Quantum Phase Transition in the SU(4) Spin-Orbital Model on the Triangular Lattice

Abstract

Motivated by the absence of cooperative Jahn-Teller effect in LiNiO2 and BaVS3, two layered oxides with triangular planes, we study the SU(4) symmetric spin-orbital model on the triangular lattice. Upon reducing the next-nearest neighbour coupling, we show that the system undergoes a quantum phase transition to a liquid phase. A variational approach to this liquid phase shows that simple types of long-range correlations are suppressed, suggesting that it is stable against lattice distortions.

5 pages, 5 figures, RevTex4

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• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
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• Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model
• Valley Order and Loop Currents in Graphene on Hexagonal Boron Nitride
• Reconstruction of classical skyrmions from Anderson towers: quantum Darwinism in action
• Twisting the Dirac cones of the SU(4) spin-orbital liquid on the honeycomb lattice
• The emergence of Resonating Valence Bond physics in spin-orbital models
• Interplay of electronic correlations and lattice instabilities in BaVS3
• Geometric approach to Lieb-Schultz-Mattis theorem without translation symmetry under inversion or rotation symmetry
• Exact solution of an su(n) spin torus
• Tunable exciton valley-pseudospin orders in moiré Bose-Hubbard model
• Designing Quantum Spin-Orbital Liquids in Artificial Mott Insulators
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• Quantum phases of collective SU(3) spin systems with bipartite symmetry
• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients