The newly discovered high-T c nickelate superconductor La 3 Ni 2 O 7 has generated
significant research interest. To uncover the pairing mechanism, it is essential to investigate …

In these lecture notes we give a technical overview of tangent-space methods for matrix
product states in the thermodynamic limit. We introduce the manifold of uniform matrix …

An infinite projected entangled pair state (iPEPS) is a tensor network ansatz to represent a
quantum state on an infinite 2D lattice whose accuracy is controlled by the bond dimension …

Doubts have been raised on the representation of chiral spin liquids exhibiting topological
order in terms of projected entangled pair states (PEPSs). Here, starting from a simple spin …

The recent progress in the optimization of two-dimensional tensor networks [H.-J. Liao, J.-G.
Liu, L. Wang, and T. **ang, Phys. Rev. X 9, 031041 (2019)] based on automatic …

We show how to accurately study two-dimensional quantum critical phenomena using
infinite projected entangled-pair states (iPEPS). We identify the presence of a finite …

The simple update (SU) and full update (FU) are the two paradigmatic time evolution
algorithms for a tensor network known as the infinite projected entangled pair state (iPEPS) …

It is an open question how well tensor network states in the form of an infinite projected
entangled-pair states (iPEPS) tensor network can approximate gapless quantum states of …

Time evolution of an infinite two-dimensional (2D) many body quantum lattice system can be
described by the Suzuki-Trotter decomposition applied to the infinite projected entangled …

We provide evidence that the spectrum of the local effective Hamiltonian and the transfer
operator in infinite-system matrix product state simulations are identical up to a global …