Phys. Rev. B 46, 14655–14661 (1992)The number of solutions of the Thouless-Anderson-Palmer equations for p-spin-interaction spin glassesReceived 20 April 1992; published in the issue dated 1 December 1992 The number 〈Ns〉 of solutions of the equations of Thouless, Anderson, and Palmer for p-spin-interaction spin glass models is calculated. Below a critical temperature Tc this number becomes exponentially large, as it is in the Sherrington-Kirkpatrick model (p=2). But in contrast to this, for any p>2 the factor α(T)=N-1ln〈Ns〉 jumps discontinuously at Tc(p), which is consistent with the discontinuity occurring within the mean-field theory for these models. For zero temperature the results obtained by Gross and Mézard are reproduced, and for p→∞ one gets the result for the random energy model. © 1992 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.46.14655
DOI:
10.1103/PhysRevB.46.14655
PACS:
75.10.Nr, 75.50.Lk
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.