Tensor networks for complex quantum systems

R Orús - Nature Reviews Physics, 2019 - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

Orbital-selective superconductivity in the pressurized bilayer nickelate : An infinite projected entangled-pair state study

J Chen, F Yang, W Li - Physical Review B, 2024 - APS
The newly discovered high-T c nickelate superconductor La 3 Ni 2 O 7 has generated
significant research interest. To uncover the pairing mechanism, it is essential to investigate …

A simple tensor network algorithm for two-dimensional steady states

A Kshetrimayum, H Weimer, R Orús - Nature communications, 2017 - nature.com
Understanding dissipation in 2D quantum many-body systems is an open challenge which
has proven remarkably difficult. Here we show how numerical simulations for this problem …

Tangent space approach for thermal tensor network simulations of the 2D Hubbard model

Q Li, Y Gao, YY He, Y Qi, BB Chen, W Li - Physical Review Letters, 2023 - APS
Accurate simulations of the two-dimensional (2D) Hubbard model constitute one of the most
challenging problems in condensed matter and quantum physics. Here we develop a …

Time evolution of an infinite projected entangled pair state: An efficient algorithm

P Czarnik, J Dziarmaga, P Corboz - Physical Review B, 2019 - APS
An infinite projected entangled pair state (iPEPS) is a tensor network ansatz to represent a
quantum state on an infinite 2D lattice whose accuracy is controlled by the bond dimension …

Fermionic tensor network methods

Q Mortier, L Devos, L Burgelman, B Vanhecke… - SciPost Physics, 2025 - scipost.org
We show how fermionic statistics can be naturally incorporated in tensor networks on
arbitrary graphs through the use of graded Hilbert spaces. This formalism allows the use of …

[HTML][HTML] mVMC—Open-source software for many-variable variational Monte Carlo method

T Misawa, S Morita, K Yoshimi, M Kawamura… - Computer Physics …, 2019 - Elsevier
Abstract mVMC (many-variable Variational Monte Carlo) is an open-source software
package based on the variational Monte Carlo method applicable for a wide range of …

A beginner's guide to non-abelian iPEPS for correlated fermions

B Bruognolo, JW Li, J von Delft… - SciPost Physics Lecture …, 2021 - scipost.org
Infinite projected entangled pair states (iPEPS) have emerged as a powerful tool for studying
interacting two-dimensional fermionic systems. In this review, we discuss the iPEPS …

Phase Diagram, -Wave Superconductivity, and Pseudogap of the Model at Finite Temperature

DW Qu, Q Li, SS Gong, Y Qi, W Li, G Su - Physical Review Letters, 2024 - APS
Recently, robust d-wave superconductive (SC) order has been unveiled in the ground state
of the 2D tt′-J model—with both nearest-neighbor (t) and next-nearest-neighbor (t′) …

Tensor network study of the spin- Heisenberg antiferromagnet on the shuriken lattice

P Schmoll, A Kshetrimayum, J Naumann, J Eisert… - Physical Review B, 2023 - APS
We investigate the ground state of the spin S= 1 2 Heisenberg antiferromagnet on the
shuriken lattice, also in the presence of an external magnetic field. To this end, we employ …