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Unconventional discontinuous transitions in a 2D system with spin and valley degrees of freedom

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arxiv 2406.04416 v1 pith:ZXZ53XDK submitted 2024-06-06 cond-mat.str-el

Zachary M. Raines , Leonid I. Glazman , Andrey V. Chubukov This is my paper
classification cond-mat.str-el
keywords systemtransitionanalyzebelowdegreesdiscontinuousdivergesfreedom
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abstract

We analyze the transition into the most favorable ordered state for a system of 2D fermions with spin and valley degrees of freedom. We show that for a range of rotationally invariant dispersions, the ordering transition is highly unconventional: the associated susceptibility diverges (or almost diverges) at the transition, yet immediately below it the system jumps discontinuously into a fully polarized state. We analyze the dispersion of the longitudinal and transverse collective modes in different parameter regimes above and below the transition. Additionally, we consider ordering in a system with full $\mathrm{SU(4)}$ symmetry and show that there is a cascade of discontinuous transitions into a set of states, which includes a quarter-metal, a half-metal and a three-quarter metal. We compare our results with the data for biased bilayer and tri-layer graphene.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Superconductivity via paramagnon and magnon exchange in a 2D near-ferromagnetic full metal and ferromagnetic half-metal

    cond-mat.supr-con 2025-06 conditional novelty 8.0 of 10

    In a 2D model with a short-range repulsion, the fully spin-polarized half-metal phase has an attractive odd-parity pairing interaction from two-magnon exchange, with a pairing scale possibly reaching a substantial fra...

  2. Superconductivity induced by spin-orbit coupling in a two-valley ferromagnet

    cond-mat.supr-con 2025-06 conditional novelty 7.0 of 10

    In a canted ferromagnet with Ising spin-orbit coupling, two-magnon processes generate an attractive, SOC-induced pairing interaction that may drive superconductivity despite static repulsion.

  3. Magnon-Mediated Superconductivity in a 2D Itinerant Ferromagnet with Weak Easy-plane Magnetic Anisotropy

    cond-mat.supr-con 2026-07 conditional novelty 6.0 of 10

    Weak easy-plane anisotropy generates attractive equal-spin p-wave pairing via two-magnon exchange in a 2D half-metal, with λp enhanced to O(1) near the ferromagnetic onset.

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