We review recent experimental and theoretical progress on ultracold alkaline-earth Fermi
gases with emergent SU (N) symmetry. Emphasis is placed on describing the ground …

We present a scheme to perform an iterative variational optimization with infinite projected
entangled-pair states, a tensor network ansatz for a two-dimensional wave function in the …

We present a conjugate-gradient method for the ground-state optimization of projected
entangled-pair states (PEPS) in the thermodynamic limit, as a direct implementation of the …

Symmetries play a crucial role in understanding phases of matter and the transitions
between them. Theoretical investigations of quantum models with SU (N) symmetry have …

We simulate the Shastry-Sutherland model in two dimensions by means of infinite projected
entangled-pair states (iPEPS)—a variational tensor network method where the accuracy can …

Spin liquid crystals are magnetic analogs of liquid crystals, possessing properties of both
liquids and solids, a typical example of which are spin nematics. Spin nematics share many …

We study the competition between stripe states with different periods and a uniform d-wave
superconducting state in the extended two-dimensional Hubbard model at 1/8 hole doping …

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 …

We study the ground state properties of the hole-doped three-band Hubbard (Emery) model,
describing the copper-oxygen planes of the cuprates, using large-scale two-dimensional …

Multipolar spin systems provide a rich ground for the emergence of unexpected states of
matter due to their enlarged spin degree of freedom. In this study, with a specific emphasis …