4.6 Article

Interacting second-order topological insulators in one-dimensional fermions with correlated hopping

期刊

PHYSICAL REVIEW B
卷 106, 期 24, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.106.L241115

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资金

  1. ERC AdG NOQIA
  2. Ministerio de Ciencia y Innovation Agencia Estatal de Investigaciones [PGC2018-097027-B-I00/10.13039/501100011033, CEX2019-000910-S/10.13039/501100011033, PID2019-106901GB-I00, PCI2019-111828-2, PCI2022-132919, RTC2019-007196-7]
  3. European Union NextGenerationEU (PRTR)
  4. Fundacio Cellex
  5. Fundacio Mir-Puig
  6. Generalitat de Catalunya
  7. European Social Fund FEDER
  8. CERCA program (AGAUR - ERDF Operational Program of Catalonia 2014-2020) [2017 SGR 134, U16-011424]
  9. Barcelona Supercomputing Center MareNostrum [FI-2022-1-0042]
  10. EU [899794]
  11. National Science Centre, Poland [2016/20/W/ST4/00314]
  12. European Union [101029393, 847648]
  13. La Caixa Junior Leaders fellowships [ID100010434, LCF/BQ/PI19/11690013, LCF/BQ/PI20/11760031, LCF/BQ/PR20/11770012, LCF/BQ/PR21/11840013]
  14. Politecnico di Torino [54_RSG21BL01]
  15. Simons Foundation [651440]

向作者/读者索取更多资源

The study explores higher-order topological crystalline phases in low-dimensional interacting quantum systems and interacting second-order topological insulating phases, showing distinct characteristics under strong interactions.
Higher-order topological crystalline phases in low-dimensional interacting quantum systems represent a challenging and largely unexplored research topic. Here, we derive a Hamiltonian describing fermions interacting through correlated hopping processes that break chiral invariance, but preserve both inversion and time-reversal symmetries. In this way, we show that our one-dimensional model gives rise to an interacting second-order topological insulating phase that supports gapped edge states. The topological nature of such an interacting phase turns out to be revealed by both long-range order of a nonlocal string correlation function and by even degeneracy of the entanglement spectrum. For strong interactions we instead find that the topological crystalline phase is destroyed and replaced by a singlet superconducting phase. The latter, characterized by local fermionic pairing, turns out to appear both in a homogeneous and in a phase separated form. Relevantly, the derived one-dimensional model and the second-order topological insulator can be explored and investigated in atomic quantum simulators.

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