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

T. Kloss
• Function : Author
X. Montiel
• Function : Author
C. Pépin
• Function : Author

#### 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.

#### Domains

Physics [physics]

### Dates and versions

cea-01337194 , version 1 (24-06-2016)

### Identifiers

• HAL Id : cea-01337194 , version 1
• ARXIV :

### Cite

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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