Lectures on holographic methods for condensed matter physics

《Lectures on holographic methods for condensed matter physics》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、arXiv:0903.3246[hep-th]LecturesonholographicmethodsforcondensedmatterphysicsSeanA.HartnollJeersonPhysicalLaboratory,HarvardUniversity,Cambridge,MA02138,USAhartnoll@physics.harvard.eduAbstractThesenotesarelooselybasedonlecturesgivenattheCERNWinterSchoolonSupergra

2、vity,StringsandGaugetheories,February2009andattheIPMStringSchoolinTehran,April2009.Ihavefocusedonafewconcretetopicsandalsoonaddressingquestionsthathavearisenrepeatedly.Backgroundcondensedmatterphysicsmaterialisincludedasmotivationandeasyreferenceforthehighenergyp

3、hysicscommunity.Thediscussionofholographictechniquesprogressesfromequilibrium,totransportandtosuperconductivity.arXiv:0903.3246v3[hep-th]17Jan2010Contents1Whyholographicmethodsforcondensedmatter?21.1Whycondensedmatter?.............................21.2Quantumcriti

4、cality................................31.2.1Example:TheWilson-Fisherxedpoint................41.2.2Example:Spinonsandemergentphotons...............71.2.3Connectiontononconventionalsuperconductors............102AppliedAdS/CFTmethodology132.1Geometriesforscaleinvar

5、ianttheories.....................132.1.1Aside:Sowhatiszintherealworld?.................192.2Finitetemperatureatequilibrium........................222.3Finitechemicalpotentialandmagneticeldatequilibrium.........262.4Relevantoperators..............................

6、..312.5Expectationvalues................................352.6Dissipativedynamicsclosetoequilibrium...................362.7Example:Howtocomputeelectricalandthermalconductivities.......392.8Comparisontoexperimentsingraphene....................443Thephysicsofspectra

7、lfunctions463.1Relationtotwopointfunctionsandsymmetryproperties..........463.2Causalityandvacuumstability.........................473.3Spectraldensityandpositivityofdissipation.................493.4Quantumcriticaldynamicswithparticle-holesymmetry...........513.5Q

8、uantumcriticaltransportwithanetchargeandmagneticeld......533.6Asimpletreatmentofimpurities........................574Holographicsuperconductivity604.1Whatisas