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SU(2) gauge theory of the pseudogap phase in the two-dimensional Hubbard model

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arxiv 2207.00829 v1 pith:WRHHZB2K submitted 2022-07-02 cond-mat.str-el cond-mat.supr-con

Pietro M. Bonetti , Walter Metzner This is my paper · ORCID
classification cond-mat.str-elcond-mat.supr-con
keywords magneticorderhubbardmodelphasespintheorychargons
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abstract

We present a SU(2) gauge theory of fluctuating magnetic order in the two-dimensional Hubbard model. The theory is based on a fractionalization of electrons in fermionic chargons and bosonic spinons. The chargons undergo N\'eel or spiral magnetic order below a density dependent transition temperature $T^*$. Fluctuations of the spin orientation are described by a non-linear sigma model obtained from a gradient expansion of the spinon action. The spin stiffnesses are computed from a renormalization group improved random phase approximation. Our approximations are applicable for a weak or moderate Hubbard interaction. The spinon fluctuations prevent magnetic long-range order of the electrons at any finite temperature. The phase with magnetic chargon order exhibits many features characterizing the pseudogap regime in high-$T_c$ cuprates: a strong reduction of charge carrier density, a spin gap, Fermi arcs, and electronic nematicity.

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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. Yamaji effect in models of underdoped cuprates

    cond-mat.str-el 2025-10 conditional novelty 6.0 of 10

    FL* theory (p/8 pockets) reproduces the observed Yamaji ADMR in HgBa2CuO4+δ, while even the best-case SDW theory (Q=(π,π,0), p/4 pockets) predicts an extra, unobserved Yamaji peak at φ=45°.

  2. Lectures on insulating and conducting quantum spin liquids

    cond-mat.str-el 2025-12 unverdicted novelty 3.0 of 10

    The notes argue that the FL* state — small pockets plus a quantized spin-liquid anomaly — resolves the ADMR pocket and v_F >> v_Delta problems that defeated holon-metal and plain fermionic-parton theories of the cuprates.

  3. The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions

    cond-mat.str-el 2025-01 conditional novelty 3.0 of 10

    The paper attributes the cuprate 'foot' to a disordered spin-density-wave transition and the 'fan' to a disorder-tuned FL-to-FL* Fermi-volume-changing transition described by a two-dimensional Yukawa-SYK model.

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