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arXiv · 2606.26222

The fate of odd-parity magnetism in one dimension

Kasper Rettedal Eikeland·Sondre Duna Lundemo·Asle Sudbø
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Abstract

We consider a one-dimensional model for a $p$-wave magnet within the bosonization framework. The model consists of itinerant electrons described by an extended Hubbard model coupled to a chain of localized moments through the Kondo exchange. The classical ground state of the local-moment system captures the salient features of an odd-parity magnet. By bosonizing the coupled system, a description in terms of coupled Luttinger liquids follows, giving rise to a rich weak-coupling phase diagram. It is shown that the spin chain develops quasi long-range order consistent with the combined time-reversal and translation symmetry defining the $p$-wave magnet. We highlight the peculiar role played by this order in establishing a commensurability condition on the electronic filling under which additional interactions appear in the bosonic field theory. It is demonstrated that these interactions endow the electron spectral function with a pronounced $p$-wave character. Away from commensurate filling, these interactions are rendered irrelevant and the ensuing $p$-wave character is lost.

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Kasper Rettedal Eikeland, Sondre Duna Lundemo, Asle Sudbø. 2026-06-24. The fate of odd-parity magnetism in one dimension. https://arxiv.org/abs/2606.26222

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