We introduce exactly solvable gapless quantum systems in d dimensions that support
symmetry-protected topological (SPT) edge modes. Our construction leads to long-range …

Infinite projected entangled pair states (iPEPS) have emerged as a powerful tool for studying
interacting two-dimensional fermionic systems. In this review, we discuss the iPEPS …

Quantum loop and dimer models are prototypical correlated systems with local constraints,
which are not only intimately connected to lattice gauge theories and topological orders but …

Spin-S Heisenberg quantum antiferromagnets on the kagome lattice offer, when placed in a
magnetic field, a fantastic playground to observe exotic phases of matter with (magnetic …

A classification of SU (2)-invariant projected entangled paired states (PEPS) on the square
lattice, based on a unique site tensor, has been recently introduced by Mambrini et al.[M …

Quantum phase transitions between different topologically ordered phases exhibit rich
structures and are generically challenging to study in microscopic lattice models. In this …

We introduce a model of three-dimensional (3D) topological order enriched by planar
subsystem symmetries. The model is constructed starting from the 3D toric code, whose …

We elaborate a simple classification scheme of all rank-5 SU (2) spin rotational symmetric
tensors according to (i) the onsite physical spin S,(ii) the local Hilbert space V⊗ 4 of the four …

Quantum loop and dimer models are prototypical correlated systems with local constraints,
whose generic solutions for different lattice geometries and parameter regimes are still …

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on
the kagome lattice using exact diagonalization and the density matrix renormalization group …