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Phase Diagram and Magnetic Excitations of BaFe2-xNixAs2: A Neutron Scattering Study PDF

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Springer Theses Recognizing Outstanding Ph.D. Research Xingye Lu Phase Diagram and Magnetic Excitations of BaFe Ni As : A 2–x x 2 Neutron Scattering Study Springer Theses Recognizing Outstanding Ph.D. Research Aims and Scope The series “Springer Theses” brings together a selection of the very best Ph.D. theses from around the world and across the physical sciences. Nominated and endorsed by two recognized specialists, each published volume has been selected foritsscientificexcellenceandthehighimpactofitscontentsforthepertinentfield of research. For greater accessibility to non-specialists, the published versions includeanextendedintroduction,aswellasaforewordbythestudent’ssupervisor explainingthespecialrelevanceoftheworkforthefield.Asawhole,theserieswill provide a valuable resource both for newcomers to the research fields described, and for other scientists seeking detailed background information on special questions. Finally, it provides an accredited documentation of the valuable contributions made by today’s younger generation of scientists. Theses are accepted into the series by invited nomination only and must fulfill all of the following criteria (cid:129) They must be written in good English. (cid:129) ThetopicshouldfallwithintheconfinesofChemistry,Physics,EarthSciences, Engineeringandrelatedinterdisciplinary fields such asMaterials,Nanoscience, Chemical Engineering, Complex Systems and Biophysics. (cid:129) The work reported in the thesis must represent a significant scientific advance. (cid:129) Ifthethesisincludespreviouslypublishedmaterial,permissiontoreproducethis must be gained from the respective copyright holder. (cid:129) They must have been examined and passed during the 12 months prior to nomination. (cid:129) Each thesis should include a foreword by the supervisor outlining the signifi- cance of its content. (cid:129) The theses should have a clearly defined structure including an introduction accessible to scientists not expert in that particular field. More information about this series at http://www.springer.com/series/8790 Xingye Lu Phase Diagram and Magnetic Excitations of BaFe Ni As : −x x 2 2 A Neutron Scattering Study Doctoral Thesis accepted by University of Chinese Academy of Sciences, Beijing, China 123 Author Supervisor Dr. Xingye Lu Prof. Pengcheng Dai Centerfor AdvancedQuantum Studies Department ofPhysics andAstronomy andDepartmentof Physics RiceUniversity Beijing NormalUniversity Houston Beijing USA China ISSN 2190-5053 ISSN 2190-5061 (electronic) SpringerTheses ISBN978-981-10-4997-2 ISBN978-981-10-4998-9 (eBook) DOI 10.1007/978-981-10-4998-9 LibraryofCongressControlNumber:2017944213 ©SpringerNatureSingaporePteLtd.2017 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerNatureSingaporePteLtd. Theregisteredcompanyaddressis:152BeachRoad,#21-01/04GatewayEast,Singapore189721,Singapore ’ Supervisor s Foreword The discovery of superconductivity in Fe-based materials in 2008 boosted the researchesinhigh-Tc superconductivity.Althoughthehigh-Tc superconductivityin copper oxides (cuprates) was discovered in 1986, no consensus has been achieved on the microscopic mechanism in spite of considerable efforts. The discovery of Fe-based superconductors (FeSC) provided a new route to high-Tc superconduc- tivity. Since superconductivity in both cuprates and FeSC arises from doped antiferromagnets, unveiling the interplay between superconductivity and magnetic order, spin dynamics, and related exotic phases are essential for understanding the microscopic origin of high-Tc superconductivity. The aim of this thesis is to reveal this interplay between superconductivity and other orders and their dynamics in a specific electron-doped iron-pnictide system BaFe2−xNixAs2. Using high-resolution X-ray diffraction, neutron diffraction, and inelastic neutron scattering (INS), Xingye Lu studied the phase diagram and the spin excitations of BaFe2−xNixAs2. In his