DSpace
 

RRI Digital Repository >
07. Theoretical Physics >
Research Papers (TP) >

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1186

Title: Spin glasses in the limit of an infinite number of spin components
Authors: Lee, L.W.
Dhar, Abhishek
Young, A.P.
Issue Date: 28-Mar-2005
Publisher: The American Physical Society
Citation: Physical Review E, 2005, Vol.71, 036146
Abstract: We consider spin glass models in which the number of spin components m is infinite. In the formulation of the problem appropriate for numerical calculations proposed by several authors, we show that the order parameter defined by the long-distance limit of the correlation functions is actually zero and there is only "quasi-long-range order" below the transition temperature. Nonetheless, there can be a finite temperature phase transition where the decay of correlations changes from exponential to power law. We also show that the spin glass transition temperature is zero in three dimensions so power-law behavior only occurs at T=0 in this case. We also argue that the order of limits, m-->[infinity] and N-->[infinity] is important, where N is the number of spins.
URI: http://hdl.handle.net/2289/1186
ISSN: 1539-3755
1550-2376 (online)
Alternative Location: http://link.aps.org/abstract/PRE/v71/e036146
Copyright: (2005) by the American Physical Society
Appears in Collections:Research Papers (TP)

Files in This Item:

File Description SizeFormat
2005 PRE71a036146.pdf9p.694.43 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

    RRI Library DSpace