Explore the words cloud of the TENSORNETSIM project. It provides you a very rough idea of what is the project "TENSORNETSIM" about.
The following table provides information about the project.
Coordinator |
UNIVERSITEIT VAN AMSTERDAM
Organization address contact info |
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 |
Take a look of project's partnership.
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1 | UNIVERSITEIT VAN AMSTERDAM | NL (AMSTERDAM) | coordinator | 1˙499˙909.00 |
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.
year | authors and title | journal | last update |
---|---|---|---|
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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The information about "TENSORNETSIM" are provided by the European Opendata Portal: CORDIS opendata.
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