Pair-density-wave superconductor from doping Haldane chain and rung-singlet ladder

Zhang, Ya-Hui; Vishwanath, Ashvin

doi:10.1103/physrevb.106.045103

Cited by 13 publications

(1 citation statement)

References 36 publications

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“…While phenomenological theories have been profusely used in the description of coarse-grained properties of PDWs (see Ref. [11] and references therein for a comprehensive review), microscopic theories have been mostly restricted to one dimensional systems [12][13][14][15][16][17], and systems in the strongcoupling regime [18][19][20][21][22]. Very few models have a weakcoupling PDW instability [23,24], including more recent models invoking renormalization group (RG) methods [25][26][27][28], but in all these models some degree of finetuning is required as the weak-coupling instability is not symmetry-protected in those cases.…”

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confidence: 99%

Triplet Pair-Density Wave Superconductivity on the $π$-flux Square Lattice

Shaffer¹,

Santos²

2022

Preprint

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Pair-density waves (PDW) are superconducting states that spontaneously break translation symmetry in systems with time-reversal symmetry (TRS). Evidence for PDW has been seen in several recent experiments, as well as in the pseudogap regime in cuprates. Theoretical understanding of PDW has been largely restricted to phenomenological and numerical studies, while microscopic theories typically require strong-coupling or fine-tuning. In this work, we provide a novel symmetry-based mechanism under which PDW emerges as a weak coupling instability of a 2D TRS metal. Combining mean-field and renormalization group analyses, we identify a weak-coupling instability towards a triplet PDW realized in the π-flux square lattice model with on-site repulsion and moderate nearestneighbor attraction when the Fermi level crosses Van Hove singularities at 1/4 and 3/4 fillings. This PDW is protected by the magnetic translation symmetries characteristic of Hofstadter systems, of which the π-flux lattice is a special time-reversal symmetric case.

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