The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

A wide range of materials, like d-wave superconductors, graphene, and topological
insulators, share a fundamental similarity: their low-energy fermionic excitations behave as …

A remarkable recent experiment has observed Mott insulator and proximate superconductor
phases in twisted bilayer graphene when electrons partly fill a nearly flat miniband that …

Chiral superconductivity is a striking quantum phenomenon in which an unconventional
superconductor spontaneously develops an angular momentum and lowers its free energy …

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 …

The infinite projected entangled pair states (iPEPS) algorithm [J. Jordan, Phys. Rev. Lett.
101, 250602 (2008) PRLTAO 0031-9007 10.1103/PhysRevLett. 101.250602] has become a …

A highly unconventional superconducting state with a spin-singlet $ d_ {x^ 2-y^ 2}\pm {\rm i}
d_ {xy} $-wave, or chiral d-wave symmetry has recently been suggested to emerge from …

We introduce a tensor renormalization group scheme for coarse graining a two-dimensional
tensor network that can be successfully applied to both classical and quantum systems on …

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 …