Abstract
In this work we propose a solid-state platform for creating quantum simulators based on implanted spin centers in semiconductors. We show that under the presence of an external magnetic field, an array of S=1 spin centers interacting through magnetic dipole-dipole interaction can be mapped into an effective spin-half system equivalent to the XYZ model in an external magnetic field. Interestingly, this system presents a wide range of quantum phases and critical behaviors that can be controlled via magnetic field and orientational arrangement of the spin centers. We demonstrate our interacting spin chain can be tuned to both isotropic Heisenberg model and transverse-field Ising universality class. Notably, our model contains a line where the system is in a critical floating phase that terminates at Berezinskii-Kosterlitz-Thouless and Pokrovsky-Talapov transition points. We propose this system as a solid-state quantum simulator for the floating phase based on spin centers.
| Original language | English |
|---|---|
| Article number | 014413 |
| Number of pages | 16 |
| Journal | Physical Review B |
| Volume | 110 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jul 2024 |
Bibliographical note
Publisher Copyright:© 2024 American Physical Society.
Funding
This work was supported in part by the National Science Foundation (NSF) RAISE-TAQS under Award No. 1839153 (S.W.T.), by the U.S. Department of Energy (DOE), Office of Basic Energy Sciences under Awards No. DE-SC0019250 (M.E.F.) for the NV Hamiltonian derivation and No. DE-SC0019139 (Y.M.) for using quantum spin chains as quantum simulators. J.Z. is supported by NSFC under Grants No. 12304172 and No. 12347101, Chongqing Natural Science Foundation under Grant No. CSTB2023NSCQ-MSX0048, and Fundamental Research Funds for the Central Universities under Projects No. 2023CDJXY-048 and No. 2020CDJQY-Z003. Computations were performed using the computer clusters and data storage resources of the HPCC, which were funded by grants from NSF (Grants No. MRI-2215705, No. MRI-1429826) and NIH (No. 1S10OD016290-01A1). This work was supported in part by the National Science Foundation (NSF) RAISE-TAQS under Award No. 1839153 (S.W.T.), by the U.S. Department of Energy (DOE), Office of Basic Energy Sciences under Awards No. DE-SC0019250 (M.E.F.) for the NV Hamiltonian derivation and No. DE-SC0019139 (Y.M.) for using quantum spin chains as quantum simulators. J.Z. is supported by NSFC under Grants No. 12304172 and No. 12347101, Chongqing Natural Science Foundation under Grant No. CSTB2023NSCQ-MSX0048, and Fundamental Research Funds for the Central Universities under Projects No. 2023CDJXY-048 and No. 2020CDJQY-Z003. Computations were performed using the computer clusters and data storage resources of the HPCC, which were funded by grants from NSF (Grants No. MRI-2215705, No. MRI-1429826) and NIH (No. 1S10OD016290-01A1). This work was supported in part by the National Science Foundation (NSF) RAISE-TAQS under Award No. 1839153 (S.W.T.), by the U.S. Department of Energy (DOE), Office of Basic Energy Sciences under Awards No. DE-SC0019250 (M.E.F.) for the NV Hamiltonian derivation and No. DE-SC0019139 (Y.M.) for using quantum spin chains as quantum simulators. J.Z. is supported by NSFC under Grants No. 12304172 and No. 12347101, Chongqing Natural Science Foundation under Grant No. CSTB2023NSCQ-MSX0048, and Fundamental Research Funds for the Central Universities under Projects No. 2023CDJXY-048 and No. 2020CDJQY-Z003. Computations were performed using the computer clusters and data storage resources of the HPCC, which were funded by grants from NSF (Grants No. MRI-2215705, No. MRI-1429826) and NIH (No. 1S10OD016290-01A1)