Absence of Replica Symmetry Breaking in a Region of the Phase Diagram of the Ising Spin Gla.pdfVIP

下载本文档

6
0
约1.11万字
约 6页
2017-04-09 发布于江苏
举报
版权申诉

Absence of Replica Symmetry Breaking in a Region of the Phase Diagram of the Ising Spin Gla.pdf

1、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。。
2、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
3、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。
4、该文档为VIP文档，如果想要下载，成为VIP会员后，下载免费。
5、成为VIP后，下载本文档将扣除1次下载权益。下载后，不支持退款、换文档。如有疑问请联系我们。
6、成为VIP后，您将拥有八大权益，权益包括：VIP文档下载权益、阅读免打扰、文档格式转换、高级专利检索、专属身份标志、高级客服、多端互通、版权登记。
7、VIP文档为合作方或网友上传，每下载1次，网站将根据用户上传文档的质量评分、类型等，对文档贡献者给予高额补贴、流量扶持。如果你也想贡献VIP文档。上传文档

Absence of Replica Symmetry Breaking in a Region of the Phase Diagram of the Ising Spin Gla

a r X i v : c o n d - m a t / 0 0 0 8 1 3 9 v 1 [ c o n d - m a t .d i s - n n ] 9 A u g 2 0 0 0 Absence of Replica Symmetry Breaking in a Region of the Phase Diagram of the Ising Spin Glass Hidetoshi Nishimori? and David Sherrington? ?Department of Physics, Tokyo Institute of Technology Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan ?Department of Physics, University of Oxford Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, UK Abstract. We prove that the distribution functions of magnetization and spin glass order parameter coincide on the Nishimori line in the phase diagram of the ±J Ising model in any dimension. This implies absence of replica symmetry breaking because the distribution function of magnetization consists only of two delta functions, suggesting the same simple structure for the distribution of spin glass order parameter. It then follows that the mixed (glassy) phase, where the ferromagnetic order coexists with complex phase space, should lie, if any, below the Nishimori line. We also argue that the AT line to mark the onset of RSB with a continous distribution of the spin glass order parameter, if any again, would start with an infinite slope from the multicritical point where paramagnetic, ferromagnetic and spin glass phases merge. INTRODUCTION Existence and characteristics of the spin glass phase are actively investigated for finite-dimensional random spin systems. Closely related is the problem of the mixed (glassy) ferromagnetic phase. If the mean-field picture applies to finite-dimensional systems, the ferromagnetic phase would split up into two regions, one with a simple structure (the replica-symmetric (RS) phase in the mean-field framework) and the other with a complex phase space (replica-symmetry broken (RSB) state). The boundary between these two phases would be the finite-dimensional counterpart of the AT (de Almeida-Thouless) line found for the infinite-range SK (Sherrington- Kirkpatrick) model. Investigations of these and rel