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Many-body multipole indices revealed by real-space dynamical mean-field theory |
| Guoao Yang(杨国骜)1, Jianhui Zhou(周建辉)2,†, and Tao Qin(秦涛)1,‡ |
1 School of Physics, Anhui University, Hefei 230601, China;
2 Anhui Key Laboratory of Low-energy Quantum Materials and Devices, High Magnetic Field Laboratory, HFIPS, Chinese Academy of Sciences, Hefei 230031, China |
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Abstract Multipole moments, fundamental characteristics of insulating materials, have garnered significant interest with the recent emergence of higher-order topological insulators. However, a practical method to explore them in correlated insulators is still lacking. Here, we introduce a systematic approach, which combines the general Green’s function formula for multipoles with real-space dynamical mean-field theory, to calculate multipole moments in correlated materials. Our demonstration calculations for the correlated two-dimensional Benalcazar-Bernevig-Hughes model are consistent with symmetry analysis. This method opens a new avenue to study topological phase transitions in correlated multipole insulators and other crucial physical quantities closely related to multipole moments.
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Received: 26 December 2025
Revised: 15 February 2026
Accepted manuscript online: 23 February 2026
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PACS:
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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42.25.Ja
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(Polarization)
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71.27.+a
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(Strongly correlated electron systems; heavy fermions)
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| Fund: T.Q. and J.H.Z. were supported by the National Natural Science Foundation of China (Grant Nos. 12174394 and U2032164). J.H.Z. was also supported by HFIPS Director’s Fund (Grant Nos. YZJJQY202304 and BJPY2023B05), Anhui Provincial Major S&T Project (Grant No. s202305a12020005), and the High Magnetic Field Laboratory of Anhui Province (Grant No. AHHM-FX-2020-02). A portion of this work was supported by Chinese Academy of Sciences (Grant No. JZHKYPT-2021-08). |
Corresponding Authors:
Jianhui Zhou, Tao Qin
E-mail: jhzhou@hmfl.ac.cn;taoqin@ahu.edu.cn
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Cite this article:
Guoao Yang(杨国骜), Jianhui Zhou(周建辉), and Tao Qin(秦涛) Many-body multipole indices revealed by real-space dynamical mean-field theory 2026 Chin. Phys. B 35 060301
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