具有p波超流的一維非公度晶格中遷移率邊研究.pdf

1、具有P波超流的一維非公度晶格中遷移率邊研究TheStudyofMobilityEdgesinaOne—dimensionalIncommensurateModelWithPwaveSuperfluid劉通TongLiu導(dǎo)師：高先龍教授Supervisor：ProfXianlongGao浙江師范大學(xué)物理系DepartmentofPhysicsZhejiangNormalUniversity五月，2016May2016理論物理專業(yè)碩士學(xué)位論

2、文Thesis10|rtheMscDegreeinTheoreticalPhysicsAbstractThisthesisfocusesonthepropertiesofthemobilityedgesinaone—dimensionalPwavesuperfluidonincommensuratelatticesWefindthatinapwavesuperfluidsystem，thenumberofmobilityedgesinc

3、reaseswiththeincreasingsuperfiuidpairingorderparameterWeidentifythelocationofthemobilityedgesbyamultifractalanalysisInthefirstchapter，wemainlyintroducethebackgroundofthecoldatomicphysics，pwavesuperfluidandonedimensionald

4、isordersystemsInthemeanwhile，wedetailsomeoftheconceptinthecoldatomsystemsandtheimportantdevelopmentsinthecoldatomicfieldinrecentyearsInthesecondchapter，wemainlyintroducethebackgroundoftheone—dimensionalKitaevchain，thecon

5、ceptoftheMajoranafermions，andthetopo—logicalphasetransitionInthethirdchapter，wemainlyintroducethebackgroundofthedisordersystemincondensedmatterphysicsThemaincontentaretheAndersonlocal—ization，thephasetransitionoftheonedi

6、mensionalincommensuratelattice(theAubryAndremodel)，andfinallythemobilityedgeoftheonedimensionalincommensuratelatticesInthefourthchapter，wecombinetheone—dimensionalKitaevchainandtheonedimensionalincommensuratelattices，whe

7、remobflityedgesexist，andfocusonhowapwavesuperfluidaffectsthemobilityedgesoftheonedimensionalincommensuratelatticesFinallyweidentifythelocationofthemobilityedgesbyamultifractalanalysisFinallyasummaryandoutlookforourworkar