31 citations · 85 across the 7 of their papers we have counts for
7 papers
A Practical Introduction to Tensor Network Renormalization with TNRKit.jl
Victor Vanthilt, Adwait Naravane, Chenqi Meng +1
We present TNRKit, an open-source Julia package for Tensor Network Renormalization (TNR) of two- and three-dimensional classical statistical models and Euclidean lattice field theo…
Self-congruent point in critical matrix product states: An effective field theory for finite-entanglement scaling
Jan T. Schneider, Atsushi Ueda, Yifan Liu +3
We set up an effective field theory formulation for the renormalization flow of matrix product states (MPS) with finite bond dimension, focusing on systems exhibiting finite-entang…
Fixed-point tensor is a four-point function
Atsushi Ueda, Masahito Yamazaki
Through coarse-graining, tensor network representations of a two-dimensional critical lattice model flow to a universal four-leg tensor, corresponding to a conformal field theory (…
Finite-size and finite bond dimension effects of tensor network renormalization
Atsushi Ueda, Masaki Oshikawa
We propose a general procedure for extracting the running coupling constants of the underlying field theory of a given classical statistical model on a two-dimensional lattice, com…
Gapless symmetry-protected topological phase of quantum antiferromagnets on anisotropic triangular strip
Yuichiro Hidaka, Shunsuke C. Furuya, Atsushi Ueda +1
We study a three-leg spin-1/2 ladder with geometrically frustrated interleg interactions. We call this model an anisotropic triangular-strip (ATS) model. We numerically and field-t…
Tensor Network Renormalization Study on the Crossover in Classical Heisenberg and Models in Two Dimensions
Atsushi Ueda, Masaki Oshikawa
We study the classical two-dimensional and Heisenberg models, using the Tensor-Network Renormalization (TNR) method. The determination of the phase diagram of these…
Resolving the Berezinskii-Kosterlitz-Thouless transition in the 2D XY model with tensor-network based level spectroscopy
Atsushi Ueda, Masaki Oshikawa
Berezinskii-Kosterlitz-Thouless transition of the classical XY model is re-investigated, combining the Tensor Network Renormalization (TNR) and the Level Spectroscopy method based…