Reentrant topological phases and spin density wave induced by 1D moir\'e potentials

TL;DR

This paper explores how one-dimensional moiré potentials induce topological phase transitions and spin density waves in spin-1/2 fermionic atoms, revealing new topological phenomena and many-body effects in 1D moiré systems.

Contribution

It demonstrates the emergence of reentrant topological phases and spin density waves driven by 1D moiré potentials, providing new insights into topological and correlated phases in 1D systems.

Findings

Reentrant topological phases induced by moiré potential

Periodic spin density waves in many-body ground states

Critical exponents and localization properties characterized

Abstract

Recent studies of 2D moir\'e materials have opened opportunities for advancing condensed matter physics. However, the effect of 1D moir\'e potentials on topological and correlated phases remains largely unexplored. Here we reveal a sequence of trivial-to-topological transitions and periodic-moir\'e-spin density waves induced by the 1D commensurate moir\'e potentials for spin-1/2 fermionic atoms. Such reentrant topology from a trivial phase is absent without the moir\'e potential and can be understood as the renormalization of topological parameters by the moir\'e strength. We then unveil the critical exponent and localization properties of the single-particle eigenstates. The periodic spin density wave of many-body ground states is contributed by the moir\'e potential, and is enhanced by on-site interactions but suppressed by nearest-neighbor interactions. Our results enrich the topological physics with multiple transitions and spin-density orders in 1D moir\'e systems, and the realization of the proposed model is promising in near-future ultracold atom setups.