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TENSORNETSIM SIGNED

Accurate simulations of strongly correlated systems with tensor network methods

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EC-Contrib. €

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Project "TENSORNETSIM" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITEIT VAN AMSTERDAM 

Organization address
address: SPUI 21
city: AMSTERDAM
postcode: 1012WX
website: www.uva.nl

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Netherlands [NL]
 Total cost 1˙499˙909 €
 EC max contribution 1˙499˙909 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-STG
 Funding Scheme ERC-STG
 Starting year 2016
 Duration (year-month-day) from 2016-09-01   to  2021-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITEIT VAN AMSTERDAM NL (AMSTERDAM) coordinator 1˙499˙909.00

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 Project objective

This project aims to achieve ground-breaking advances in the biggest challenge in computational condensed matter physics: the accurate simulation of strongly correlated systems (SCS), which give rise to fascinating phenomena such as high-Tc superconductivity (HTSC), quantum spin liquids with topological order, and other exotic phases of matter. While for one-dimensional (1D) systems tremendous progress has been made thanks to the famous density-matrix renormalization group (DMRG) method, in higher dimensions accurate methods have been lacking for many years. Recently, I achieved several major breakthroughs with tensor network methods, which can be seen as an extension of DMRG to higher dimensions. I was able to show that these methods outperform previous state-of-the-art approaches for several challenging models, making it clear that these methods will play a pivotal role in understanding SCS in 2D, in the same way as DMRG has revolutionized the study of 1D systems.

The goal of this project is to build upon these breakthroughs and to develop the next generation of tensor network methods to simulate relevant open problems in SCS with an unprecedented accuracy, in order to make substantial progress in understanding the physics of these systems.

Milestones of this project include: - Development and improvement of 2D tensor network methods for finite temperature simulations, the computation of excitation spectra, and the classification of topological states, and pioneering work with tensor networks for 3D systems. - Accurate simulation of the 2D Hubbard model to answer the longstanding question if it captures the essential features of HTSC. - Study of extended Hubbard models to understand which ingredients are really essential for HTSC. - Prediction of novel phases of matter in SU(N) systems, relevant for experiments on ultra-cold atoms in optical lattices. - Cutting-edge simulations for the quantitative understanding of 2D and 3D frustrated materials.

 Publications

year authors and title journal last update
List of publications.
2019 Piotr Czarnik, Philippe Corboz
Finite correlation length scaling with infinite projected entangled pair states at finite temperature
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.245107
Physical Review B 99/24 2019-10-10
2019 Zhenzhong Shi, William Steinhardt, David Graf, Philippe Corboz, Franziska Weickert, Neil Harrison, Marcelo Jaime, Casey Marjerrison, Hanna A. Dabkowska, Frédéric Mila, Sara Haravifard
Emergent bound states and impurity pairs in chemically doped Shastry-Sutherland system
published pages: , ISSN: 2041-1723, DOI: 10.1038/s41467-019-10410-x
Nature Communications 10/1 2019-10-10
2019 Sangwoo S. Chung, Philippe Corboz
SU(3) fermions on the honeycomb lattice at 1 3 filling
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.100.035134
Physical Review B 100/3 2019-10-10
2017 Juan Osorio Iregui, Matthias Troyer, Philippe Corboz
Infinite matrix product states versus infinite projected entangled-pair states on the cylinder: A comparative study
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.115113
Physical Review B 96/11 2019-07-08
2018 Ido Niesen, Philippe Corboz
Ground-state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.245146
Physical Review B 97/24 2019-07-08
2018 Philippe Corboz, Piotr Czarnik, Geert Kapteijns, Luca Tagliacozzo
Finite Correlation Length Scaling with Infinite Projected Entangled-Pair States
published pages: 31031, ISSN: 2160-3308, DOI: 10.1103/physrevx.8.031031
Physical Review X 8/3 2019-07-08
2018 Stefan Wessel, Ido Niesen, Jonas Stapmanns, B. Normand, Frédéric Mila, Philippe Corboz, Andreas Honecker
Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.174432
Physical Review B 98/17 2019-07-08
2018 J. Stapmanns, P. Corboz, F. Mila, A. Honecker, B. Normand, S. Wessel
Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.127201
Physical Review Letters 121/12 2019-07-08
2017 Ido Niesen, Philippe Corboz
Emergent Haldane phase in the S = 1 bilinear-biquadratic Heisenberg model on the square lattice
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.95.180404
Physical Review B 95/18 2019-07-08
2017 Bo-Xiao Zheng, Chia-Min Chung, Philippe Corboz, Georg Ehlers, Ming-Pu Qin, Reinhard M. Noack, Hao Shi, Steven R. White, Shiwei Zhang, Garnet Kin-Lic Chan
Stripe order in the underdoped region of the two-dimensional Hubbard model
published pages: 1155-1160, ISSN: 0036-8075, DOI: 10.1126/science.aam7127
Science 358/6367 2019-07-08
2017 Ido Niesen, Philippe Corboz
A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice
published pages: , ISSN: 2542-4653, DOI: 10.21468/SciPostPhys.3.4.030
SciPost Physics 3/4 2019-07-08
2018 J. Stapmanns, P. Corboz, F. Mila, A. Honecker, B. Normand, S. Wessel
Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.127201
Physical Review Letters 121/12 2019-05-22
2019 Piotr Czarnik, Jacek Dziarmaga, Philippe Corboz
Time evolution of an infinite projected entangled pair state: An efficient algorithm
published pages: 35115, ISSN: 2469-9950, DOI: 10.1103/physrevb.99.035115
Physical Review B 99/3 2019-05-22

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