Disorder-induced topological superconductivity in a spherical quantum-Hall--superconductor hybrid
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929625930661888 |
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| author | Kudo, Koji Nakai, Ryota Nomura, Kentaro |
| author_facet | Kudo, Koji Nakai, Ryota Nomura, Kentaro |
| contents | Quantum-Hall--Superconductor hybrids have been predicted to exhibit various types of topological order, providing possible platforms for intrinsically fault-tolerant quantum computing. In this paper, we develop a formulation to construct this hybrid system on a sphere, a useful geometry for identifying topologically ordered states due to its compact and contractible nature. As a preliminary step using this framework, we investigate disorder effects on the Rashba-coupled quantum Hall system combined with the type-II superconductor. By diagonalizing the BdG Hamiltonian projected into a Rashba-coupled Landau level, we demonstrate the emergence of a topological superconducting phase resulting from disorders and proximity-induced pairing. Distinctive gapless modes appear in the real-space entanglement spectrum, which is consistent with topological superconductivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04426 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Disorder-induced topological superconductivity in a spherical quantum-Hall--superconductor hybrid Kudo, Koji Nakai, Ryota Nomura, Kentaro Mesoscale and Nanoscale Physics Strongly Correlated Electrons Superconductivity Quantum-Hall--Superconductor hybrids have been predicted to exhibit various types of topological order, providing possible platforms for intrinsically fault-tolerant quantum computing. In this paper, we develop a formulation to construct this hybrid system on a sphere, a useful geometry for identifying topologically ordered states due to its compact and contractible nature. As a preliminary step using this framework, we investigate disorder effects on the Rashba-coupled quantum Hall system combined with the type-II superconductor. By diagonalizing the BdG Hamiltonian projected into a Rashba-coupled Landau level, we demonstrate the emergence of a topological superconducting phase resulting from disorders and proximity-induced pairing. Distinctive gapless modes appear in the real-space entanglement spectrum, which is consistent with topological superconductivity. |
| title | Disorder-induced topological superconductivity in a spherical quantum-Hall--superconductor hybrid |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2401.04426 |