# Physicists uncover hidden Zeeman field in odd-parity magnets in analytical model

- Published: 2026-11-07 03:58 UTC
- Section: Science › Physics
- Tags: odd parity magnets, hidden Zeeman field, topological superconductivity, Majorana edge states, Physical Review Letters, spin splitting
- URL: https://realtech.media/news/rt-79352d1854c6db027ec0a543_physicists_uncover_hidden/

**Researchers revealed that intrinsic time-reversal symmetry breaking enables robust field-free topological superconductivity in odd-parity magnets.**

![Physicists uncover hidden Zeeman field in odd-parity magnets in analytical model](https://realtech.media/media/2026/11/4d9a965e2a30edd8.jpg)
*U.S. Department of Energy from United States, Wikimedia Commons, Public domain*

Physicists from the High Magnetic Field Laboratory of the Hefei Institutes of Physical Science and the Hong Kong University of Science and Technology have demonstrated that odd-parity magnets universally host a hidden Zeeman field [1]. The study, published in Physical Review Letters, showed that this internal field arises directly from the intrinsic breaking of time-reversal symmetry inherent to magnetic order [1]. Using an analytical model of an f-wave magnet on a triangular lattice, the researchers explained how this phenomenon reshapes the material's band structure and enables topological superconductivity without requiring external magnetic fields [1].

## Mechanism of band structure reshaping

Conventional approaches to topological superconductors rely on external magnetic fields, which often suppress superconductivity and leave topological phases vulnerable to disorder [1]. In odd-parity magnets, the band structure is shaped by two distinct phenomena: nonrelativistic spin splitting and the hidden Zeeman field [1]. The nonrelativistic spin splitting originates microscopically from an emergent gauge field, manifesting as a real-space spin loop-current order [1]. Meanwhile, the hidden Zeeman field directly lifts Kramers degeneracy at time-reversal-invariant momenta and induces Zeeman splitting reaching hundreds of millielectronvolts [1].

## Stabilization of topological phases

Self-consistent mean-field calculations revealed that electron-volt-scale nonrelativistic spin splitting locks spin polarization perpendicular to the hidden Zeeman field [1]. This interaction generates a protection mechanism analogous to Ising superconductivity, allowing conventional s-wave superconductivity to coexist with the strong internal Zeeman field beyond the Pauli limit [1]. By introducing s-wave pairing into this system, the team engineered several topological superconducting phases [1]. According to the researchers, these phases host distinct Majorana boundary modes, including unidirectional Majorana edge states and Majorana flat bands, establishing odd-parity magnets as a platform for fault-tolerant quantum computing systems [1].

## Sources

1. [Physical Review Letters](https://doi.org/10.1103/j9m4-386b)
2. [EurekAlert](https://www.eurekalert.org/news-releases/1150852)

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Source: RealTech, realtech.media — https://realtech.media/news/rt-79352d1854c6db027ec0a543_physicists_uncover_hidden/