first work (Chap. 4), he used high-resolution X-ray and neutron diffraction to establish a detailed structural, magnetic, and electronic phase diagram of BaFe2−xNixAs2. The magnetic and orthorhombic structural order parameters reveal a strong magnetoelastic coupling, which was expected to lead to a quantum bicritical point near optimal doping. However, the emergence of an incommensurate antiferromagnetic order close to optimal superconductivity strongly modifies the electronic properties and pre- empted the purported quantum critical point. This work clarifies the quantum criticality and its connection to superconductivity in electron-doped BaFe As 2 2 systems. To further investigate the nature of the short-range incommensurate magneticorder,heexploitedneutronresonancespin-echotechnique,cold,thermal, and polarized neutron triple-axis spectrometers to study the slow dynamics of the incommensurate magnetic order, and determined its cluster spin glass nature (Chap. 5). These two works have settled the doping evolution of the magnetic ground states and their effects on the electronic properties of this system. After determining the phase diagram of BaFe2−xNixAs2, Xingye used INS to investigate the newly discovered electronic nematic order located between Ts and TN (Ts[TN)inthephasediagram(Chap. 6).Thisstudyisdifficultbecauseitwill v vi Supervisor’sForeword need to be performed on large detwinned crystals (*0.2 g). After putting great efforts,hedevelopedamethodtopreparesampleanddesignedadetwinningdevice thatcandetwinlargesinglecrystal.HisINSstudiesonBaFe2−xNixAs2findthatthe low-energyspinexcitationsevolvefromC symmetry(withequalintensityforthe 4 excitations at (1, 0, 1) and (0, 1, 1)) to C symmetry (with intensity difference 2 between the excitations at (1,0,1) and (0, 1, 1)). The onset temperature of this spin-excitation anisotropy (T(cid:1)) is well above Ts and coincident with that for the resistivity anisotropy of uniaxial-stress detwinned BaFe2−xNixAs2. They also show similardopingdependenceandthereforeindicatethattheyareintimatelycorrelated or share the same origin. This is the first study of this type and inspired many follow-up works. In the third part of this thesis, he unveiled the direct correlation between low-energy spin excitations (including spin resonance) and superconductivity, and the persistence of the diffusive high-energy spin excitations (paramagnon) throughout the phase diagram, using the state-of-art time-of-flight neutron scatter- ing spectrometers in ISIS (Chap. 7). This work provided solid evidence that the low-energy spin excitations are correlated with the formation of cooper pairs. The systematic work was based on large amount of single crystals (*100 g of single crystals in total for three dopings) and careful INS experiments. This impressive samplegrowthworkwasdonewithinseveralmonthsbyXingyeandhiscolleagues. Besides the important discoveries discussed above, this thesis contains a brief introduction to FeSC and a relative detailed introduction to the principles and techniques associated with neutron scattering. Both parts are easy to follow by non-experts. Overall, the work of Xingye has broadened considerably our under- standing of the interplay between magnetism and superconductivity in FeSC. Through his dedication, patience, and hard work, he was able to accomplish a tremendousamountofworkwithinarelativelyshortperiod.Ibelievehisthesissets a new standard of excellence in condensed matter physics and will be appreciated for many years to come. Houston, USA Prof. Pengcheng Dai April 2017 Publications Associated with This Thesis Xingye Lu, Jitae Park, Rui Zhang, Huiqian Luo, A.H. Nevidomskyy, Qimiao Si and Pengcheng Dai. Nematic spin correlations in the tetragonal state of uniaxial strained BaFe2−xNixAs2. Science 345, 657–660 (2014). Xingye Lu, David W. Tam, Chenglin Zhang, Huiqian Luo, Meng Wang, Rui Zhang, Leland W. Harriger, T. Keller, B. Keimer, L.