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1、HolographicChargeDensityWavesAlexandrosAperis∗,PanagiotisKotetes∗,EleftheriosPapantonopoulos∗,GeorgeSiopsis♭,PetrosSkamagoulis∗,andGeorgiosVarelogiannis∗∗DepartmentofPhysics,NationalTechnicalUniversityofAthens,GR-15780Athens,Greece♭DepartmentofPhysicsandAstronomy,TheUniversityofTennessee,Knoxvi
2、lle,TN37996-1200,USAWediscussagravitydualofachargedensitywaveconsistingofaU(1)gaugefieldandtwoscalarfieldsinthebackgroundofanAdS4Schwarzschildblackholetogetherwithanantisymmetricfield(probelimit).Weobtainaphasetransitionbelowacertaincriticaltemperature.Wenumericallycomputethegroundstatescharacteri
3、zedbymodulatedsolutionsforthegaugepotentialcorrespond-ingtoaunidirectionalmodulatedchargedensityintheconformalfieldtheory.Signaturesoftheholographicdensitywavesareretrievedbystudyingthedynamicalresponsetoanexternalelectricfield.Wefindthatthisnovelstatesharesmanycommonfeatureswiththestandardcondens
4、edmatterversionofchargedensitywavesystems.PACSnumbers:11.25.Tq,04.70.Bw,71.45.Lr,71.27.+aTheAdS/CFTcorrespondencehasbecomeapowerfulmandriven[11]field-inducedCDWs,confined[12]andtoolinstudyingstronglycoupledphenomenainquantumevenunconventionaldensitywaves[13].Infact,uncon-fieldtheoryusingresultsfro
5、maweaklycoupledgravityventionaldensitywavesplayaspecialroleincondensedbackground.Accordingtothiscorrespondenceprinci-matterphysics.Characteristicrepresentativesarethed-ple[1],astringtheoryonasymptoticallyAdSspacetimedensitywave(DDW)[14]andmostrecentlyitschiralisdualtoaconformalfieldtheoryonthebo
6、undary.Re-(d+idDDW)version[15],whichhavebeenbothpro-cently,followingamorephenomenologicalapproach,aposedasprominentcandidatesforexplainingthestillplethoraofcondensedmatterphenomenahavebeenstud-unidentifiedpseudogapphaseofthehole-dopedcupratesiedwithinthisholographicprinciple,liketheproperties[14
7、,15]andcertain‘hidden’ordersinheavyfermioncom-ofsuperfluidsandsuperconductorsbothconventional[2]pounds[15,16].Apartfromtheirownsignificance,den-andunconventional[3],Fermiliquidbehaviour[4],quan-sitywavesarefrequentlyconsideredasprec
