We investigate the zero-temperature glassy transitions in the square-lattice +/- J Ising model, with bond distribution P(J(xy)) = p delta(J(xy)-J) + (1-p)delta(J(xy)+J); p=1 and p=1/2 correspond to the pure Ising model and to the Ising spin glass with symmetric bimodal distribution, respectively. We present finite-temperature Monte Carlo simulations at p=4/5, which is close to the low-temperature paramagnetic-ferromagnetic transition line located at p approximate to 0.89, and at p=1/2. Their comparison provides a strong evidence that the glassy critical behavior that occurs for 1-p(0)<p<p(0), p(0)approximate to 0.897, is universal, i.e., independent of p. Moreover, we show that glassy and magnetic modes are not coupled at the multicritical zero-temperature point where the paramagnetic-ferromagnetic transition line and the T=0 glassy transition line meet. On the theoretical side we discuss the validity of finite-size scaling in glassy systems with a zero-temperature transition and a discrete Hamiltonian spectrum. Because of a freezing phenomenon which occurs in a finite volume at sufficiently low temperatures, the standard finite-size scaling limit in terms of TL(1/v) does not exist; the renormalization-group invariant quantity xi/L should be used instead as basic variable.

Universality of the glassy transitions in the two-dimensional +/- J Ising model

VICARI, ETTORE
2010

Abstract

We investigate the zero-temperature glassy transitions in the square-lattice +/- J Ising model, with bond distribution P(J(xy)) = p delta(J(xy)-J) + (1-p)delta(J(xy)+J); p=1 and p=1/2 correspond to the pure Ising model and to the Ising spin glass with symmetric bimodal distribution, respectively. We present finite-temperature Monte Carlo simulations at p=4/5, which is close to the low-temperature paramagnetic-ferromagnetic transition line located at p approximate to 0.89, and at p=1/2. Their comparison provides a strong evidence that the glassy critical behavior that occurs for 1-p(0)
Toldin, Fp; Pelissetto, A; Vicari, Ettore
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/138685
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 17
social impact