Emergence of a 2d macro-spin liquid in a highly frustrated 3d quantum magnet

TL;DR

This paper explores how quantum fluctuations induce a 2D macro-spin liquid state in a highly frustrated 3D quantum magnet, revealing dimensional reduction and quantum criticality phenomena.

Contribution

It demonstrates the emergence of a 2D macro-spin liquid in a 3D quantum magnet due to quantum fluctuations and frustration effects.

Findings

Disordered spin liquid ground states in classical model

Quantum fluctuations induce macro-spin liquid state

Quantum criticality exhibits 2D quantum system behavior

Abstract

The classical Ising model on the frustrated 3d swedenborgite lattice has disordered spin liquid ground states for all ratios of inter- and intra-planar couplings. Quantum fluctuations due to a transverse field give rise to several exotic quantum phenomena. In the limit of weakly coupled Kagom\'e layers we find a 3d version of disorder by disorder. For large out-of-plane couplings 1d macro-spins are formed which realize a disordered macro-spin liquid on an emerging triangular lattice. Signatures of this dimensional reduction are also found in critical exponents of the quantum phase transition out of the fully polarized phase into the macro-spin liquid displaying quantum criticality typical for 2d quantum systems.