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원자제어 저차원 전자계 연구단
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Many-body quadrupolar sum rule for higher-order topological insulators

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Title
Many-body quadrupolar sum rule for higher-order topological insulators
Author(s)
Wonjun Lee; Gil Young Cho; Kang, Byungmin
Publication Date
2022-04
Journal
Physical Review B, v.105, no.15
Publisher
American Physical Society
Abstract
The modern theory of polarization establishes the bulk-boundary correspondence for the bulk polarization. In this paper, we attempt to extend it to a sum rule of the bulk quadrupole moment by employing a many-body operator introduced in Kang et al. [B. Kang, K. Shiozaki, and G. Y. Cho, Phys. Rev. B 100, 245134 (2019)10.1103/PhysRevB.100.245134] and Wheeler et al. [W. A. Wheeler, L. K. Wagner, and T. L. Hughes, Phys. Rev. B 100, 245135 (2019)10.1103/PhysRevB.100.245135]. The sum rule that we propose consists of the alternating sum of four observables, which are the phase factors of the many-body operator in different boundary conditions. We demonstrate its validity through extensive numerical computations for various noninteracting tight-binding models. We also observe that individual terms in the sum rule correspond to the bulk quadrupole moment, the edge-localized polarizations, and the corner charge in the thermodynamic limit on some models.
URI
https://pr.ibs.re.kr/handle/8788114/11963
DOI
10.1103/PhysRevB.105.155143
ISSN
2469-9950
Appears in Collections:
Center for Artificial Low Dimensional Electronic Systems(원자제어 저차원 전자계 연구단) > 1. Journal Papers (저널논문)
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