Valence bond phases of herbertsmithite and related copper kagome materials

Abstract

Recent evidence from magnetic torque, electron spin resonance, and second harmonic generation indicate that the prototypical quantum spin liquid candidate, herbertsmithite, has a symmetry lower than its x-ray refined trigonal space group. Here, we consider known and possible distortions of this mineral class, along with related copper kagome oxides and fluorides, relate these to possible valence bond patterns, and comment on their relevance to the physics of these interesting materials.

References in corpus (8)

• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
• Symmetry Reduction in the Quantum Kagome Antiferromagnet Herbertsmithite
• Valence-bond crystals in the kagome spin-1/2 Heisenberg antiferromagnet: a symmetry classification and projected wave function study
• Stability of the spin-$1/2$ kagome ground state with breathing anisotropy
• Structural phase transitions in the kagome lattice based materials Cs2-xRbxSnCu3F12 (x = 0, 0.5, 1.0, 1.5)
• Infrared phonons as a probe of a spin-liquid states in herbertsmithite ZnCu3(OH)6Cl2
• Helical order and multiferroicity in the $S=1/2$ quasi-kagome system KCu${}_3$As${}_2$O${}_7$(OD)${}_3$

Cited by in corpus (13)

• Gapped magnetic ground state in quantum-spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$-Cu${}_2$(CN)${}_3$
• Dynamic fingerprint of fractionalized excitations in single-crystalline Cu${}_3$Zn(OH)${}_6$FBr
• Site-Specific Structure at Multiple Length Scales in Kagome Quantum Spin Liquid Candidates
• Controlling frustrated magnetism on the kagome lattice by uniaxial-strain tuning
• Magnetic phase diagram of Cu${}_{4-x}$Zn${}_x$(OH)${}_6$FBr studied by neutron-diffraction and $\mu$SR techniques
• Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons
• Magnetic terahertz resonances above the Néel temperature in the frustrated kagome antiferromagnet averievite
• Magnetic ordering of the distorted kagome antiferromagnet Y${}_3$Cu${}_9$(OH)${}_{18}$[Cl${}_8$(OH)] prepared via optimal synthesis
• Pressure induced collapse of magnetic order in jarosite
• Cascade of phase transitions and large magnetic anisotropy in a triangle-kagome-triangle trilayer antiferromagnet
• Chasing the spin gap through the phase diagram of a frustrated Mott insulator
• Pyrochlore NaYbO2: A potential Quantum Spin Liquid Candidate
• Chemo-Structural Disorder in the kagomé spin $S$ = 1/2 systems ZnCu${}_3$(OH)${}_6$Cl${}_2$ and YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_x$(OH)${}_{1-x}$]