papers

Journal articles and preprints in reverse chronological order.

2026

  1. Interface roughening in the 3-D Ising model with tensor networks
    Atsushi Ueda, Lander Burgelman, Luca Tagliacozzo, and 1 more author
    2026
    Presents the first tensor-network study of interface roughening in the 3D Ising model, showing how finite thickness and boundary conditions produce symmetry breaking, crossover behavior, or an emergent U(1) Luttinger-liquid phase.
  2. Deconfinement from Thermal Tensor Networks: Universal CFT signature in (2+1)-dimensional \mathbbZ_N lattice gauge theory
    Adwait Naravane, Yuto Sugimoto, Shinichiro Akiyama, and 2 more authors
    2026
    Studies finite-temperature deconfinement in (2+1)-dimensional ZN lattice gauge theory with thermal tensor networks, confirming Svetitsky-Yaffe universality and uncovering an intermediate U(1) phase for Z5.
  3. Lowering the temperature of two-dimensional fermionic tensor networks with cluster expansions
    Sander De Meyer, Atsushi Ueda, Yuchi He, and 2 more authors
    2026
    Extends the cluster-expansion approach to 2D fermionic tensor networks, builds PEPO Gibbs states, benchmarks truncation strategies, and resolves a finite-temperature phase boundary in an attractive spinless-fermion model.
  4. A Practical Introduction to Tensor Network Renormalization with TNRKit.jl
    Victor Vanthilt, Adwait Naravane, Chenqi Meng, and 1 more author
    2026
    Introduces TNRKit.jl, a symmetry-aware Julia package and practical guide for tensor network renormalization, from partition-function construction to extracting thermodynamic and conformal data.

2025

  1. Self-congruent point in critical matrix product states: An effective field theory for finite-entanglement scaling
    Jan T. Schneider, Atsushi Ueda, Yifan Liu, and 3 more authors
    SciPost Phys., 2025
    Sets up an effective field theory for finite-entanglement scaling in critical MPS, where finite bond dimension acts as a relevant perturbation and defines a self-congruent RG point.
  2. Chiral edge states emerging on anyon-net
    Atsushi Ueda, Kansei Inamura, and Kantaro Ohmori
    SciPost Phys. Core, 2025
    Constructs lattice models for chiral topological phases with non-Abelian anyons by enforcing exact modular-tensor-category symmetry and demonstrates chiral edge modes with tensor-network simulations.
  3. Finite-size scaling on the torus with periodic projected entangled-pair states
    Gleb Fedorovich, Lukas Devos, Jutho Haegeman, and 3 more authors
    Phys. Rev. B, Apr 2025
    Introduces an efficient contraction and optimization scheme for periodic PEPS on the torus, enabling accurate finite-size energies and critical-property estimates for 2D quantum systems.
  4. Global Tensor Network Renormalization for 2D Quantum systems: A new window to probe universal data from thermal transitions
    Atsushi Ueda, Sander De Meyer, Adwait Naravane, and 2 more authors
    Apr 2025
    Combines a globally optimized tensor network renormalization scheme with finite-temperature tensor constructions to extract accurate CFT data at thermal transitions in 2D quantum systems.
  5. Spiral renormalization group flow and universal entanglement spectrum of the non-Hermitian 5-state Potts model
    Vic Vander Linden, Boris De Vos, Kevin Vervoort, and 2 more authors
    Apr 2025
    Uses tensor networks to simulate a non-Hermitian deformation of the 5-state Potts model, revealing spiral RG flow and the universal boundary spectrum of the associated complex CFT.
  6. Perfect Particle Transmission through Duality Defects
    Atsushi Ueda, Vic Vander Linden, Laurens Lootens, and 3 more authors
    Apr 2025
    Shows that wave packets crossing topological interfaces or duality defects are transmitted perfectly and emerge as string-attached nonlocal excitations, with the defect space encoded by MPO bonds.

2024

  1. Interacting chiral fermions on the lattice with matrix product operator norms
    Jutho Haegeman, Laurens Lootens, Quinten Mortier, and 3 more authors
    Apr 2024
    Builds a lattice formalism for interacting chiral fermions using a semidefinite MPO norm, avoiding fermion doubling while preserving locality, unitarity, and chiral symmetry.
  2. Renormalization group flow and fixed-point in tensor network representations
    Atsushi Ueda
    Apr 2024
    PhD thesis on combining finite-size scaling with tensor network renormalization to extract running couplings and phase boundaries efficiently, and on identifying fixed-point tensors with CFT four-point functions.
  3. Finite-size corrections to the energy spectra of gapless one-dimensional systems in the presence of boundaries
    Yifan Liu, Haruki Shimizu, Atsushi Ueda, and 1 more author
    SciPost Phys., Apr 2024
    Develops a finite-size scaling theory for 1D critical systems with boundaries, including bulk and boundary perturbations, and validates it against Ising and three-state Potts chains.
  4. Tensor network simulations for non-orientable surfaces
    Haruki Shimizu, and Atsushi Ueda
    Apr 2024
    Extends tensor renormalization methods to Klein-bottle and RP2 geometries, enabling efficient calculations of universal free-energy terms and one-point functions on non-orientable surfaces.

2023

  1. Finite-size and finite bond dimension effects of tensor network renormalization
    Atsushi Ueda, and Masaki Oshikawa
    Phys. Rev. B, Jul 2023
    Uses TNR and conformal finite-size scaling to extract running couplings, track RG flows in critical lattice models, and explain finite bond dimension effects as an emergent relevant perturbation.
  2. Fixed-point tensor is a four-point function
    Atsushi Ueda, and Masahito Yamazaki
    Jul 2023
    Shows that the critical fixed-point tensor is a CFT four-point function, making it possible to extract OPE coefficients and the full set of CFT data directly from tensor-network fixed points.

2022

  1. Gapless symmetry-protected topological phase of quantum antiferromagnets on anisotropic triangular strip
    Yuichiro Hidaka, Shunsuke C. Furuya, Atsushi Ueda, and 1 more author
    Phys. Rev. B, Oct 2022
    Shows with DMRG and field theory that the anisotropic triangular-strip ladder realizes a gapless symmetry-protected topological phase, described as a Tomonaga-Luttinger liquid weakly coupled to a Haldane chain.
  2. Tensor network renormalization study on the crossover in classical Heisenberg and \mathrmRP^2 models in two dimensions
    Atsushi Ueda, and Masaki Oshikawa
    Phys. Rev. E, Jul 2022
    Uses tensor network renormalization to clarify the crossover physics of the 2D Heisenberg and RP2 models, arguing for zero-temperature critical fixed points but no finite-temperature critical phase.

2021

  1. Resolving the Berezinskii-Kosterlitz-Thouless transition in the two-dimensional XY model with tensor-network-based level spectroscopy
    Atsushi Ueda, and Masaki Oshikawa
    Phys. Rev. B, Oct 2021
    Combines tensor network renormalization with level spectroscopy to pinpoint the BKT transition in the 2D XY model more accurately and to visualize the underlying RG flow.