Valence Bond Solid Phases on Deformed Kagome Lattices: Application to Rb2Cu3SnF12

Abstract

Motivated by a recent experiment on Rb2Cu3SnF12, where spin-1/2 Cu2+ moments reside on the layers of Kagome-like lattices, we investigate quantum ground states of the antiferromagnetic Heisenberg model on a series of deformed Kagome lattices. The deformation is characterized by a weaker exchange coupling (alpha*J) on certain lattice links appropriate for Rb2Cu3SnF12 with alpha=1 corresponding to the ideal Kagome lattice. In particular, we study possible valence bond solid phases using the perturbation theory around isolated dimer limits, dimer series expansion, and self-consistent bond operator mean field theory. It is shown that the valence bond solid phase with a 36-site unit cell of the ideal Kagome lattice is quite sensitive to a small lattice distortion as the kind discovered in Rb2Cu3SnF12. As a result, we find that a more likely quantum ground state in Rb2Cu3SnF12 is the valence bond solid phase with a 12-site unit cell, where six dimers form a pinwheel structure, leading to strong modification of the elementary triplet and singlet excitation spectra in the deformed Kagome lattices.

8 pages, 7 figures

References in corpus (17)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Band touching from real space topology in frustrated hopping models
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Vesignieite BaCu3V2O8(OH)2 as a Candidate Spin-1/2 Kagome Antiferromagnet
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
• Singlet Ground State and Spin Gap in S=1/2 Kagome Antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Detecting spontaneous symmetry breaking in finite-size spectra of frustrated quantum antiferromagnets
• Quantum and Classical Spins on the Spatially Distorted Kagome Lattice: Applications to Volborthite
• Spin Triplet Excitations for a Valence Bond Solid on the Kagome Lattice
• Theory of Néel and Valence-Bond-Solid Phases on the Kagome Lattice of Zn-paratacamite
• S=1/2 Kagome antiferromagnets Cs${}_2$Cu${}_{3}MF$_{12}$ with M=Zr and Hf

Cited by in corpus (10)

• Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
• Vison states and confinement transitions of Z2 spin liquids on the kagome lattice
• Generalized Hardcore Dimer Models approach to low-energy Heisenberg frustrated antiferromagnets: general properties and application to the kagome antiferromagnet
• Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice
• ${\mathbb{Z}}_2$ gauge theory for valence bond solids on the kagome lattice
• Structures of magnetic excitations in the spin-1/2 kagome-lattice antiferromagnets Cs${}_2$Cu${}_3$SnF${}_{12}$ and Rb${}_2$Cu${}_3$SnF${}_{12}$
• Valence bond phases of herbertsmithite and related copper kagome materials
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Microscopic properties of the "pinwheel" kagome compound Rb_2Cu_3SnF_{12}
• Signatures of spin-triplet excitations in optical conductivity of valence bond solids