中国物理B ›› 2026, Vol. 35 ›› Issue (6): 60301-060301.doi: 10.1088/1674-1056/ae48c3

• •    下一篇

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. 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
  • 收稿日期:2025-12-26 修回日期:2026-02-15 接受日期:2026-02-23 出版日期:2026-05-28 发布日期:2026-05-28
  • 通讯作者: Jianhui Zhou, Tao Qin E-mail:jhzhou@hmfl.ac.cn;taoqin@ahu.edu.cn
  • 基金资助:
    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).

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. 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
  • Received:2025-12-26 Revised:2026-02-15 Accepted:2026-02-23 Online:2026-05-28 Published:2026-05-28
  • Contact: Jianhui Zhou, Tao Qin E-mail:jhzhou@hmfl.ac.cn;taoqin@ahu.edu.cn
  • Supported by:
    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).

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摘要： 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.

关键词: higher-order topological insulator, multipoles, strongly correlated electron systems

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.

Key words: higher-order topological insulator, multipoles, strongly correlated electron systems

中图分类号:  (Phases: geometric; dynamic or topological)

  • 03.65.Vf
42.25.Ja (Polarization) 71.27.+a (Strongly correlated electron systems; heavy fermions)