Physics of $\pi$-Meson Condensation and High Temperature Cuprate Superconductors

TL;DR

This paper draws an analogy between $$-meson condensation in nuclear matter and magnon condensation in high-temperature cuprate superconductors, emphasizing the role of quantum fluctuations in phase transitions.

Contribution

It establishes a theoretical connection between $$-meson condensation and magnon condensation in cuprates, highlighting the significance of quantum fluctuations in these phenomena.

Findings

Magnon condensation observed in cuprates.

Quantum fluctuations drive a quantum phase transition.

Analogy between $$-meson and magnon condensation.

Abstract

The idea of condensation of the Goldstone $\pi$-meson field in nuclear matter had been put forward a long time ago. However, it was established that the normal nuclear density is too low, it is not sufficient to condensate $\pi$-mesons. This is why the $\pi$-condensation has never been observed. Recent experimental and theoretical studies of high temperature cuprate superconductors have revealed condensation of Goldstone magnons, the effect fully analogous to the $\pi$-condensation. The magnon condensation has been observed. It is clear now that quantum fluctuations play a crucial role in the condensation, in particular they drive a quantum phase transition that destroys the condensate at some density of fermions.