Dimensional reduction by geometrical frustration in a cubic antiferromagnet composed of tetrahedral clusters

Abstract

Dimensionality is a critical factor in determining the properties of solids and is an apparent built-in character of the crystal structure. However, it can be an emergent and tunable property in geometrically frustrated spin systems. Here, we study the spin dynamics of the tetrahedral cluster antiferromagnet, pharmacosiderite, via muon spin resonance and neutron scattering. We find that the spin correlation exhibits a two-dimensional characteristic despite the isotropic connectivity of tetrahedral clusters made of spin 5/2 Fe3+ ions in the three-dimensional cubic crystal, which we ascribe to two-dimensionalisation by geometrical frustration based on spin wave calculations. Moreover, we suggest that even one-dimensionalisation occurs in the decoupled layers, generating low-energy and one-dimensional excitation modes, causing large spin fluctuation in the classical spin system. Pharmacosiderite facilitates studying the emergence of low-dimensionality and manipulating anisotropic responses arising from the dimensionality using an external magnetic field.

22 pages, 22 figures

References in corpus (8)

• Dimensional reduction at a quantum critical point
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Heat conduction in low-dimensional quantum magnets
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Weak ferromagnetic order breaking the threefold rotational symmetry of the underlying kagomé lattice in CdCu${}_3$(OH)${}_6$(NO${}_3$)${}_2\cdot$H${}_2$O
• Possibility of Gapless Spin Liquid State by One-dimensionalization
• Emergent Symmetry and Dimensional Reduction at a Quantum Critical Point
• One-dimensionalization by Geometrical Frustration in the Anisotropic Triangular Lattice of the 5d Quantum Antiferromagnet Ca3ReO5Cl2

Cited by in corpus (4)

• Quantum antiferromagnet bluebellite comprising a maple-leaf lattice made of spin-1/2 Cu${}^{2+}$ ions
• Emergence of spinons in layered trimer iridate Ba4Ir3O10
• Dimensional reduction of Kitaev spin liquid at quantum criticality
• Introduction to High-Temperature Superconductivity for Solid State Chemists