Topologically invariant tensor renormalization group method for the Edwards-Anderson spin glasses model

C Wang, SM Qin, HJ Zhou - Physical Review B, 2014 - APS
Tensor renormalization group (TRG) method is a real space renormalization group
approach. It has been successfully applied to both classical and quantum systems. In this …

Lecture notes of tensor network contractions

SJ Ran, E Tirrito, C Peng, X Chen… - arXiv preprint arXiv …, 2017 - arxiv.org
Tensor network (TN), a young mathematical tool of high vitality and great potential, has been
undergoing extremely rapid developments in the last two decades, gaining tremendous …

Entanglement Entropy on the Boundary of the Square-Lattice ±J Ising Model

Y Sasagawa, H Ueda, J Genzor, A Gendiar… - Journal of the Physical …, 2020 - journals.jps.jp
The entanglement entropy S is calculated on the system boundary of the square-lattice±J
Ising model by the time-evolving block decimation (TEBD) method. The random average〈 …

Investigations of topological phases for quasi-1D systems

E Tirrito - 2020 - upcommons.upc.edu
For a long time, quantum states of matter have been successfully characterized by the
Ginzburg-Landau formalism that was able to classify all different types of phase transitions …

Entanglement Entropy of the Two-Dimensional+-J Ising Model on the Nishimori Line

Y Sasagawa, H Ueda, J Genzor, A Gendiar… - arXiv preprint arXiv …, 2017 - arxiv.org
A classical analogue of the entanglement entropy is calculated on the system boundary of
the two-dimensional Edwards-Anderson model, where the nearest-neighbor interaction is …

Topological invariant tensor renormalization group method for spin glasses

C Wang, SM Qin, HJ Zhou - arXiv preprint arXiv:1311.6577, 2013 - arxiv.org
Tensor renormalization group method (TRG) is a real space renormalization group
approach. It has been successfully applied to both classical and quantum systems. In this …

テンソルネットワーク法を用いたbond-dilution 系に対する有限温度相図

山本卓矢, 藤堂眞治 - 日本物理学会講演概要集75.1, 2020 - jstage.jst.go.jp
古典スピン系の分配関数はテンソルネットワークによって表現できる. 格子間をテンソルでつなぎ,
縮約を取ることで, 求めたい物理量を得ることができる. そのままの形では, 縮約を取るのに膨大な …

[引用][C] Numerical Studies of Quantum Lattice Systems with the Tensor Renormalization Group

R Bamler - 2011 - Ludwig-Maximilians-University of …