Spin glass phase in the four-state three-dimensional Potts model

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 18, 2009, Pages

  Cruz, A ^a   Fernandez, L A ^a,b   Gordillo Guerrero, A ^a,c   Guidetti, M ^d   Maiorano, A ^a,d   Mantovani, F ^d   Marinari, E ^e   Martin Mayor, V ^a,b   Sudupe, A Muñoz ^b   Navarro, D ^a   Parisi, G ^e   Perez Gaviro, S ^a   Ruiz Lorenzo, J J ^a,c   Schifano, S F ^d   Sciretti, D ^a   Tarancon, A ^a   Tripiccione, R ^d   Velasco, J L ^a   Yllanes, D ^a,b   Young, A P ^f  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^c UNIVERSITY OF EXTREMADURA   (Spain)

^d UNIVERSITY OF FERRARA   (Italy)

^e UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^f UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67650305226     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.184408     Document Type: Article

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35. Notice that the inverse critical temperatures for the p -state Potts glass model follow well the law: βc (p) p [e.g., βc (p=2) 2×0.90=1.80, the extra factor of two stems from the Potts representation of the Ising Spin Glass; βc (p=3) 2.65; and in this work βc (p=4) 4]. If this empirical law is accurate, we would expect βc (p=10) 10. This appears to contradict the conclusions of Refs., who argued that there is no transition for p=10. However, we note that virtually all the data in those papers is for values of β smaller than 10.