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- Publisher Website: 10.1103/PhysRevB.106.L041115
- Scopus: eid_2-s2.0-85135909945
- WOS: WOS:000834338700005
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Article: Height-conserving quantum dimer models
Title | Height-conserving quantum dimer models |
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Authors | |
Issue Date | 2022 |
Publisher | American Physical Society. |
Citation | Physical Review B, 2022, v. 106 n. 4, article no. L041115 How to Cite? |
Abstract | We propose a height-conserving quantum dimer model (hQDM) such that the lattice sum of its associated height field is conserved, and that it admits a Rokhsar-Kivelson (RK) point. The hQDM with a minimal interaction range on the square lattice exhibits Hilbert space fragmentation and maps exactly to the XXZ spin model on the square lattice in certain Krylov subspaces. We obtain the ground-state phase diagram of hQDM via quantum Monte Carlo simulations, and demonstrate that a large portion of it is within the Krylov subspaces which admit the exact mapping to the XXZ model, with dimer ordered phases corresponding to easy-axis and easy-plane spin orders. At the RK point, the apparent dynamical exponents obtained from the single mode approximation and the height correlation function show drastically different behavior across the Krylov subspaces, exemplifying Hilbert space fragmentation and emergent glassy phenomena. |
Persistent Identifier | http://hdl.handle.net/10722/315608 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.345 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Yan, Z | - |
dc.contributor.author | Meng, Z | - |
dc.contributor.author | Huse, DA | - |
dc.contributor.author | Chan, A | - |
dc.date.accessioned | 2022-08-19T09:01:04Z | - |
dc.date.available | 2022-08-19T09:01:04Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Physical Review B, 2022, v. 106 n. 4, article no. L041115 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | http://hdl.handle.net/10722/315608 | - |
dc.description.abstract | We propose a height-conserving quantum dimer model (hQDM) such that the lattice sum of its associated height field is conserved, and that it admits a Rokhsar-Kivelson (RK) point. The hQDM with a minimal interaction range on the square lattice exhibits Hilbert space fragmentation and maps exactly to the XXZ spin model on the square lattice in certain Krylov subspaces. We obtain the ground-state phase diagram of hQDM via quantum Monte Carlo simulations, and demonstrate that a large portion of it is within the Krylov subspaces which admit the exact mapping to the XXZ model, with dimer ordered phases corresponding to easy-axis and easy-plane spin orders. At the RK point, the apparent dynamical exponents obtained from the single mode approximation and the height correlation function show drastically different behavior across the Krylov subspaces, exemplifying Hilbert space fragmentation and emergent glassy phenomena. | - |
dc.language | eng | - |
dc.publisher | American Physical Society. | - |
dc.relation.ispartof | Physical Review B | - |
dc.rights | Copyright [year] by The American Physical Society. This article is available online at [link to article]. | - |
dc.title | Height-conserving quantum dimer models | - |
dc.type | Article | - |
dc.identifier.email | Yan, Z: zhengyan@hku.hk | - |
dc.identifier.email | Meng, Z: zymeng@hku.hk | - |
dc.identifier.authority | Meng, Z=rp02524 | - |
dc.identifier.doi | 10.1103/PhysRevB.106.L041115 | - |
dc.identifier.scopus | eid_2-s2.0-85135909945 | - |
dc.identifier.hkuros | 335960 | - |
dc.identifier.volume | 106 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | article no. L041115 | - |
dc.identifier.epage | article no. L041115 | - |
dc.identifier.isi | WOS:000834338700005 | - |