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## Pseudo-spin Skyrmions in the Phase Diagram of Cuprate Superconductors

Corentin Morice
• Function : Author
Debmalya Chakraborty
• Function : Author
Xavier Montiel
• Function : Author
Catherine Pépin
• Function : Author

#### Abstract

Topological states of matter are at the root of some of the most fascinating phenomena in condensed matter physics. Here we argue that skyrmions in the pseudo-spin space related to an emerging SU(2) symmetry enlighten many mysterious properties of the pseudogap phase in under-doped cuprates. We detail the role of the SU(2) symmetry in controlling the phase diagram of the cuprates, in particular how a cascade of phase transitions explains the arising of the pseudogap, superconducting and charge modulation phases seen at low temperature. We specify the structure of the charge modulations inside the vor-tex core below $T_c$ , as well as in a wide temperature region above $T_c$ , which is a signature of the skyrmion topological structure. We argue that the underlying SU(2) symmetry is the main structure controlling the emergent complexity of excitations at the pseudogap scale $T^*$. The theory yields a gapping of a large part of the anti-nodal region of the Brillouin zone, along with $q = 0$ phase transitions, of both nematic and loop currents characters.

#### Domains

Physics [physics]

### Dates and versions

cea-01709559 , version 1 (15-02-2018)

### Identifiers

• HAL Id : cea-01709559 , version 1
• ARXIV :

### Cite

Corentin Morice, Debmalya Chakraborty, Xavier Montiel, Catherine Pépin. Pseudo-spin Skyrmions in the Phase Diagram of Cuprate Superconductors. 2018. ⟨cea-01709559⟩

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