Majorana physics in a Luttinger liquid with attractive interactions

• URL: http://arxiv.org/abs/2607.06751v1
• Date: Tue, 07 Jul 2026 19:32:23 GMT
• Title: Majorana physics in a Luttinger liquid with attractive interactions
• Abstract summary: Majorana zero modes are the hallmark of topological superconductivity.<n>In one-dimensional systems, these zero modes are usually introduced in the context of gapped, mean-field models.<n>We show that signatures of Majorana edge physics persist in a number-conserving, gapless Luttinger liquid.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Majorana zero modes are the hallmark of topological superconductivity. In one-dimensional systems, these zero modes are usually introduced in the context of gapped, mean-field models that do not conserve particle number, such as the Kitaev chain. By non-locally encoding a conventional fermion across spatially separated Majorana zero modes, these systems become inherently immune to local decoherence. In this work, we show that signatures of Majorana edge physics persist in a number-conserving, gapless Luttinger liquid of spinless fermions with short-range attractive interactions. We identify the two-point correlator as a sharp diagnostic, revealing an edge-to-edge revival whose sign depends on the fermion-number parity. This revival is robust in the thermodynamic limit, and persists in the excited states of the system and at different fillings. A simple particle-hole ansatz for the ground state of the system with an odd number of fermions captures the physics of the system for a wide range of interaction strengths, interpolating between the free-fermion limit and the strongly interacting Majorana regime. Finally, we propose a concrete protocol to realize this model with ultracold dipolar molecules or atoms in an optical lattice, and to detect the revival via beam-splitter interferometry, opening an experimental route to Majorana physics beyond the conventional gapped-superconductor paradigm.

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