The emergence of Resonating Valence Bond physics in spin-orbital models

Abstract

We discuss how orbital degeneracy, which is usually removed by a cooperative Jahn-Teller distortion, could under appropriate circumstances lead rather to a Resonating Valence Bond spin-orbital liquid. The key points are: i) The tendency to form spin-orbital dimers, a tendency already identified in several cases; ii) The mapping onto Quantum Dimer Models, which have been shown to possess Resonating Valence Bond phases on the triangular lattice. How this program can be implemented is explained in some details starting from a microscopic model of LiNiO${}_2$.

arXiv comment10 pages, 7 figures. HFM2006 proceeding paper

References in corpus (30)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• An RVB phase in the triangular lattice quantum dimer model
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Quantum Melting of Magnetic Order due to Orbital Fluctuations
• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Spin and orbital frustration in MnSc_2S_4 and FeSc_2S_4
• Protected Qubits and Chern Simons theories in Josephson Junction Arrays
• Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
• Alternating Spin and Orbital Dimerization in Strong-coupling Two-band Models
• The Quantum Compass Model on the Square Lattice
• RVB description of the low-energy singlets of the spin 1/2 kagome antiferromagnet
• Non-Haldane Spin Liquid Models with Exact Ground States
• Orbital degeneracy as a source of frustration in LiNiO${}_2$
• Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice
• Orbital order in classical models of transition-metal compounds
• Directional Ordering of Fluctuations in a Two-dimensional Compass Model
• Orbital and spin physics in LiNiO2 and NaNiO2
• Hidden long range order in Heisenberg Kagome antiferromagnets
• Orbitally Driven Spin Pairing in the 3D Non-Magnetic Mott Insulator BaVS3: Evidence from Single Crystal Studies
• Quantum Phase Transition in the SU(4) Spin-Orbital Model on the Triangular Lattice
• Orbital ordering in charge transfer insulators
• Ordering and Spin Waves in NaNiO2 : A Stacked Quantum Ferromagnet
• Dynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations
• Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms
• Effective quantum dimer model for trimerized kagome antiferromagnet
• Planar spin exchange in LiNiO_2
• Freezing and large time scales induced by geometrical frustration

Cited by in corpus (11)

• Quantum Spin Liquids
• Frustration and entanglement in the $t_{2g}$ spin--orbital model on a triangular lattice: valence--bond and generalized liquid states
• Absence of Jahn-Teller transition in the hexagonal Ba3CuSb2O9 single crystal
• Spin-orbital resonating valence bond liquid on a triangular lattice: Evidence from finite-cluster diagonalization
• Entangled spin-orbital phases in the bilayer Kugel-Khomskii model
• Multicolored quantum dimer models, resonating valence-bond states, color visons, and the triangular-lattice t_2g spin-orbital system
• Orbitally relieved magnetic frustration in NaVO2
• Quantum paramagnet in a $\pi$ flux triangular lattice Hubbard model
• Phase diagram of the Cairo pentagonal XXZ spin-1/2 magnet under a magnetic field
• Valence Bond Crystal and possible orbital pinball liquid in a t2g model
• Resonating Valence-Bond State in an Orbitally Degenerate Quantum Magnet with Dynamical Jahn-Teller Effect