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 …
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
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 …
significant research interest. To uncover the pairing mechanism, it is essential to investigate …
A simple tensor network algorithm for two-dimensional steady states
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 …
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
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 …
challenging problems in condensed matter and quantum physics. Here we develop a …
Time evolution of an infinite projected entangled pair state: An efficient algorithm
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 …
quantum state on an infinite 2D lattice whose accuracy is controlled by the bond dimension …
Fermionic tensor network methods
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 …
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
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 …
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
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 …
interacting two-dimensional fermionic systems. In this review, we discuss the iPEPS …
Phase Diagram, -Wave Superconductivity, and Pseudogap of the Model at Finite Temperature
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′) …
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
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 …
shuriken lattice, also in the presence of an external magnetic field. To this end, we employ …