Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice

Abstract

Determining ground states of correlated electron systems is fundamental to understanding novel phenomena in condensed matter physics. A difficulty, however, arises in a geometrically frustrated system in which the incompatibility between the global topology of an underlying lattice and local spin interactions gives rise to macroscopically degenerate ground states, potentially prompting the emergence of quantum spin states, such as resonating valence bond (RVB) and valence bond solid (VBS). Although theoretically proposed to exist in a kagome lattice -- one of the most highly frustrated lattices in two dimensions (2D) being comprised of corner-sharing triangles -- such quantum-fluctuation-induced states have not been observed experimentally. Here we report the first realization of the "pinwheel" VBS ground state in the S=1/2 deformed kagome lattice antiferromagnet Rb2Cu3SnF12. In this system, a lattice distortion breaks the translational symmetry of the ideal kagome lattice and stabilizes the VBS state.

arXiv comment10 pages, 4 figures and Supplemental Information

References in corpus (21)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Quantum criticality and universal scaling of a quantum antiferromagnet
• Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Dirac, Anderson, and Goldstone on the Kagome
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Quantum spin liquid states in the two dimensional kagome antiferromagnets, ZnxCu4-x(OD)6Cl2
• Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
• Phase Diagram and Spin Dynamics in Volborthite with a Distorted Kagome Lattice
• Ground state of the Kagome-like S=1/2 antiferromagnet, Volborthite Cu3V2O7(OH)2.2H2O
• Hidden long range order in Heisenberg Kagome antiferromagnets
• Singlet Ground State and Spin Gap in S=1/2 Kagome Antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Magnetic susceptibilities in a family of S=1/2 Kagome antiferromagnet
• Quantum Statistics of Interacting Dimer Spin Systems
• Spin Triplet Excitations for a Valence Bond Solid on the Kagome Lattice
• Valence Bond Solid Phases on Deformed Kagome Lattices: Application to Rb2Cu3SnF12

Cited by in corpus (64)

• Herbertsmithite and the Search for the Quantum Spin Liquid
• Evidence for a Gapped Spin-Liquid Ground State in a Kagome Heisenberg Antiferromagnet
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Possible valence-bond condensation in the frustrated cluster magnet LiZn2Mo3O8
• Hall effect of triplons in a dimerized quantum magnet
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Barlowite: A Spin-1/2 Antiferromagnet with a Geometrically Perfect Kagome Motif
• Ferromagnetism and Wigner crystallization in Kagome graphene and related structures
• Vison states and confinement transitions of Z2 spin liquids on the kagome lattice
• Nearest-neighbor resonating valence bonds in YbMgGaO4
• Carbon Kagome lattice and orbital frustration-induced metal-insulator transition for optoelectronics
• Dzyaloshinskii-Moriya interaction and spin re-orientation transition in the frustrated kagome lattice antiferromagnet
• Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_x$(OH)${}_{1-x}$]
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite
• Emergence of spin singlets with inhomogeneous gaps in the kagome Heisenberg antiferromagnets Zn-barlowite and herbertsmithite
• Materializing Rival Ground States in the Barlowite Family of Kagome Magnets: Quantum Spin Liquid, Spin Ordered, and Valence Bond Crystal States
• Double Kagome bands in a two-dimensional phosphorus carbide P2C3
• Frustrated Spin One On A Diamond Lattice
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Pinch-points to half-moons and up in the stars: the kagome skymap
• Spin-1/2 Heisenberg antiferromagnet on an anisotropic kagome lattice
• Kagome-Triangular Lattice Antiferromagnet NaBa2Mn3F11
• Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice
• Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
• Large Negative Quantum Renormalization of Excitation Energies in the Spin-1/2 Kagome Lattice Antiferromagnet Cs${}_2$Cu${}_3$SnF${}_{12}$
• Spin-Peierls instability of the U(1) Dirac spin liquid
• Strong quantum effects in an almost classical antiferromagnet on a kagome lattice
• PbCu3TeO7: An S=1/2 staircase Kagome lattice with significant intra- and inter-plane couplings
• From kagome strip to kagome lattice: Realizations of frustrated S=1/2 antiferromagnets in Ti(III) fluorides
• Magnetic structure and high-field magnetization of the distorted kagome lattice antiferromagnet Cs${}_2$Cu${}_3$SnF${}_{12}$
• ${\mathbb{Z}}_2$ gauge theory for valence bond solids on the kagome lattice
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Controlling frustrated magnetism on the kagome lattice by uniaxial-strain tuning
• Molecular spin-liquid state in spin-3/2 frustrated spinel HgCr${}_2$O${}_4$
• Tripartite entangled plaquette state in a cluster magnet
• Valence bond solid and possible deconfined quantum criticality in an extended kagome lattice Heisenberg antiferromagnet
• High-Temperature Series Expansion for Spin-1/2 Heisenberg Models
• Magnetic Properties of the Spin-1/2 Deformed Kagome Antiferromagnet Edwardsite
• Structures of magnetic excitations in the spin-1/2 kagome-lattice antiferromagnets Cs${}_2$Cu${}_3$SnF${}_{12}$ and Rb${}_2$Cu${}_3$SnF${}_{12}$
• Structural phase transitions in the kagome lattice based materials Cs2-xRbxSnCu3F12 (x = 0, 0.5, 1.0, 1.5)
• Valence bond phases of herbertsmithite and related copper kagome materials
• Ghost modes and continuum scattering in the dimerized distorted kagome lattice antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Magnetic terahertz resonances above the Néel temperature in the frustrated kagome antiferromagnet averievite
• Magnetic properties and magnetic structure of the frustrated quasi-one-dimensional antiferromagnet SrCuTe${}_2$O${}_6$
• Microscopic properties of the "pinwheel" kagome compound Rb_2Cu_3SnF_{12}
• Re-entrant Structural Phase Transition in a Frustrated Kagome Magnet, Rb2SnCu3F12
• Controlling the stoichiometry of the triangular lattice antiferromagnet Li${}_{1+x}$Zn${}_{2-y}$Mo${}_3$O${}_8$
• Pressure induced collapse of magnetic order in jarosite
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Nematic quantum phases in the bilayer honeycomb antiferromagnet
• Magnons in a two dimensional transverse field XXZ model
• Signatures of spin-triplet excitations in optical conductivity of valence bond solids
• Frustrated magnets and quantum paramagnetic phases at finite temperature
• Breakdown of Linear Spin-wave Theory and Existence of Spinon Bound States in the Frustrated Kagome Lattice Antiferromagnet
• Spin dynamics and 1/3 magnetization plateau in a coupled distorted diamond chain compound K2Cu3(MoO4)4
• Ferromagnetism induced in anisotropic stacked kagome-lattice antiferromagnet Cs${}_2$Cu${}_3$CeF${}_{12}$
• Magnetic properties and field-induced phenomena in the Jeff = 1/2 distorted kagome antiferromagnet
• Crystal chemistry criteria of the existence of spin liquids on the kagome lattice
• Effects of exchange distortions in the magnetic Kagome lattice
• Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model
• Effects of bond-randomness and Dzyaloshinskii-Moriya interactions on the specific heat at low temperatures of a spherical kagomé cluster in {W${}_{72}$V${}_{30}$}
• Stabilizing Itinerant Electrons in a Corner-Sharing Kagomé Oxide Nd4Os3ZnO14
• The algebraic spin liquid in the SU(6) Heisenberg model on the kagome lattice