190 citations · 631 across the 41 of their papers we have counts for
21 papers · 1 filter
Quantum Phase Transition in Fully-Connected Quantum Wajnflasz-Pick Model
Yuya Seki, Shu Tanaka, Shiro Kawabata
We construct a quantum Wajnflasz-Pick model that is a generalized quantum Ising model, and investigate a nature of quantum phase transitions of the model with infinite-range intera…
Topological and dynamical properties of a generalized cluster model in one dimension
Takumi Ohta, Shu Tanaka, Ippei Danshita +1
We study the ground-state phase diagram and dynamics of the one-dimensional cluster model with several competing interactions. Paying particular attention to the relation between t…
Phase diagram and sweep dynamics of a one-dimensional generalized cluster model
Takumi Ohta, Shu Tanaka, Ippei Danshita +1
We numerically study quantum phase transitions and dynamical properties in the one-dimensional cluster model with several interactions by using the time-evolving block decimation m…
A Method to Change Phase Transition Nature -- Toward Annealing Method --
Ryo Tamura, Shu Tanaka
In this paper, we review a way to change nature of phase transition with annealing methods in mind. Annealing methods are regarded as a general technique to solve optimization prob…
Interlayer-Interaction Dependence of Latent Heat in the Heisenberg Model on a Stacked Triangular Lattice with Competing Interactions
Ryo Tamura, Shu Tanaka
We study the phase transition behavior of a frustrated Heisenberg model on a stacked triangular lattice by Monte Carlo simulations. The model has three types of interactions: the 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…
A useful way to obtain the central charge of entanglement Hamiltonian -- Nested entanglement entropy
Shu Tanaka
In this paper, we review how to obtain the central charge of a critical entanglement Hamiltonian through the nested entanglement entropy which was first introduced in [J. Lou et al…
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…
Entanglement Spectra of the quantum hard-square model: Holographic minimal models
Shu Tanaka, Ryo Tamura, Hosho Katsura
We study the entanglement properties of a quantum lattice-gas model for which we can find the exact ground state (of the Rokhsar-Kivelson type). The ground state can be expressed a…
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…
Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice
Shu Tanaka, Ryo Tamura
To investigate the network-growth rule dependence of certain geometric aspects of percolation clusters, we propose a generalized network-growth rule introducing a generalized param…
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…
Dynamical properties of Potts model with invisible states
Shu Tanaka, Ryo Tamura
We study dynamic behavior of Potts model with invisible states near the first-order phase transition temperature. We focus on melting process starting from the perfect ordered stat…
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…
Non-monotonic Dynamics in Frustrated Ising Model with Time-Dependent Transverse Field
Shu Tanaka, Seiji Miyashita
We study how the degree of ordering depends on the strength of the thermal and quantum fluctuations in frustrated systems by investigating the correlation function of the order par…
Quantum Field Induced Orderings in Fully Frustrated Ising Spin Systems
Shu Tanaka, Masaki Hirano, Seiji Miyashita
We study ordering mechanisms which are induced by the quantum fluctuation in fully frustrated Ising spin systems. Since there are many degenerated states in frustrated systems, "or…
Quantum response to time-dependent external fields
Seiji Miyashita, Shu Tanaka, Hans De Raedt +1
Recently, explicit real time dynamics has been studied in various systems. These quantum mechanical dynamics could provide new recipes in information processing. We study quantum d…
Mechanism of Slow Relaxation due to Screening Effect in a Frustrated System
Shu Tanaka, Seiji Miyashita
We study a slow relaxation process in a frustrated spin system in which a type of screening effect due to a frustrated environment plays an important role. This screening effect is…
Slow Relaxation of Spin Structure in Exotic Ferromagnetic Phase of Ising-like Heisenberg Kagome Antiferromagnets
Shu Tanaka, Seiji Miyashita
In the corner-sharing lattice, magnetic frustration causes macroscopic degeneracy in the ground state, which prevents systems from ordering. However, if the ensemble of the degener…
Non-monotonic Relaxation in Systems with Reentrant Type Interaction
Seiji Miyashita, Shu Tanaka, Masaki Hirano
Recently, interesting non-monotonic time evolution has been pointed out in the experiments by Jönsson, {\it et al.} and Jonsson {\it et.al.} and also in the numerical simulation by…
Slow Relaxation Process in Ising like Heisenberg Kagome Antiferromagnets due to Macroscopic Degeneracy in the Ordered State
Shu Tanaka, Seiji Miyashita
We study relaxation phenomena in the ferromagnetically ordered state of the Ising-like Heisenberg kagome antiferromagnets. We introduce the "weathervane loop" in order to character…