Rank-2 U(1) Spin Liquid on the Breathing Pyrochlore Lattice.

Area of Science:

• Condensed matter physics
• Quantum magnetism
• Topological phases of matter

Background:

• Higher-rank gauge theories generalize electrodynamics and host exotic fracton excitations.
• Fracton topological order and gravity have theoretical connections to these theories.
• Experimental realization is challenging due to the lack of microscopic models.

Purpose of the Study:

• To propose a materially relevant microscopic model for a higher-rank gauge theory.
• To identify candidate materials for hosting fracton excitations.
• To provide experimental signatures for detecting rank-2 U(1) spin liquids.

Main Methods:

• Theoretical modeling of spin liquids on a breathing pyrochlore lattice.
• Identifying specific Ytterbium (Yb)-based materials as potential candidates.
• Predicting observable experimental consequences of the proposed spin liquid state.

Main Results:

• A spin liquid described by a rank-2 U(1) gauge theory can emerge in magnets on the breathing pyrochlore lattice.
• Yb-based breathing pyrochlores are identified as promising candidate materials.
• Specific experimental predictions are made for detecting this novel quantum state.

Conclusions:

• This work bridges the gap between theoretical higher-rank gauge theories and experimental searches for fracton physics.
• The proposed model and candidate materials pave the way for experimental investigations of fracton topological order.
• The findings could impact fields ranging from quantum computing to fundamental physics.