Quantum Phase Transition in the SU(4) Spin-Orbital Model on the Triangular Lattice
Karlo Penc, Matthieu Mambrini, Patrik Fazekas, Frederic Mila

TL;DR
This paper investigates a quantum phase transition in an SU(4) spin-orbital model on a triangular lattice, revealing a transition to a stable liquid phase with suppressed long-range correlations, relevant to layered oxides like LiNiO2 and BaVS3.
Contribution
It demonstrates a quantum phase transition driven by next-nearest neighbour coupling and characterizes the resulting liquid phase as stable and lacking long-range order.
Findings
Transition to a liquid phase upon reducing next-nearest neighbour coupling
Liquid phase exhibits suppressed long-range correlations
Phase transition is relevant to layered oxides without Jahn-Teller effect
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.
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