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Bulk-boundary correspondence in (3+1)-dimensional topological phases

Apoorv Tiwari, Xiaohong Chen, Shinsei Ryu

Bulletin of the American Physical SocietyMar 18, 20164 citations

Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter

Abhijeet Alase

Springer thesesJan 1, 201911 citations

Realizing the bulk-boundary correspondence for anomalous symmetry-enriched topological phases

Daniel Bulmash, Maissam Barkeshli

Bulletin of the American Physical SocietyMar 3, 20200 citations

Bulk-boundary correspondence for (2+1)D symmetry protected topological phases

Kyle Kawagoe, Michael Levin

Bulletin of the American Physical SocietyMar 3, 20200 citations

Many-body quadrupolar sum rule for higher-order topological insulators

Wonjun Lee, Gil Young Cho, Byungmin Kang

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)] and Wheeler et al. [W. A. Wheeler, L. K. Wagner, and T. L. Hughes, Phys. Rev. B 100, 245135 (2019)]. 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.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)] and Wheeler et al. [W. A. Wheeler, L. K. Wagner, and T. L. Hughes, Phys. Rev. B 100, 245135 (2019)]. 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.

arXiv:2110.11375Physical review. B./Physical review. BApr 21, 20222 citations

Publisher's Note: Fractional topological phases in three-dimensional coupled-wire systems [Phys. Rev. B92, 115152 (2015)]

Tobias Meng

Physical review. B./Physical review. BFeb 11, 20160 citations

Publisher's Note: Bulk-boundary correspondence in (3+1)-dimensional topological phases [Phys. Rev. B 94, 045113 (2016)]

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Publisher's Note: Bulk-boundary correspondence in (3+1)-dimensional topological phases [Phys. Rev. B 94, 045113 (2016)]

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