294 citations · 3.8k across the 106 of their papers we have counts for
41 papers · 1 filter
Nuclear norm regularized loop optimization for tensor network
Kenji Homma, Tsuyoshi Okubo, Naoki Kawashima
We propose a loop optimization algorithm based on nuclear norm regularization for tensor network. The key ingredient of this scheme is to introduce a rank penalty term proposed in…
Ashkin-Teller phase transition and multicritical behavior in a classical monomer-dimer model
Satoshi Morita, Hyun-Yong Lee, Kedar Damle +1
We use Monte Carlo simulations and tensor network methods to study a classical monomer-dimer model on the square lattice with a hole (monomer) fugacity , an aligning dimer-dimer…
Possibility of a Topological Phase Transition in Two-dimensional Model
Tsuyoshi Okubo, Naoki Kawashima
We study by large-scale Monte Carlo simulation the model, which can be regarded as an effective low-energy model of a triangular lattice Heisenberg antiferromagnet. vo…
Non-monotonic behavior of the Binder Parameter in the discrete spin systems
Hiroshi Watanabe, Yuichi Motoyama, Satoshi Morita +1
We study a non-monotonic behavior of the Binder parameter, which appears in the discrete spin systems. We show that the Binder parameters of the Potts model are non-monotonic for $…
Scaling dimensions from linearized tensor renormalization group transformations
Xinliang Lyu, RuQing G. Xu, Naoki Kawashima
We show a way to perform the canonical renormalization group (RG) prescription in tensor space: write down the tensor RG equation, linearize it around a fixed-point tensor, and dia…
Global optimization of tensor renormalization group using the corner transfer matrix
Satoshi Morita, Naoki Kawashima
A tensor network renormalization algorithm with global optimization based on the corner transfer matrix is proposed. Since the environment is updated by the corner transfer matrix…
Boundary conformal spectrum and surface critical behaviors of the classical spin systems: a tensor network renormalization study
Shumpei Iino, Satoshi Morita, Naoki Kawashima
We numerically obtain the conformal spectrum of several classical spin models on a two-dimensional lattice with open boundaries, for every boundary fixed point obtained by the Card…
Boundary Tensor Renormalization Group
Shumpei Iino, Satoshi Morita, Naoki Kawashima
We develop the tensor renormalization group (TRG) algorithm for statistical systems with open boundaries, which allows us to investigate not only the bulk but also the boundary pro…
Entropy Governed by the Absorbing State of Directed Percolation
Kenji Harada, Naoki Kawashima
We investigate the informational aspect of (1+1)-dimensional directed percolation, a canonical model of a nonequilibrium continuous transition to a phase dominated by a single spec…
Fast algorithm for generating random bit strings and multispin coding for directed percolation
Hiroshi Watanabe, Satoshi Morita, Synge Todo +1
We present efficient algorithms to generate a bit string in which each bit is set with arbitrary probability. By adopting a hybrid algorithm, i.e., a finite-bit density approximati…
Calculation of higher-order moments by higher-order tensor renormalization group
Satoshi Morita, Naoki Kawashima
A calculation method for higher-order moments of physical quantities, including magnetization and energy, based on the higher-order tensor renormalization group is proposed. The ph…
Detecting signals of weakly first-order phase transitions in two-dimensional Potts models
Shumpei Iino, Satoshi Morita, Anders W. Sandvik +1
We investigate the first-order phase transitions of the -state Potts models with , and on the two-dimensional square lattice, using Monte Carlo simulations. At…
Tensor Renormalization Group with Randomized Singular Value Decomposition
Satoshi Morita, Ryo Igarashi, Hui-Hai Zhao +1
An algorithm of the tensor renormalization group is proposed based on a randomized algorithm for singular value decomposition. Our algorithm is applicable to a broad range of two-d…
Thermal Phase Transition of Generalized Heisenberg Models for SU(N) Spins on Square and Honeycomb Lattices
Takafumi Suzuki, Kenji Harada, Haruhiko Matsuo +2
We investigate thermal phase transitions to a valence-bond solid phase in SU(N) Heisenberg models with four- or six-body interactions on a square or honeycomb lattice, respectively…
A Scaling Relation for Dangerously Irrelevant Symmetry-Breaking Fields
Tsuyoshi Okubo, Kosei Oshikawa, Hiroshi Watanabe +1
We propose a scaling relation for critical phenomena in which a symmetry-breaking field is dengerously irrelevant. We confirm its validity on the 6-state clock model in three and f…
Phase Transitions with Discrete Symmetry Breaking in Antiferromagnetic Heisenberg Models on a Triangular Lattice
Ryo Tamura, Shu Tanaka, Naoki Kawashima
We study phase transition behavior of the Heisenberg model on a distorted triangular lattice with competing interactions. The ground-state phase diagram indicates that underlying s…
Parallelized Quantum Monte Carlo Algorithm with Nonlocal Worm Updates
Akiko Masaki-Kato, Takafumi Suzuki, Kenji Harada +2
Based on the worm algorithm in the path-integral representation, we propose a general quantum Monte Carlo algorithm suitable for parallelizing on a distributed-memory computer by d…
Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions
Ryo Tamura, Shu Tanaka, Naoki Kawashima
We discover an example where the dissociation of the Z2 vortices occurs at the second-order phase transition point. We investigate the nature of phase transition in a classical Hei…
A Method to Control Order of Phase Transition: Invisible States in Discrete Spin Models
Ryo Tamura, Shu Tanaka, Naoki Kawashima
It is an important topic to investigate nature of the phase transition in wide area of science such as statistical physics, materials science, and computational science. Recently i…
First-Order Phase Transition with Breaking of Lattice Rotation Symmetry in Continuous-Spin Model on Triangular Lattice
Ryo Tamura, Naoki Kawashima
Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane an…
Double- Order in a Frustrated Random Spin System
Ryo Tamura, Naoki Kawashima
We use the three-dimensional Heisenberg model with site randomness as an effective model of the compound Sr(FeMn)O. The model consists of two types of ions that cor…
Phase Transition of Generalized Ferromagnetic Potts Model - Effect of Invisible States -
Shu Tanaka, Ryo Tamura, Naoki Kawashima
We investigate the nature of the phase transition of the ferromagnetic Potts model with invisible states. The ferromagnetic Potts model with invisible states can be regarded as str…
Phase Transition in Potts Model with Invisible States
Ryo Tamura, Shu Tanaka, Naoki Kawashima
We study phase transition in the ferromagnetic Potts model with invisible states that are added as redundant states by mean-field calculation and Monte Carlo simulation. Invisible…
Finite-Size Scaling for Quantum Criticality above the Upper Critical Dimension: Superfluid-Mott-Insulator Transition in Three Dimensions
Yasuyuki Kato, Naoki Kawashima
Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is . We consider…