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One promising avenue to study one-dimensional ($1$D) topological phases is torealize them in synthetic materials such as cold atomic gases. Intriguingly, itis possible to realize Majorana boundary modes in a $1$D number-conservingsystem consisting of two fermionic chains coupled only by pair-hoppingprocesses. It is commonly believed that significant interchain single-particletunneling necessarily destroys these Majorana modes, as it spoils the$\mathbb{Z}_2$ fermion parity symmetry that protects them. In this Letter, wepresent a new mechanism to overcome this obstacle, by piercing a (synthetic)magnetic $\pi$-flux through each plaquette of the Fermi ladder. Usingbosonization, we show that in this case there exists an exact leg-interchangesymmetry that is robust to interchain hopping, and acts as fermion parity atlong wavelengths. We utilize density matrix renormalization group and exactdiagonalization to verify that the resulting model exhibits Majorana boundarymodes up to large single-particle tunnelings, comparable to the intrachainhopping strength. Our work highlights the unusual impacts of differenttopologically trivial band structures on these interaction-driven topologicalphases, and identifies a distinct route to stabilizing Majorana boundary modesin $1$D fermionic ladders.

Flux-Stabilized Majorana Zero Modes in Coupled One-Dimensional Fermi Wires