Exact solutions for two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking

Ezawa, Motohiko

doi:10.1103/physrevb.97.241113

Cited by 13 publications

(16 citation statements)

References 35 publications

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“…This is in contrast to the results of the previous section but the transition value of the coupling constant g is outside the high frequency, low amplitude approximation used in Eqs. (24) and (25). We can see in FIG.…”

Section: Numerical Resultsmentioning

confidence: 83%

Photoprotected spin Hall effect on graphene with substrate induced Rashba spin–orbit coupling

López¹,

Molina²

2020

J. Phys.: Condens. Matter

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We propose an experimental realization of the Spin Hall effect in graphene by illuminating a graphene sheet on top of a substrate with circularly polarized monochromatic light. The substrate induces a controllable Rashba type spin-orbit coupling which breaks the spin-degeneracy of the Dirac cones but it is gapless. The circularly polarized light induces a gap in the spectrum and turns graphene into a Floquet topological insulator with spin dependent edge states. By analyzing the high and intermediate frequency regimes, we find that in both parameter limits, the spin-Chern number can be tuned by the effective coupling strength of the charge particles to the radiation field and determine the condition for the photoinduced topological phase transition.

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Section: Numerical Resultsmentioning

confidence: 83%

Photoprotected spin Hall effect on graphene with substrate induced Rashba spin–orbit coupling

López¹,

Molina²

2020

J. Phys.: Condens. Matter

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“…Then the interacting model can be easily solved as a simple quadratic fermion model. Other than the exact solvability, these models also provide a platform to study the interplay between the strong correlations and topology [18,19].…”

Section: Introductionmentioning

confidence: 99%

Exact Solutions of Topological Superconductor Model with Hubbard Interactions

Deng

2021

Preprint

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We study a two-dimensional model of topological superconductor with equal spin pairing and repulsive Hubbard interaction. When the pairing gap equals to the hopping constant, half of the spectrum of this model are flat bands, which makes this model exact solvable. The band structure and topological properties of the exact solutions of the interacting model are analyzed in details. It is found that the ground state corresponds to a staggered distribution of the conserved quantities.

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“…In Ref. 16 , Ezawa carried out a detailed study of the BCS superconductor based on the Kane-Mele model with Hubbard interaction. It is known that Kane-Mele model is proposed for graphene, which does not has strong enough spin orbital coupling to become topologically nontrivial.…”

Section: Introductionmentioning

confidence: 99%

Exact solution to sodium-iridate-BCS– Hubbard model along the symmetric line: non-trivial topology in the ferromagnetic order

Bi¹,

He²,

Li³

2021

J. Phys.: Condens. Matter

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We study the sodium-iridates model on the honeycomb lattice with both BCS pairing potential and Hubbard interaction term. It is shown that this model can be exactly solved with appropriate choices of amplitude of pairing gaps, where the interacting terms are transformed to external field terms. The band structures of these exact solutions on both torus and cylinder geometry are discussed in great details. It is found that the ground state assumes an anti-ferromagnetic configuration, which breaks the time reversal symmetry spontaneously and renders the superconductor topologically trivial. On the other hand, the nontrivial topology is preserved with ferromagnetic configuration and can be characterized by the isospin Chern number.

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Exact solutions for two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking

Cited by 13 publications

References 35 publications

Photoprotected spin Hall effect on graphene with substrate induced Rashba spin–orbit coupling

Photoprotected spin Hall effect on graphene with substrate induced Rashba spin–orbit coupling

Exact Solutions of Topological Superconductor Model with Hubbard Interactions

Exact solution to sodium-iridate-BCS– Hubbard model along the symmetric line: non-trivial topology in the ferromagnetic order

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