Accurate Simulation of the Hubbard Model with Finite Fermionic Projected Entangled Pair States
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911020825444352 |
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| author | Liu, Wen-Yuan Zhai, Huanchen Peng, Ruojing Gu, Zheng-Cheng Chan, Garnet Kin-Lic |
| author_facet | Liu, Wen-Yuan Zhai, Huanchen Peng, Ruojing Gu, Zheng-Cheng Chan, Garnet Kin-Lic |
| contents | We demonstrate the use of finite-size fermionic projected entangled pair states, in conjunction with variational Monte Carlo, to perform accurate simulations of the ground-state of the 2D Hubbard model. Using bond dimensions of up to $D=28$, we show that we can surpass state-of-the-art DMRG energies that use up to $m=32000$ SU(2) multiplets on 8-leg ladders. We further apply our methodology to $10\times 16$, $12\times 16$ and $16 \times 16$ lattices at $1/8$ hole doping and observe the dimensional crossover between stripe orientations. Our work shows the power of finite-size fermionic tensor networks to resolve the physics of the 2D Hubbard model and related problems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_13454 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Accurate Simulation of the Hubbard Model with Finite Fermionic Projected Entangled Pair States Liu, Wen-Yuan Zhai, Huanchen Peng, Ruojing Gu, Zheng-Cheng Chan, Garnet Kin-Lic Strongly Correlated Electrons Superconductivity Quantum Physics We demonstrate the use of finite-size fermionic projected entangled pair states, in conjunction with variational Monte Carlo, to perform accurate simulations of the ground-state of the 2D Hubbard model. Using bond dimensions of up to $D=28$, we show that we can surpass state-of-the-art DMRG energies that use up to $m=32000$ SU(2) multiplets on 8-leg ladders. We further apply our methodology to $10\times 16$, $12\times 16$ and $16 \times 16$ lattices at $1/8$ hole doping and observe the dimensional crossover between stripe orientations. Our work shows the power of finite-size fermionic tensor networks to resolve the physics of the 2D Hubbard model and related problems. |
| title | Accurate Simulation of the Hubbard Model with Finite Fermionic Projected Entangled Pair States |
| topic | Strongly Correlated Electrons Superconductivity Quantum Physics |
| url | https://arxiv.org/abs/2502.13454 |