Interacting topological phases in thin films of topological mirror Kondo insulators

Zhang, Rui Xing; Xu, Cenke; Liu, Chao Xing

doi:10.1103/physrevb.94.235128

Cited by 9 publications

(5 citation statements)

References 67 publications

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“…In this case, two linearly independent vectors l's describing cosine terms are required in order to gap out all of the edge modes. Namely, at least a pair of helical Majorana modes survives even in the presence of cosine terms preserving the symmetry 236,237 .…”

Section: B Gappability Of the Helical Majorana Modesmentioning

confidence: 99%

Topological d-wave superconductivity in two dimensions

Yanase,

Daido,

Takasan

et al. 2021

Preprint

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Despite intensive searches for topological superconductors, the realization of topological superconductivity remains under debate. Previous proposals for the topological s-wave, p-wave, and chiral d-wave superconductivity have both advantages and disadvantages. In this review, we discuss two-dimensional topological superconductivity based on the non-chiral d-wave superconductors. It is shown that the noncentrosymmetric d-wave superconductors become topological superconductors under an infinitesimal Zeeman field without fine-tuning of parameters. Floquet engineering for introducing the Zeeman field in a controllable way is also proposed. When the two-dimensional noncentrosymmetric superconductors are stacked to recover the global inversion symmetry, the fieldinduced parity transition may occur, and the high-field odd-parity superconducting state realizes various topological phases depending on the stacking structures. Two-dimensional heterostructures of strongly correlated electron systems, which have been developed by recent experiments, are proposed as a platform of the high-temperature topological superconductivity and the interplay of topology and strong correlations in superconductors.

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Section: B Gappability Of the Helical Majorana Modesmentioning

confidence: 99%

Topological d-wave superconductivity in two dimensions

Yanase,

Daido,

Takasan

et al. 2021

Preprint

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“…Namely, in the TMI, the bulk-edge (boundary) correspondence 8 , 9 , one of the most distinguished and ubiquitous properties of the topological insulators, is generalized by the correlation effect. Soon after the proposal, intensive studies have examined the possibility of TMI in several condensed matter systems 10 – 20 , yielding concrete evidences for one 17 and two 18 – 20 dimensional cases. However, the TMI in three dimensions (3D) has not yet been fully explored, partly because of lack of reliable methods to study the correlated systems in 3D such as the complicated model considered for the Ir oxides 4 .…”

Section: Introductionmentioning

confidence: 99%

Higher-order topological Mott insulator on the pyrochlore lattice

Otsuka

Yoshida

Kudo

et al. 2021

Sci Rep

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We provide the first unbiased evidence for a higher-order topological Mott insulator in three dimensions by numerically exact quantum Monte Carlo simulations. This insulating phase is adiabatically connected to a third-order topological insulator in the noninteracting limit, which features gapless modes around the corners of the pyrochlore lattice and is characterized by a $${\mathbb {Z}}_{4}$$ Z 4 spin-Berry phase. The difference between the correlated and non-correlated topological phases is that in the former phase the gapless corner modes emerge only in spin excitations being Mott-like. We also show that the topological phase transition from the third-order topological Mott insulator to the usual Mott insulator occurs when the bulk spin gap solely closes.

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“…Namely, in the TMI, the bulk-edge (boundary) correspondence [8,9], one of the most distinguished and ubiquitous properties of the topological insulators, is generalized by the correlation effect. Soon after the proposal, intensive studies have examined the possibility of TMI in several condensed matter systems [10][11][12][13][14][15][16][17][18][19][20], yielding concrete evidences for one [17] and two [18][19][20] dimensional cases. However, the TMI in three dimensions (3D) has not yet been fully explored, partly because of lack of reliable methods to study the correlated systems in 3D such as the complicated model considered for the Ir-based oxides [4].…”

mentioning

confidence: 99%

Higher-Order Topological Mott Insulator on the Pyrochlore Lattice

Otsuka,

Yoshida,

Kudo

et al. 2021

Preprint

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We find a third-order topological Mott insulator in the Hubbard model on the pyrochlore lattice by numerically-exact quantum Monte Carlo simulations. This phase is adiabatically connected to a third-order topological insulator in the noninteracting limit, which features gapless modes around the corners of the pyrochlore lattice and is characterized by a Z4 spin-Berry phase. The difference between the correlated and non-correlated topological phases is that in the former phase the gapless corner modes emerge only in spin excitations being Mott-like. We also show that the topological phase transition from the third-order topological Mott insulator to the usual Mott insulator occurs when the bulk spin gap solely closes.

show abstract

Interacting topological phases in thin films of topological mirror Kondo insulators

Cited by 9 publications

References 67 publications

Topological d-wave superconductivity in two dimensions

Topological d-wave superconductivity in two dimensions

Higher-order topological Mott insulator on the pyrochlore lattice

Higher-Order Topological Mott Insulator on the Pyrochlore Lattice

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