简介：WestudythescalarandfermionicretardedGreen’sfunctiononthebackgroundwithhyperscalingviolationbymeansoftheprescriptionsproposedin[J.HighEergyPhys.09(2002)042;Fortsch.Phys.57(2009)367].Forscalarfield,weconsiderbothmasslessandmassivecases,andforspinorfield,wefurthercalculatethefinitetemperaturecorrelatorwiththeblackholebackground.

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简介：Thenovelideathatspin-orbitcoupling(SOC)andans-wavepairingsystemcanleadtoinducedpwavepairingwithastrongmagneticlimit,hasstimulatedwidespreadinterestinsearchingforMajoranafermions(MFs)insemiconductor-superconductorhybridstructures.However,despitemajoradvancesinthesemiconductornanotechnology,thissystemhasseveralinherentlimitationsthatprohibittherealizationandidentificationofMFs.Weovercometheselimitationsbyreplacingthes-wavesuperconductorwiththetype-IIFulde-Ferrell(FF)superconductor,inwhichthecenter-of-massmomentumoftheCooperpairrenormalizesthein-planeZeemanfieldandchemicalpotential.Asaresult,MFscanberealizedinsemiconductornanowireswithsmallvaluesoftheLandég-factorandhighcarrierdensities.TheSOCstrengthdirectlyinfluencesthetopologicalboundary;thus,thetopologicalphasetransitionandassociatedMFscanbeengineeredbyanexternalelectricfield.Theoretically,almostallsemiconductornanowirescanbeusedtorealizeMFsbyusingtheFFsuperconductor.However,wefindthatInPnanowireismoresuitablefortherealizationofMFscomparedtoInAsandInSbnanowires.Thus,thisnewschemecantakefulladvantageofthesemiconductornanotechnologyfortherealizationofMFsinsemiconductor-superconductorhybridstructures.

简介：Ingraphene,conductanceelectronsbehaveasmasslessrelativisticparticlesandobeyananalogueoftheDiracequationintwodimensionswithachiralnature.Forthisreason,theboundingofelectronsingrapheneintheformofgeometriesofquantumdotsisimpossible.Ingaplessgraphene,duetoitsuniqueelectronicbandstructure,thereisaminimalconductivityatDiracpoints,thatis,inthelimitofzerodoping.Thiscreatesaproblemforusingsuchahighlymotivatednewmaterialinelectronicdevices.Oneofthewaystoovercomethisproblemisthecreationofabandgapinthegraphenebandstructure,whichismadebyinversionsymmetrybreaking(symmetryofsublattices).WeinvestigatetheconfinedstatesofthemasslessDiracfermionsinanimpuredgraphenebytheshort-rangeperturbationsfor"localchemicalpotential"and"localgap".Thecalculatedenergyspectrumexhibitsquitedifferentfeatureswithandwithouttheperturbations.Acharacteristicequationforboundstates(BSs)hasbeenobtained.Itissurprisinglyfoundthattherelationbetweentheradialfunctionsofsublatticeswavefunctions,i.e.,f_m~+(r),g_m~+(r),andf_m~-(r),g_m~-(r),canbeestablishedbySO(2)group.

简介：<正>AneffectiverelativisticcontinuummassiveProcaLagrangianactionisusedtoaccountfortheLorentzvectorcondensationeffectsontheequationofstateofthestronglyinteractingfermionssystem.TheinteriorquantumfluctuationeffectsareincorporatedasanexternalfieldapproximationindirectlythroughafictivegeneralizedThomsonProblemcountertermbackground.Thegeneralanalyticalformulasforthed-dimensionalthermodynamicsaregivenneartheunitarylimitregion,Inthenon-relativisticlimitford=3,theuniversaldimensionlesscoefficientε=4/9andenergygap△/ε_f=5/18arereasonablyconsistentwiththeexistingtheoreticalandexperimentalresults.Intheunitarylimitford=2andT=0,theuniversalcoefficientcanevenapproachtheextremeoccasionξ=0correspondingtotheinfiniteeffectivefermionmassm~*=∞,whichcanbemappedtothestronglycoupledtwo-dimensionalelectronsandisquitesimilartothethree-dimensionalBose-Einsteincondensationofidealbosongas.Instead,ford=1,theuniversalcoefficientξisnegative,implyingthenon-existenceofphasetransitionfromsuperfluiditytonormalstate.ThesolutionsmanifestthequantumIsinguniversalclasscharacteristicofthestronglycoupledunitaryfermionsgas.

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简介：我们学习配对的状态在一大部分在旋转起来和旋转下面费米子分别地被充满到s-和px-orbital乐队的地方，二部件的费密气体在一个各向异性的二维的光格子装载了的imbalanced。我们由于s和pxorbitals的乐队结构的相对倒置显示出那，在一样上在二费米子之间配对的系统帮助Brillouin地区站在一起，与有限center-of-mass动量为状态导致大稳定的政体，即，Fulde-Ferrell-Larkin-Ovchinnikov(FFLO)状态。特别地，二费密什么时候出现，在动量空间是靠近的，嵌套的效果与空间调整稳定-FFLO阶段的一种特殊类型沿着容易掘的x方向。我们在二维的飞机以内为各种各样的方面比率在吝啬地的途径以内畴划零温度的阶段图并且计算Berezinskii-Kosterlitz-Thouless(BKT)转变温度T为不同阶段的BKT。