-P. Regnault, Thomas A. Maier, and Pengcheng Dai. Short-range cluster spin glass near optimal super- conductivity in BaFe2−xNixAs2. Phys. Rev. B 90(2), 024509 (2014). MengWang*,ChenglinZhang*,XingyeLu*,GuotaiTan,HuiqianLuo,YuSong, Miaoyin Wang, Xiaotian Zhang, E.A. Goremychkin, T.G. Perring, T.A. Maier, Zhiping Yin, Kristjan Haule, Gabriel Kotliar, and Pengcheng Dai. Doping depen- dence of spin excitations and its correlations with high-temperature superconduc- tivity in iron pnictides. Nature Communications 4, 2874 (2013). XingyeLu,H.Gretarsson,RuiZhang,XuerongLiu,HuiqianLuo,WeiTian,Mark Laver,Z.Yamani,Young-JuneKim,A.H.Nevidomskyy,QimiaoSi,andPengcheng Dai. Avoided quantum criticality and magnetoelastic coupling in BaFe2−xNixAs2. PhysicalReviewLetters110(25),257001(2013). Huiqian Luo*, Xingye Lu*, Rui Zhang, Meng Wang, E.A. Goremychkin, D.T. Adroja, Sergey Danilkin, Guochu Deng, Zahra Yamani, and Pengcheng Dai. Electron doping evolution of the magnetic excitations in BaFe2−xNixAs2. Physical Review B 88(14), 144516(2013). vii Acknowledgements I wish to express my sincere thanks and appreciation to my supervisor Prof.PengchengDai.Ihavebeendeeplyinfluencedbyhispassionanddiligencein doing science. The atmosphere of freedom for discussions and the chances for doingneutronscatteringexperimentsprovidedbyPengcheng,whichIenjoyedvery much, are the most important factors leading to my dissertation and publications. I would like tothank Dr. Huiqian Luo and Dr. Shiliang Lifor bringingme into the SC08 group and teaching me sample growth and various neutron scattering techniques.Ithankmycolleaguesinourgroup,Dr.XiaoyanMa,Dr.MengWang, RuiZhang,DingHu,YanchaoChen,WenliangZhang,ZhaoyuLiu,andDongliang Gong, who give me help in preparing samples or doing neutron scattering exper- iments.IalsothankDr.LelandHarriger,Dr.MiaoyinWang,Dr.MengshuLiu,and YuSongfortheirhelpduringmyvisittotheUniversityofTennesseeatKnoxville. I also owe special thanks to Dr. Jitae Park, Prof. Toby Perring, Dr. Russell Ewing,Dr.DevashibhaiAdroja,Dr.WeiTian,Dr.ZahraYamani,Dr.MarkLaver, Dr. Thomas Keller, and Mr. Kuo-Feng Tseng, for their help during my neutron scatteringexperimentsattheMLZ,ISIS,HFIR,C5,andSINQneutronsources.The collaborations with Jitae, Kuo-Feng, and Thomas are very fruitful, which I appreciate very much. Last but not least, I would like to thank my wife and my parents for their unfailing support during my Ph.D. years, without which all the works I have done could not be possible. ix Contents 1 Motivation and Overview.. ..... .... .... .... .... .... ..... .. 1 1.1 Superconductivity. .... ..... .... .... .... .... .... ..... .. 1 1.2 Scope of This Thesis.. ..... .... .... .... .... .... ..... .. 3 References .. .... .... .... ..... .... .... .... .... .... ..... .. 5 2 Iron-Based Superconductors .... .... .... .... .... .... ..... .. 9 2.1 Basic Properties.. .... ..... .... .... .... .... .... ..... .. 10 2.1.1 Structure and Magnetic Structure .... .... .... ..... .. 10 2.1.2 Electronic Structure .. .... .... .... .... .... ..... .. 14 2.2 Phase Diagrams.. .... ..... .... .... .... .... .... ..... .. 15 2.2.1 Spin Density Wave... .... .... .... .... .... ..... .. 17 2.2.2 Superconductivity and Fermi Surface Nesting .. ..... .. 19 2.2.3 Coexisting and Competing Orders ... .... .... ..... .. 21 References .. .... .... .... ..... .... .... .... .... .... ..... .. 23 3 Neutron Scattering ... .... ..... .... .... .... .... .... ..... .. 29 3.1 Historical Overview... ..... .... .... .... .... .... ..... .. 29 3.2 Principles... .... .... ..... .... .... .... .... .... ..... .. 30 3.2.1 Cross Section.. ..... .... .... .... .... .... ..... .. 31 3.2.2 Nuclear Scattering ... .... .... .... .... .... ..... .. 33 3.2.3 Magnetic Interactions and Elastic Magnetic Scattering .... 34 3.2.4 Coherent Inelastic Magnetic Scattering.... .... ..... .. 36 3.2.5 Dynamic Structure Factor SðQ;x) and Generalized Susceptibility v00(Q, x).... .... .... .... .... ..... .. 37 3.3 Neutron Scattering Spectrometry .. .... .... .... .... ..... .. 38 3.3.1 Triple-Axis Spectrometry .. .... .... .... .... ..... .. 38 3.3.2 Time-of-Flight Spectrometry.... .... .... .... ..... .. 42 References .. .... .... .... ..... .... .... .... .... .... ..... .. 49 xi

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