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${}_2$.

10 pages, 7 figures. HFM2006 proceeding paper

References in corpus (7)

• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Orbital order in classical models of transition-metal compounds
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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