Spin glass behavior upon diluting frustrated magnets and spin liquids: a Bethe-Peierls treatment

TL;DR

This paper uses a Bethe-Peierls approach to study how dilution affects frustrated magnets and spin liquids, revealing the emergence of spin glass phases and complex phase boundaries near critical points.

Contribution

It introduces a Bethe-Peierls treatment for dilution in frustrated systems, uncovering reentrant spin glass phases and extending the phase diagram analysis.

Findings

Spin glass phase appears at low temperatures near the percolation point.

Reentrant spin glass behavior inside the ferromagnetic phase.

Minimal ordering from disorder observed in spin liquid states.

Abstract

A Bethe-Peierls treatment to dilution in frustrated magnets and spin liquids is given. A spin glass phase is present at low temperatures and close to the percolation point as soon as frustration takes a finite value in the dilute magnet model; the spin glass phase is reentrant inside the ferromagnetic phase. An extension of the model is given, in which the spin glass / ferromagnet phase boundary is shown not to reenter inside the ferromagnetic phase asymptotically close to the tricritical point whereas it has a turning point at lower temperatures. We conjecture similar phase diagrams to exist in finite dimensional models not constraint by a Nishimori's line. We increase frustration to study the effect of dilution in a spin liquid state. This provides a ``minimal'' ordering by disorder from an Ising paramagnet to an Ising spin glass.