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

Abstract

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 interacting phase turns out to be revealed by both long-range order of a non-local 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.

4 pages, 3 figures, updated Refs

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Cited by in corpus (9)

• Topological invariants based on generalized position operators and application to the interacting Rice-Mele model
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Charge and spin gaps of the ionic Hubbard model with density-dependent hopping
• Jordan-Wigner transformation constructed for spinful fermions at S=1/2 spins in one dimension
• Topological Phase Transitions with Zero Indirect Band Gap
• Many-body tunneling in a double-well potential
• Nonstandard Hubbard model and electron pairing
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
• Signatures of the Correlated-Hopping Interaction in Non-Linear Transport through a Quantum Dot