# Resonant Excitonic State as a new concept for the pseudo-gap formation in cuprate superconductors

Abstract : We propose a mechanism where the under-doped regime of cuprate superconductors is governed by an emergent SU(2) pseudo-spin symmetry connecting the $d$-wave superconducting state to a $d$-wave charge order. The specific SU(2) pairing fluctuations between the $d$-wave SC state and the charge sector lead to the formation of a new state of matter, where local patches of excitons are spontaneously generated and are responsible for the creation of Fermi arcs in the pseudo-gap phase of cuprate superconductors. In momentum space, each exciton patch is formed by a superposition of modulation wave vectors coming from the anti-nodal region. A form factor contrives the wave vectors to prefer the x and y axes, producing a typical checkerboard structure recently observed in the under-doped regime. When the amplitude of the new state vanishes, it becomes critical, and in this region a semiclassical Boltzmann calculation leads to a $T/\ln(T)$ scaling of the resistivity in three dimensions, which describes the strange-metal phase with its long-standing linear-$T$ resistivity anomaly.
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Cited literature [38 references]

https://hal-cea.archives-ouvertes.fr/cea-01337194
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Submitted on : Friday, June 24, 2016 - 4:04:22 PM
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1510.03038v4.pdf
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• HAL Id : cea-01337194, version 1
• ARXIV : 1510.03038

### Citation

T. Kloss, X. Montiel, C. Pépin. Resonant Excitonic State as a new concept for the pseudo-gap formation in cuprate superconductors. 2015. ⟨cea-01337194⟩

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