Topological Mott Insulator with Bosonic Edge Modes in 1D Fermionic Superlattices

Abstract

We investigate topological phase transitions driven by interaction and identify a novel topological Mott insulator state in one-dimensional fermionic optical superlattices through numerical density matrix renormalization group (DMRG) method. Remarkably, the low-energy edge excitations change from spin-1/2 fermionic single-particle modes to spin-1 bosonic collective modes across the phase transition. Due to spin-charge separation, the low-energy theory is governed by an effective spin superexchange model, whereas the charge degree of freedom is fully gapped out. Such topological Mott state can be characterized by a spin Chern number and gapless magnon modes protected by a finite spin gap. The proposed experimental setup is simple and may pave the way for the experimental observation of exotic topological Mott states.

7 pages, 5 figures

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Cited by in corpus (11)

• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Topological Gaps in Quasi-Periodic Spin Chains: A Numerical and K-Theoretic Analysis
• Topological magnon insulator and quantized pumps from strongly-interacting bosons in optical superlattices
• Topological order versus many-body localization in periodically modulated spin chains
• Topological phases in the Fermi-Hofstadter-Hubbard model on hybrid-space ladders
• Enhanced superconductivity and various edge modes in modulated $t$-$J$ chains
• Mapping Chern numbers in quasi-periodic interacting spin chains
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains