Searching for pairing interactions with coherent charge fluctuations spectroscopy

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Marcus Horn
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1 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

2 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

3 Raman Scarng 0 * * 0 * * 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

4 Sponanous Raman Scarng Suga PRB V ρˆ χ ( ) ˆ L 2.5V 2.4V

5 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

6 Dcon of Excaons ε 1 4χ pump [100] prob [001]

7 Swss Knf Marx Elmn Sponanous Raman scarng = Cohrn conrol of xcaons Cohrn Flucuaon Spcroscopy Cohrn gnraon of xcaons Dcon of xcaons

8 A nw cohrn xcaon Tc =Tc pump [110] prob [110] x=0.15

9 Cohrn gnraon of xcaons Phonons Charg Flucuaons

10 Magnsm and Suprconducvy Andrson Phys. Rv 1958 BCS k u v c c 0 k k k k Normal Suprcond. + Ef

11 Magnsm and Suprconducvy Andrson Phys. Rv 1958 NMR lk! Larmor a Ef 2 k k

12 NMR n Charg Spac

13 Cohrn Charg Flucuaon Spcroscopy Vry spcfc! UHB LHB

14 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.

15 Glu dba Aracv Hubbard bands ~20% of h aracon from couplng o hgh nrgy sas Paramagnons Mar, Polblanc, D. J. Scalapno, PRL 2008 /

16 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).

17 3+ Raman Scarng Exampl: Th A1g La Phonon Incras n l-ph ( L ) L

18 Polarzaon Analyss

19 B1g Symmry and Fluncy Dpndnc A1g+B1g pump [100] prob [100] A1g-B1g pump [100] prob [010]

20 NMR n Charg Spac T 2 *

21 Raman profl as a fngrprn of xcaons pump [110] prob [110] X=0.15

22 Ral m Raman vs Frquncy Doman Phas snsv nformaon Raman profl n on sho Cohrn conrol of xcaons

23 Ral m Raman vs Frquncy Doman Exampl: Two magnon oscllaons n an AF sysm Zhao,Bragas, Mrln, Lockwood PRB 2006

24 Raman profl as a fngrprn of xcaons 3+ Exampl: Th A1g La Phonon Incras n

25 Rsonan Effcs n Elcronc Raman Scarng Blumbrg al. PRB 1996

26 NMR n Charg Spac

27 Raman Scarng f 0 0 f L ph L

28 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 F α L ph L

29 Convnonal Suprconducors

30 Hgh-Tc Cupras Lf Rvoluonars Corrlad Insulaor Frm Lqud Rgh Consrvavs/Rformss

31 Consrvav/Rforms Vw o dr + 3 H: Lgg, RMP 1975 Suprconducors: Monhoux, Pns, Lonzarch, Naur 2007

32 Lf Rvoluonary PW Andrson RVB Scals U and J Imporan No rardaon

33 Raman n Solds ph ph n n * * 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

34 Havy Frmons

35 Cohrn Excaon of charg flucuaons by Impulsv Smulad Raman Scarng

36 Opcal Conducvy and Flucuaons Uchda.al PRB 91 ( r )cos(. ) Q ( Qr )0,2/ n J.L & G.S., PRL 90, (2003)

37 Unconvnonal Suprconducors Clos o nsabls h suscpbly s larg a small nrgs (long ms)

38 χ Raman Scarng: h A 1g La Phonon 3+ Incras n l-ph

39 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 V

Supplementary Figure 1. Experiment and simulation with finite qudit. anharmonicity. (a), Experimental data taken after a 60 ns three-tone pulse.

Supplementary Figure 1. Experiment and simulation with finite qudit. anharmonicity. (a), Experimental data taken after a 60 ns three-tone pulse. Supplmnar Fgur. Eprmn and smulaon wh fn qud anharmonc. a, Eprmnal daa akn afr a 6 ns hr-on puls. b, Smulaon usng h amlonan. Supplmnar Fgur. Phagoran dnamcs n h m doman. a, Eprmnal daa. Th hr-on puls s