This paper presents a theoretical and computational framework for realizing and characterizing the dimer-tetramer liquid phase in three-dimensional decorated lattices with controllable inter-layer coupling. The methodology combines tensor network approaches, quantum Monte Carlo simulations, and effective field theory to map the phase diagram and identify experimental signatures.
Key findings
The dimer-tetramer liquid phase can be extended to three-dimensional architectures with controllable inter-layer coupling.
A layered architecture based on stacked diamond-decorated lattices is introduced, where inter-layer exchange interactions can be systematically tuned.
The research addresses critical gaps in understanding how dimensionality and inter-layer coupling affect macroscopic degeneracy, thermal transport, and quantum critical behavior.
Limitations & open questions
The extension of the DT liquid phase to three-dimensional architectures remains largely unexplored.