Sarchng for parng nracons wh cohrn charg flucuaons spcroscopy J. Lornzana ISC-CNR, Sapnza, Unvrsy of Rom B. Mansar, A. Mann, A. Odh, M. Scaronglla, M. Chrgu, F. Carbon EPFL, Lausann
Ouln Raman scarng Cohrn Lac Flucuaon Spcroscopy Cohrn Charg Flucuaon Spcroscopy Cohrn oscllaons n a suprconducor NMR n charg spac Condnsa couplng wh a hgh-nrgy mod
Raman Scarng 0 * * 0 * * 0 0 4 1. E χ χ χ P χ χ χ χ χ χ χ E P E E ph L ph L L L Raman nsor L ph L Sr Chandraskhara Vnkaa Raman
Sponanous Raman Scarng Suga PRB 89 2.7V ρˆ χ ( ) ˆ L 2.5V 2.4V
Impulsv Smulad Raman Scarng and Cohrn Lac Flucuaon Spcroscopy Mrln ssc 1997, Svns, Kuhl, Mrln PRB 2002 pump [100] 1.55V prob [001] broad band La2-x SrxCuO4 x=0.15
Dcon of Excaons ε 1 4χ pump [100] prob [001]
Swss Knf Marx Elmn Sponanous Raman scarng = Cohrn conrol of xcaons Cohrn Flucuaon Spcroscopy Cohrn gnraon of xcaons Dcon of xcaons
A nw cohrn xcaon Tc =Tc pump [110] prob [110] x=0.15
Cohrn gnraon of xcaons Phonons Charg Flucuaons
Magnsm and Suprconducvy Andrson Phys. Rv 1958 BCS k u v c c 0 k k k k Normal Suprcond. + Ef
Magnsm and Suprconducvy Andrson Phys. Rv 1958 NMR lk! Larmor a Ef 2 k k
NMR n Charg Spac
Cohrn Charg Flucuaon Spcroscopy Vry spcfc! UHB LHB
Glu Dba Andrson, Scalapno, Scnc 2007 Scalapno: Numrcs suppor a rardd nracon scnaro. Paramagnons ar h glu. Andrson: RVB s h ru. Do no sarch for phonons, magnons, c. Thr s no nd o b a glu-snffr.
Glu dba Aracv Hubbard bands ~20% of h aracon from couplng o hgh nrgy sas Paramagnons Mar, Polblanc, D. J. Scalapno, PRL 2008 /
Conclusons Suprconducng charg flucuaons gnrad and dcd by lgh pulss for h frs m. Srong analogy wh NMR opns h possbly of cohrn conrol of h suprconducng wav funcon. Raman profls carry prcous nformaon on h couplng bwn low nrgy xcaons and hgh nrgy xcaons. Enabls Cohrn Charg Flucuaon Spcroscopy, a nw chnqu ha allows o answr h quson: Whch xcaons ar coupld o h suprconducng quasparcls?. Hgh spcfcy lk Isoop ffc. In our sysm: Excaons a h scal of h Hubbard U ar coupld o low nrgy charg flucuaons. Sgnaur of Monss n h suprconducng wav funcon. Rf: Mansar al. PNAS 110, 4539 (2013). Lornzana al. EPJ ST, 222, 1223 (2013).
3+ Raman Scarng Exampl: Th A1g La Phonon Incras n l-ph ( L ) L
Polarzaon Analyss
B1g Symmry and Fluncy Dpndnc A1g+B1g pump [100] prob [100] A1g-B1g pump [100] prob [010]
NMR n Charg Spac T 2 *
Raman profl as a fngrprn of xcaons pump [110] prob [110] X=0.15
Ral m Raman vs Frquncy Doman Phas snsv nformaon Raman profl n on sho Cohrn conrol of xcaons
Ral m Raman vs Frquncy Doman Exampl: Two magnon oscllaons n an AF sysm Zhao,Bragas, Mrln, Lockwood PRB 2006
Raman profl as a fngrprn of xcaons 3+ Exampl: Th A1g La Phonon Incras n
Rsonan Effcs n Elcronc Raman Scarng Blumbrg al. PRB 1996
NMR n Charg Spac
Raman Scarng f 0 0 f L ph L
Raman Scarng 0 * * 0 0 * * 0 * *. ) ( E α α α p E E α E p α α α α u ph L ph L L L ph ph ph ph ph M m f 2 2 0 2 F α L ph L
Convnonal Suprconducors
Hgh-Tc Cupras Lf Rvoluonars Corrlad Insulaor Frm Lqud Rgh Consrvavs/Rformss
Consrvav/Rforms Vw o dr + 3 H: Lgg, RMP 1975 Suprconducors: Monhoux, Pns, Lonzarch, Naur 2007
Lf Rvoluonary PW Andrson RVB Scals U and J Imporan No rardaon
Raman n Solds ph ph n n * * 0 4 1. χ χ χ χ σ χ χ ε χ E P α χ p P s L s L R L d ˆ ')..ˆ( ˆ, ).ˆ.ˆ( ˆ ' ) ( ) ( Im 1 ) ( ˆ ' ρ ρ χ ρ Cardona, Lgh Scarng n Solds II R s L R
Havy Frmons
Cohrn Excaon of charg flucuaons by Impulsv Smulad Raman Scarng
Opcal Conducvy and Flucuaons Uchda.al PRB 91 ( r )cos(. ) Q ( Qr )0,2/ n J.L & G.S., PRL 90, 066404(2003)
Unconvnonal Suprconducors Clos o nsabls h suscpbly s larg a small nrgs (long ms)
χ Raman Scarng: h A 1g La Phonon 3+ Incras n l-ph
Raman Scarng L L ph R χ ρˆ ( L) ( ) d' La A1g ' ˆ L 1 Im( R ).ˆ( ρ ).ˆ, ˆ s L.ˆ( ρ '). ˆ s 2.7V 2.5V Suga PRB 89 2.4V