The successes and limitations of statistical sampling for a sequence of models studied in the
context of lattice QCD are discussed and the need for new methods to deal with finite …

Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

We revisit the corner transfer matrix renormalization group (CTMRG) method of Nishino and
Okunishi for contracting two-dimensional (2D) tensor networks and demonstrate that its …

We introduce an efficient algorithm for reducing bond dimensions in an arbitrary tensor
network without changing its geometry. The method is based on a quantitative …

We present a gauge-invariant effective action for the Abelian-Higgs model (scalar
electrodynamics) with a chemical potential μ on a (1+ 1)-dimensional lattice. This …

We apply the Grassmann tensor renormalization group to the lattice regularized Schwinger
model with one-flavor of the Wilson fermion. We study the phase diagram in the (β, κ) plane …

We propose a different tensor renormalization group algorithm, anisotropic tensor
renormalization group (ATRG), for lattice models in arbitrary dimensions. The proposed …

Frustration is a ubiquitous phenomenon in many-body physics that influences the nature of
the system in a profound way with exotic emergent behavior. Despite its long research …

We have developed a tensor network approach to the two-dimensional fully frustrated
classical XY spin model on the kagome lattice, and clarified the nature of the possible phase …

We simulate the phase diagram and critical behavior of the q-state clock model on the
square lattice by using the state-of-the-art loop optimization for tensor-network …