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1、One-andtwo-dimensionalAndersonmodelwithlong-rangecorrelated-disorder一维和二维关联无序安德森模型One-andtwo-dimensionalAndersonmodelwithlong-rangecorrelated-disorderAndersonmodel-IntroductionEntanglementin1D2DEntanglement2Dconductance2Dtransmission2DmagnetoconductanceAndersonmodel-IntroductionW
2、hatisadisorderedsystem?Nolong-rangetranslationalorderTypesofdisorder(a)crystal(b)Componentdisorder(c)positiondisorder(d)topologicaldisorderdiagonaldisorderoff-diagonaldisordercompletedisorderLocalizationprediction:anelectron,whenplacedinastrongdisorderedlattice,willbeimmobile[1]P
3、.W.Anderson,Phys.Rev.109,1492(1958).Andersonmodel-IntroductionByP.W.Andersonin1958[1]Andersonmodel-IntroductionIn1983and1984Johnextendedthelocalizationconceptsuccessfullytotheclassicalwaves,suchaselasticwaveandopticalwave[1].Followingthepreviousexperimentalwork,TalSchwartzetal.re
4、alizedtheAndersonlocalizationwithdisorderedtwo-dimensionalphotoniclattices[2].[1]JohnS,SompolinskyHandStephenMJ1983Phys.Rev.B275592;JohnSandStephenMJ1983286358;JohnS1984Phys.Rev.Lett.532169[2]SchwartzTal,BartalGuy,FishmanShmuelandSegevMordechai2007Nature44652Andersonmodel-openpro
5、blemsAbrahansetal.’sscalingtheoryforlocalizationin1979[1](3000citations,oneofthemostimportantpapersincondensedmatterphysics)Predictions(1)nometal-insulatortransitionin2ddisorderedsystemsSupportedbyexperimentsinearly1980s.(2)(dephasingtime)ResultsofJ.J.Linin1987[2][1]E.Abrahans,P.
6、W.Anderson,D.C.LicciardelloandT.V.Ramakrisbnan,Phys.Rev.Lett.42,673(1979)[2]J.J.LinandN.Giorano,Phys.Rev.B35,1071(1987);J.J.LinandJ.P.Bird,J.Phys.:Condes.Matter14,R501(2002).ResultsofJ.J.Linin1987[2]dephasingtimeWorkofHuiXuetal.onsystemswithcorrelateddisorder:刘小良,徐慧,等,物理学报,55(5),
7、2493(2006);刘小良,徐慧,等,物理学报,55(6),2949(2006);徐慧,等,物理学报,56(2),1208(2007);徐慧,等,物理学报,56(3),1643(2007);马松山,徐慧,等,物理学报,56(5),5394(2007);马松山,徐慧,等,物理学报,56(9),5394(2007)。Andersonmodel-newpointsofview1。CorrelateddisorderCorrelationanddisorderaretwoofthemostimportantconceptsinsolidstatephysics
8、Power-lawcorrelateddisorderGaussiancorre