Interwoven long-range order induced by random fields

Jeremiah Bender; Thomas Vojta

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arXiv · 2607.10337

Interwoven long-range order induced by random fields

Jeremiah Bender·Thomas Vojta

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Abstract

We propose a distinct type of long-range ordered phase that can occur in classical and quantum many-particle systems. It is induced by impurities and defects that locally break a subset of the order-parameter symmetries, i.e., by random-field disorder that couples to a composite vestigial order parameter. The proposed ``implectic'' phase is characterized by spontaneous symmetry breaking on the background of the spatially interwoven domain structure created by the random fields. We explicitly demonstrate the existence of this phase in a layered $J_1-J_2$ Ising magnet by means of large-scale Monte Carlo simulations. We then discuss numerous potential applications in systems featuring charge and spin density wave order including frustrated magnets, cuprate and iron-based superconductors, and ultracold atoms.

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cond-mat.dis-nn cond-mat.stat-mech cond-mat.str-el cond-mat.supr-con

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Jeremiah Bender, Thomas Vojta. 2026-07-11. Interwoven long-range order induced by random fields. https://arxiv.org/abs/2607.10337

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