-band systems.