https://doi.org/10.1007/s100510050117
Spin glass behavior upon diluting frustrated magnets and spin liquids: a Bethe-Peierls treatment*
1
Centre de Recherches sur les Très Basses
Températures (CRTBT)U.P.R. 5001 du CNRS,
Laboratoire conventionné avec l'Université Joseph Fourier.,
CNRS, BP 166X, 38042 Grenoble Cedex, France
2
Laboratoire de PhysiqueU.M.R. CNRS 5672,
École Normale Supérieure de Lyon,
46, Allée d'Italie, 69364 Lyon Cedex 07, France
Received:
9
April
1999
Revised:
27
September
1999
Published online: 15 March 2000
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.
PACS: 61.43.-j – Disordered solids / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 64.60.Kw – Multicritical points
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000