{"title":"RENORMALIZATION GROUP APPROACHES TO FRUSTRATED MAGNETS IN d = 3","authors":"B. Delamotte, D. Mouhanna, M. Tissier","doi":"10.1142/9789811214141_0003","DOIUrl":"https://doi.org/10.1142/9789811214141_0003","url":null,"abstract":"","PeriodicalId":229491,"journal":{"name":"Frustrated Spin Systems","volume":"46 24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116920933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"FRUSTRATION — EXACTLY SOLVED FRUSTRATED MODELS","authors":"H. Diep, H. Giacomini","doi":"10.1142/9789812567819_0001","DOIUrl":"https://doi.org/10.1142/9789812567819_0001","url":null,"abstract":"After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex models. We show that these systems contain most of the spectacular effects due to the frustration: high ground-state degeneracy, existence of several phases in the ground-state phase diagram, multiple phase transitions with increasing temperature, reentrance, disorder lines, partial disorder at equilibrium. Evidences of such effects in non solvable models are also shown and discussed.","PeriodicalId":229491,"journal":{"name":"Frustrated Spin Systems","volume":"229 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115246802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SPIN ICE","authors":"M. Gingras","doi":"10.1142/9789814440745_0007","DOIUrl":"https://doi.org/10.1142/9789814440745_0007","url":null,"abstract":"Geometric frustration usually arises in systems that comprise magnetic moments (spins) which reside on the sites of a lattice made up of elementary triangular or tetrahedral units and which interact via antiferromagnetic nearest-neighbor exchange. Albeit much less common, geometric frustration can also arise in systems with strong non-collinear single-ion easy-axis (Ising-like) anisotropy and ferromagnetically coupled spins. This is what happens in some pyrochlore oxide materials where Ising-like magnetic rare earth moments (Ho, Dy) sit on a lattice of corner-shared tetrahedra and are coupled via effectively ferromagnetic (dipolar) interactions. These systems possess a macroscopic number of quasi-degenerate classical ground states and display an extensive low-temperature entropy closely related to the extensive proton disorder entropy in common water ice. For this reason, these magnetic systems are called spin ice. This chapter reviews the essential ingredients of spin ice phenomenology in magnetic pyrochlore oxides.","PeriodicalId":229491,"journal":{"name":"Frustrated Spin Systems","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132335155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"PHASE TRANSITIONS IN FRUSTRATED VECTOR SPIN SYSTEMS: NUMERICAL STUDIES","authors":"D. Loison","doi":"10.1142/9789812567819_0004","DOIUrl":"https://doi.org/10.1142/9789812567819_0004","url":null,"abstract":"We present in this chapter a review on recent numerical studies dealing with frustrated vector spin systems in two and three dimensions.","PeriodicalId":229491,"journal":{"name":"Frustrated Spin Systems","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125313432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"TWO-DIMENSIONAL QUANTUM ANTIFERROMAGNETS","authors":"G. Misguich, C. Lhuillier","doi":"10.1142/9789812567819_0005","DOIUrl":"https://doi.org/10.1142/9789812567819_0005","url":null,"abstract":"This review presents some theoretical advances in the field of quantum magnetism in two-dimensional systems, and quantum spin liquids in particular. It is to be published as a chapter in the second edition of the book \"Frustrated spin systems\", edited by H. T. Diep (World-Scientific). The section (Sec. 7) devoted to the kagome antiferromagnet has been completely rewritten/updated, as well as the concluding section (Sec. 8). The other sections (Secs. 1-6) are unchanged from the first edition of the book (published in 2005)","PeriodicalId":229491,"journal":{"name":"Frustrated Spin Systems","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124002727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ONE-DIMENSIONAL QUANTUM SPIN LIQUIDS","authors":"P. Lecheminant","doi":"10.1142/9789814440745_0006","DOIUrl":"https://doi.org/10.1142/9789814440745_0006","url":null,"abstract":"This chapter is intended as a brief overview of some of the quantum spin liquid phases with unbroken SU(2) spin symmetry available in one dimension. The main characteristics of these phases are discussed by means of the bosonization approach. A special emphasis is laid on the interplay between frustration and quantum fluctuations in one dimension.","PeriodicalId":229491,"journal":{"name":"Frustrated Spin Systems","volume":"2014 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128198365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"PROPERTIES AND PHASE TRANSITIONS IN FRUSTRATED ISING SYSTEMS","authors":"O. Nagai, T. Horiguchi, S. Miyashita","doi":"10.1142/9789812567819_0002","DOIUrl":"https://doi.org/10.1142/9789812567819_0002","url":null,"abstract":"","PeriodicalId":229491,"journal":{"name":"Frustrated Spin Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132820780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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