PMID- 36610957 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20230109 LR - 20230111 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 158 IP - 1 DP - 2023 Jan 7 TI - Hierarchical equations of motion approach for accurate characterization of spin excitations in quantum impurity systems. PG - 014106 LID - 10.1063/5.0131739 [doi] AB - Recent technological advancement in scanning tunneling microscopes has enabled the measurement of spin-field and spin-spin interactions in single atomic or molecular junctions with an unprecedentedly high resolution. Theoretically, although the fermionic hierarchical equations of motion (HEOM) method has been widely applied to investigate the strongly correlated Kondo states in these junctions, the existence of low-energy spin excitations presents new challenges to numerical simulations. These include the quest for a more accurate and efficient decomposition for the non-Markovian memory of low-temperature environments and a more careful handling of errors caused by the truncation of the hierarchy. In this work, we propose several new algorithms, which significantly enhance the performance of the HEOM method, as exemplified by the calculations on systems involving various types of low-energy spin excitations. Being able to characterize both the Kondo effect and spin excitation accurately, the HEOM method offers a sophisticated and versatile theoretical tool, which is valuable for the understanding and even prediction of the fascinating quantum phenomena explored in cutting-edge experiments. FAU - Zhang, Daochi AU - Zhang D AUID- ORCID: 0000-0003-1921-8141 AD - Hefei National Research Center for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Zuo, Lijun AU - Zuo L AD - Hefei National Research Center for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Ye, Lyuzhou AU - Ye L AUID- ORCID: 0000-0001-8016-722X AD - Hefei National Research Center for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Chen, Zi-Hao AU - Chen ZH AUID- ORCID: 0000-0002-2575-0081 AD - Hefei National Research Center for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Wang, Yao AU - Wang Y AUID- ORCID: 0000-0003-2939-208X AD - Hefei National Research Center for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Xu, Rui-Xue AU - Xu RX AUID- ORCID: 0000-0001-9931-201X AD - Hefei National Research Center for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Zheng, Xiao AU - Zheng X AUID- ORCID: 0000-0002-9804-1833 AD - Hefei National Research Center for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Yan, YiJing AU - Yan Y AUID- ORCID: 0000-0002-4499-8154 AD - Hefei National Research Center for Physical Sciences at the Microscale and iChEM, University of Science and Technology of China, Hefei, Anhui 230026, China. LA - eng PT - Journal Article PL - United States TA - J Chem Phys JT - The Journal of chemical physics JID - 0375360 SB - IM EDAT- 2023/01/08 06:00 MHDA- 2023/01/08 06:01 CRDT- 2023/01/07 22:02 PHST- 2023/01/07 22:02 [entrez] PHST- 2023/01/08 06:00 [pubmed] PHST- 2023/01/08 06:01 [medline] AID - 10.1063/5.0131739 [doi] PST - ppublish SO - J Chem Phys. 2023 Jan 7;158(1):014106. doi: 10.1063/5.0131739.