The augmented tree tensor network (aTTN) offers accuracy advantages over matrix product states and tree tensor networks for large 2D lattices near quantum critical points, though not for frustrated triangular lattices.
Vidal, Efficient Classical Simulation of Slightly Entangled Quantum Computations
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The Augmented Tree Tensor Network Cookbook
The augmented tree tensor network (aTTN) offers accuracy advantages over matrix product states and tree tensor networks for large 2D lattices near quantum critical points, though not for frustrated triangular lattices.