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Theory of Intertwined Orders in High Temperature Superconductors

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arxiv 1407.4480 v3 pith:KCYPZSKO submitted 2014-07-16 cond-mat.supr-con cond-mat.str-el

Eduardo Fradkin , Steven A. Kivelson , John M. Tranquada This is my paper · ORCID
classification cond-mat.supr-concond-mat.str-el
keywords orderscomplexityevenhighintertwinedmanyphasesrelation
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The electronic phase diagrams of many highly correlated systems, and in particular the cuprate high temperature superconductors, are complex, with many different phases appearing with similar-sometimes identical-ordering temperatures even as material properties, such as a dopant concentration, are varied over wide ranges. This complexity is sometimes referred to as "competing orders." However, since the relation is intimate, and can even lead to the existence of new phases of matter such as the putative "pair-density-wave," the general relation is better thought of in terms of "intertwined orders." We selectively analyze some of the experiments in the cuprates which suggest that essential aspects of the physics are reflected in the intertwining of multiple orders-not just in the nature of each order by itself. We also summarize and critique several theoretical ideas concerning the origin and implications of this complexity.

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Cited by 5 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. Symmetry-Enforced Pair-Density Wave and Chiral Interband Superconductivity in Strongly Correlated Kagome Systems

    cond-mat.supr-con 2026-06 unverdicted novelty 5.0 of 10

    Symmetry-enforced PDW emerges at p-type vHS and chiral interband superconductivity stabilizes near p-m' vHS degeneracy in the extended t-J model on the Kagome lattice.

  3. 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.

  4. Fractionalized Fermi liquids and the cuprate phase diagram

    cond-mat.str-el 2025-08 unverdicted novelty 3.0 of 10

    Reviews the FL* theory for cuprates using ancilla layer models and SU(2) gauge theories to explain pseudogap hole pockets of area p/8, Fermi arcs, and transitions to d-wave superconductivity and Fermi liquid behavior.

  5. 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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