@article{ba2b243c83b044eb8897e5a24d4d7b57,
title = "Height-conserving quantum dimer models",
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.",
author = "Zheng Yan and Meng, {Zi Yang} and Huse, {David A.} and Amos Chan",
note = "Funding Information: Acknowledgments. We wish to thank Jie Wang and Shivaji Sondhi for useful discussions, and Sanjay Moudgalya and Abhinav Prem for previous collaboration. Z.Y. and Z.Y.M. acknowledge support from the RGC of Hong Kong SAR of China (Grants No. 17303019, No. 17301420, No. 17301721, and No. AoE/P-701/20), the K. C. Wong Education Foundation (Grant No. GJTD-2020-01), and the Seed Funding “Quantum-Inspired explainable-AI” at the HKU-TCL Joint Research Centre for Artificial Intelligence. We thank the Information Technology Services at the University of Hong Kong and the Tianhe platforms at the National Supercomputer Centers in Guangzhou for technical support and generous allocation of CPU time. The authors acknowledge Beijng PARATERA Tech Company, Ltd. for providing HPC resources that have contributed to the research results reported within this Letter. D.A.H. is supported in part by NSF QLCI Grant No. OMA-2120757. A.C. is supported by fellowships from the Croucher Foundation and the PCTS at Princeton University. Publisher Copyright: {\textcopyright} 2022 American Physical Society.",
year = "2022",
month = jul,
day = "15",
doi = "10.1103/PhysRevB.106.L041115",
language = "English (US)",
volume = "106",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "4",
}