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Contents - Max-Planck-Institut für Physik komplexer Systeme

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Ohio(Neiman). Problemsfromcellbiophysicsareexploredincollaborationwithexperimentalgroups<br />

fromMunichandDresden. Specifically,weworkonintracellulardiffusionandtransport(Heinrich)and<br />

ontheproblemofcapturingofkinetochores(Tolić-Nørrelykke).Activemotilitymodelsarestudiedina<br />

jointprojectwitharesearchgroupinBerlin(Schimansky-Geier).<br />

Division:CondensedMatter<br />

(Head:Prof.Dr.R.Moessner)<br />

Incondensedmatterphysics,complexbehaviourarisesduetotheinteractionsbetweenalargenumberof<br />

microscopicdegreesoffreedom;thesefundamentaldegreesoffreedomcanthemselvesbeverysimple.<br />

Theresultingbehaviourisfascinatinginitsrichness: manydifferentphasesexistasdistinct‘vacua’,<br />

eachwithitsowncharacteristicpropertiessuchasground-statecorrelations,excitations,anddynamics<br />

inandoutofequilibrium. TheCondensedMatterdivisionstudiessuchcollectivebehaviour. Most<br />

fundamentally,theaimistoconnectthemacroscopicbehaviourofmatterwiththemicroscopicproperties<br />

ofitsconstituentparticles.Thisworkisnotonlyaimedatidentifyingandunderstandingnovelbehaviour,<br />

butalsoatidentifyingtheprinciplesaccordingtowhichwecanunderstandhowthephysicalworldis<br />

organised.<br />

Toachievethis,weutilisethemethodsofmany-bodyphysics,bothofanalytical(e.g.fieldtheories,<br />

exactsolutions),andnumerical(e.g.MonteCarlo,exactdiagonalisation)nature. Toguideandtest<br />

theory,abroadrangeofresultsfromexperimentalinvestigationsareavailable,whichthemselvesprofit<br />

fromthecombinatorialrichnesssuppliedbytheperiodictableofelements,andfromthepossibilityto<br />

custom-tailordegreesoffreedomandtheirinteractions. Progressoftennucleatesaroundexperimental<br />

breakthroughs,suchasthepossibilitytoinvestigatereal-timequantumdynamicsandwell-controlled<br />

time-dependentHamiltoniansinsystemsofcoldatoms,orverycleanelectronicsystemsprovidedby<br />

semiconductorheterostructuresandgraphene.<br />

Finally,theconceptsandmethodsofstatisticalmechanicshaveamuchwiderrangeofapplicabilitybeyond<br />

materials-basedmany-bodyphysics.Forinstance,theypermitustotakeabroaderviewofsubjectssuch<br />

asquantumcomplexitytheory,wheretheycanbeusedtoattackquestionsabouttypicalratherthan<br />

worstcasecomplexityincomputationalensembles.<br />

ResearchTopics<br />

Thesearchforemergentmagneticmonopoles: In2008,wepredictedthattheclassofmagneticmaterials<br />

whichgoesunderthenameofspiniceshouldexhibitelementaryexcitationsintheformofmagnetic<br />

monopoles.Subsequently,amulti-facetedexperimentaleffortgotunderwaywiththeaimoftestingthis<br />

prediction,asthiswouldinparticularconfirmspinicetobethefirstthree-dimensionalmagneticmaterial<br />

inwhichfractionalisationoccurs,inaphasedescribedbyaweaklyfluctuatingemergentgaugefield.<br />

WecollaboratedwithSantiagoGrigeraandAlanTennantwhoconductedasetofthermodynamicsand<br />

neutronscatteringexperiments. Inprovidingaparameter-free,quantitativeDebye-Hueckeltheoryfor<br />

themeasuredheatcapacity,wewereabletoestablishthattheinteractingmagneticmonopolescouldbe<br />

describedasaweaklyinteractingmagneticCoulombliquid.Inaddition,weanalysedthespincorrelations<br />

duetothe‘Dirac’stringsofflippedspinswhichrunbetweendifferentmonopoles. Inaseparatelineof<br />

work,weinvestigatedthephaseorderingkineticsuponapproachingtheCoulombphase,withparticular<br />

viewofgeneratingalargeout-of-equilibriumpopulationofmonopolesatlowtemperature. Also,we<br />

providedatheoreticframeworktoexplaintheirrationalchargeofthemagneticmonopoleswhichalso<br />

accountsforpreviouslyknowninstancesofirrationalchargeinonedimension.<br />

Disorderinspinliquids: Theinterplayofdisorderandinteractionspresentsoneofthemostfascinating<br />

andchallengingaspectsofcondensedmatterphysics. Inthecontextofspinsystemswithquenched<br />

disorder,thephysicsofspinglassesandinfiniterandomnessphasesarejusttwoinstancesofconceptually<br />

newphysicswhichhaveariseninthepast. Itisnaturaltoaskmoregenerallywhathappenswhen<br />

quencheddisorderisintroducedinamagneticsystemexhibitinganovelcorrelatedgroundstate.Indeed,<br />

besidesasearchfornewtypesofdisorder-inducedphases,thepropertiesofmanyquantumsystems<br />

canbeprobedsensitivelythroughthecontrolledintroductionofimpurities.Wehavestartedtoaddress<br />

thissetofquestionsinthecontextofKitaev’shoneycombmodel,oneofthefewanalyticallytractable<br />

instancesofagaplessquantumspinliquid.Wehavefoundthatimpuritiesnucleateamagneticmoment<br />

1.8. DepartmentsandResearchGroups 17

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