Bloch, Jacques and Lohmayer, Robert and Meister, Maximilian and Nunhofer, Michael (2023) Improved local truncation schemes for the higher-order tensor renormalization group method. NUCLEAR PHYSICS B, 987: 116107. ISSN 0550-3213, 1873-1562
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The higher-order tensor renormalization group is a tensor-network method providing estimates for the partition function and thermodynamical observables of classical and quantum systems in thermal equilib-rium. At every step of the iterative blocking procedure, the coarse-grid tensor is truncated to keep the tensor dimension under control. For a consistent tensor blocking procedure, it is crucial that the forward and back-ward tensor modes are projected on the same lower-dimensional subspaces. In this paper we present two methods, the SuperQ and the iterative SuperQ method, to construct tensor truncations that reduce or even minimize the local approximation errors, while satisfying this constraint. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 530 Physics 600 Technology > 610 Medical sciences Medicine |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Jan 2024 06:41 |
| Last Modified: | 30 Jan 2024 06:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59098 |
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