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- Publisher Website: 10.1103/PhysRevLett.132.206502
- Scopus: eid_2-s2.0-85193728543
- PMID: 38829100
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Article: Measuring the Boundary Gapless State and Criticality via Disorder Operator
Title | Measuring the Boundary Gapless State and Criticality via Disorder Operator |
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Authors | |
Issue Date | 17-May-2024 |
Publisher | American Physical Society |
Citation | Physical Review Letters, 2024, v. 132, n. 20 How to Cite? |
Abstract | The disorder operator is often designed to reveal the conformal field theory (CFT) information in quantum many-body systems. By using large-scale quantum Monte Carlo simulation, we study the scaling behavior of disorder operators on the boundary in the two-dimensional Heisenberg model on the square-octagon lattice with gapless topological edge state. In the Affleck-Kennedy-Lieb-Tasaki phase, the disorder operator is shown to hold the perimeter scaling with a logarithmic term associated with the Luttinger liquid parameter K. This effective Luttinger liquid parameter K reflects the low-energy physics and CFT for (1+1)D boundary. At bulk critical point, the effective K is suppressed but it keeps finite value, indicating the coupling between the gapless edge state and bulk fluctuation. The logarithmic term numerically captures this coupling picture, which reveals the (1+1)D SU(2)1 CFT and (2+1)D O(3) CFT at boundary criticality. Our Letter paves a new way to study the exotic boundary state and boundary criticality. |
Persistent Identifier | http://hdl.handle.net/10722/345660 |
ISSN | 2023 Impact Factor: 8.1 2023 SCImago Journal Rankings: 3.040 |
DC Field | Value | Language |
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dc.contributor.author | Liu, Zenan | - |
dc.contributor.author | Huang, Rui Zhen | - |
dc.contributor.author | Wang, Yan Cheng | - |
dc.contributor.author | Yan, Zheng | - |
dc.contributor.author | Yao, Dao Xin | - |
dc.date.accessioned | 2024-08-27T09:10:19Z | - |
dc.date.available | 2024-08-27T09:10:19Z | - |
dc.date.issued | 2024-05-17 | - |
dc.identifier.citation | Physical Review Letters, 2024, v. 132, n. 20 | - |
dc.identifier.issn | 0031-9007 | - |
dc.identifier.uri | http://hdl.handle.net/10722/345660 | - |
dc.description.abstract | The disorder operator is often designed to reveal the conformal field theory (CFT) information in quantum many-body systems. By using large-scale quantum Monte Carlo simulation, we study the scaling behavior of disorder operators on the boundary in the two-dimensional Heisenberg model on the square-octagon lattice with gapless topological edge state. In the Affleck-Kennedy-Lieb-Tasaki phase, the disorder operator is shown to hold the perimeter scaling with a logarithmic term associated with the Luttinger liquid parameter K. This effective Luttinger liquid parameter K reflects the low-energy physics and CFT for (1+1)D boundary. At bulk critical point, the effective K is suppressed but it keeps finite value, indicating the coupling between the gapless edge state and bulk fluctuation. The logarithmic term numerically captures this coupling picture, which reveals the (1+1)D SU(2)1 CFT and (2+1)D O(3) CFT at boundary criticality. Our Letter paves a new way to study the exotic boundary state and boundary criticality. | - |
dc.language | eng | - |
dc.publisher | American Physical Society | - |
dc.relation.ispartof | Physical Review Letters | - |
dc.title | Measuring the Boundary Gapless State and Criticality via Disorder Operator | - |
dc.type | Article | - |
dc.identifier.doi | 10.1103/PhysRevLett.132.206502 | - |
dc.identifier.pmid | 38829100 | - |
dc.identifier.scopus | eid_2-s2.0-85193728543 | - |
dc.identifier.volume | 132 | - |
dc.identifier.issue | 20 | - |
dc.identifier.eissn | 1079-7114 | - |
dc.identifier.issnl | 0031-9007 | - |