# Coexistence of $\Theta_{II}$-loop-current order with checkerboard d-wave CDW/PDW order in a hot-spot model for cuprate superconductors

Abstract : We investigate the strong influence of the $\Theta_{II}$-loop-current order on both unidirectional and bidirectional d-wave charge-density-wave/pair-density-wave (CDW/PDW) composite orders along axial momenta $(\pm Q_0,0)$ and $(0,\pm Q_0)$ that emerge in an effective hot spot model departing from the three-band Emery model relevant to the phenomenology of the cuprate superconductors. This study is motivated by the compelling evidence that the $\Theta_{II}$-loop-current order described by this model may explain groundbreaking experiments such as spin-polarized neutron scattering performed in these materials. Here, we demonstrate, within a saddle-point approximation, that the $\Theta_{II}$-loop-current order clearly coexists with bidirectional (i.e. checkerboard) d-wave CDW and PDW orders along axial momenta, but is visibly detrimental to the unidirectional (i.e. stripe) case. This result has potentially far-reaching implications for the physics of the cuprates and agrees well with very recent x-ray experiments on YBCO that indicate that at higher dopings the CDW order has indeed a tendency to be bidirectional.
Document type :
Journal articles

https://hal-cea.archives-ouvertes.fr/cea-01469427
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Submitted on : Thursday, February 16, 2017 - 2:31:53 PM
Last modification on : Monday, December 13, 2021 - 9:16:05 AM

### Citation

Vanuildo S. de Carvalho, Catherine Pépin, Hermann Freire. Coexistence of $\Theta_{II}$-loop-current order with checkerboard d-wave CDW/PDW order in a hot-spot model for cuprate superconductors. Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2016, 93 (11), pp.115144. ⟨10.1103/PhysRevB.93.115144⟩. ⟨cea-01469427⟩

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