期刊
PHYSICAL REVIEW LETTERS
卷 118, 期 11, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.118.110504
关键词
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资金
- Chinese University of Hong Kong [4053163, 3132745]
- RGC/ECS [2191110]
- NSF [DMR-1506475]
- NSFC [11274192]
- BMO Financial Group
- John Templeton Foundation
- National Science Foundation [PHY11-25915]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development Innovation
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1506475] Funding Source: National Science Foundation
We introduce a tensor renormalization group scheme for coarse graining a two-dimensional tensor network that can be successfully applied to both classical and quantum systems on and off criticality. The key innovation in our scheme is to deform a 2D tensor network into small loops and then optimize the tensors on each loop. In this way, we remove short-range entanglement at each iteration step and significantly improve the accuracy and stability of the renormalization flow. We demonstrate our algorithm in the classical Ising model and a frustrated 2D quantum model.
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