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DC Field | Value | Language |
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dc.citation.number | 13 | - |
dc.citation.startPage | 134441 | - |
dc.citation.title | PHYSICAL REVIEW B | - |
dc.citation.volume | 99 | - |
dc.contributor.author | Wang, Lihua | - |
dc.contributor.author | Kim, Kwang S. | - |
dc.date.accessioned | 2023-12-21T19:13:25Z | - |
dc.date.available | 2023-12-21T19:13:25Z | - |
dc.date.created | 2019-05-29 | - |
dc.date.issued | 2019-04 | - |
dc.description.abstract | We study the spin-12 antiferromagnetic Heisenberg model on an ∞×N square lattice for even N's up to 14. Previously, the nonlinear sigma model perturbatively predicted that its spin-rotational symmetry breaks asymptotically with N→∞, i.e., when it becomes two dimensional (2D). However, we identify a critical width Nc=10 for which this symmetry breaks spontaneously. It shows the signature of a dimensional transition from one dimensional (1D) including quasi-1D to 2D. The finite-size effect differs from that of the N×N lattice. The ground-state (GS) energy per site approaches the thermodynamic limit value, in agreement with the previously accepted value, by one order of 1/N faster than when using N×N lattices in the literature. Methodwise, we build and variationally solve a matrix product state (MPS) on a chain, converting the N sites in each rung into an effective site. We show that the area law of entanglement entropy does not apply when N increases in our method and the reduced density matrix of each effective site has a saturating number of dominant diagonal elements with increasing N. These two characteristics make the MPS rank needed to obtain a desired energy accuracy quickly saturate when N is large, making our algorithm efficient for large N's. Furthermore, the latter enables space reduction in MPS. Within the framework of MPS, we prove a theorem that the spin-spin correlation at infinite separation is the square of staggered magnetization and demonstrate that the eigenvalue structure of a building MPS unit of (g|g),|g) being the GS is responsible for order, disorder, and quasi-long-range order. | - |
dc.identifier.bibliographicCitation | PHYSICAL REVIEW B, v.99, no.13, pp.134441 | - |
dc.identifier.doi | 10.1103/PhysRevB.99.134441 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.scopusid | 2-s2.0-85065498569 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/26839 | - |
dc.identifier.url | https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.134441 | - |
dc.identifier.wosid | 000466384300002 | - |
dc.language | 영어 | - |
dc.publisher | American Physical Society | - |
dc.title | Signature of a quantum dimensional transition in the spin- 12 antiferromagnetic Heisenberg model on a square lattice and space reduction in the matrix product state | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter | - |
dc.relation.journalResearchArea | Materials Science; Physics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordPlus | LONG-RANGE ORDER | - |
dc.subject.keywordPlus | GROUND-STATE | - |
dc.subject.keywordPlus | MONTE-CARLO | - |
dc.subject.keywordPlus | NEEL ORDER | - |
dc.subject.keywordPlus | CROSSOVER | - |
dc.subject.keywordPlus | SYMMETRY | - |
dc.subject.keywordPlus | SYSTEMS | - |
dc.subject.keywordPlus | S=1/2 | - |
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