Onset of nematicity in YBCO Interplay with charge order & superconductivity. Louis Taillefer

Transcription

1 Onset of nematicity in Interlay with charge order & suerconductivity Louis Taillefer Collège de France, Paris, 6 March 15

2 Onset of nematicity in Interlay with charge order & suerconductivity O. Cyr- Choinière G. Grissonnanche S. Badoux N. Doiron- Leyraud L. Taillefer of British J. Day R. Liang W. N. Hardy D. A. Bonn Cyr- Choinière et al., arxiv:4.697 (15)

3 Phases & Ques*ons 1) SuerconducGvity Why a dome? Why eaked at =.16? ) Pseudoga What is it? Crossover or transi;on? 3) Charge order Why a dome? Why eaked at =.1? 4) NemaGcity Where from? Crossover or transi;on? T* T CDW T c T FSR T NMR

4 The central line T x =.14 T c y a (.cm ) T x 3 T * Ando et al., PRL 93, 671 (4)

5 In- lane anisotroy of the resis*vty in Ando et al., PRL 88, 1375 ()

6 The nema*c line Tnem A.8.1 = Tnem.16 a / b.6 =.8.4 Tnem 1.4 Tnem T(K) A B y =.1 =.85 ( a Tnem =.11 - b Tc ) /at/ ( nv b /K T) T(K) Cyr- Choinière et al., arxiv:4.697 (15) T(K) K T ) B..1 3

7 The nema*c line T c y B a / b B ( a - b ) / T ( nv / K T ).4 = = =.11 Cyr- Choinière et al., arxiv:4.697 (15)

8 The nema*c line T c y T x = A ( a - b ) / T ( nv / K T ) B ( a - b ) / T ( nv / K T ) = =.11 Cyr- Choinière et al., arxiv:4.697 (15)

9 The seudoga energy E PG E PG ( K ) Suscetibility Heat caacity ARPES NMR Resistivity Hole concentration, Tallon & Loram, Physica C 349, 53 (1)

10 The seudoga energy E PG E PG =.4 3 T* E PG / Cyr- Choinière et al., arxiv:4.697 (15) Tallon & Loram, Physica C 349, 53 (1)

11 The seudoga energy E PG STM on Bi- 1 3 E PG / Fujita et al., Science 344, 61 (14) Tallon & Loram, Physica C 349, 53 (1) Cyr- Choinière et al., arxiv:4.697 (15)

12 Onset of Kerr signal T K Xia et al., PRL, 17 (8) 3 T* E PG / Cyr- Choinière et al., arxiv:4.697 (15) Tallon & Loram, Physica C 349, 53 (1)

13 Charge order T CDW hits T CDW dome at eak 3 T N T CDW T c T NMR Hücker et al., PRB 9, (14) Blanco- Canosa et al., PRB 9, (14) Cyr- Choinière et al., arxiv:4.697 (15) Wu et al., Nat. Comm. 4, 113 (13)

14 Suression of charge order by ressure in Restoring the full suerconducting dome O. Cyr- Choinière D. LeBoeuf S. Badoux S. Dufour- Beauséjour N. Doiron- Leyraud L. Taillefer of British R. Liang W. N. Hardy D. A. Bonn Cyr- Choinière et al., arxiv:3.33 (15)

15 T c in oxygen-ordered b / ( 75 K ) =.17 T x# T CDW 3 T* P =. GPa T c : enhanced by ressure T x, T* : unchanged by ressure Cyr- Choinière et al., arxiv:3.33 (15)

16 T c in oxygen-ordered b T c ( K ) = ( dt c / dp ) ( K / GPa ) 1 3 P ( GPa ) Why is T c enhanced by ressure? dt c / dp eaks at =.1 Cyr- Choinière et al., arxiv:3.33 (15)

17 T c in oxygen-ordered b T c ( K ) P ( GPa ) = dt c / dh ( K / T ) ( dt c / dp ) ( K / GPa ) - dt c / dh eaks at =.1 dt c / dp eaks at =.1 Cyr- Choinière et al., arxiv:3.33 (15)

18 Enhancing T c by P P = 15 GPa P = GPa T c P = ( dt c / dp ) ( K / GPa ) T c dome restored at P = 15 GPa dt c / dp eaks at =.1 Cyr- Choinière et al., arxiv:3.33 (15)

19 Suerconduc*vity T c hits T c dome at eak 3 P = 15 GPa T c P = 15 GPa E PG / Cyr- Choinière et al., arxiv:3.33 (15) Cyr- Choinière et al., arxiv:4.697 (15)

20 SUMMARY T CDW y Cyr- Choinière et al., arxiv:4.697 (15)

21 SUMMARY T x = = E PG / T c y Cyr- Choinière et al., arxiv:4.697 (15)

22 SUMMARY T x = = E PG /.4 A 3 B 3 T* T N T CDW T c T c P = 15 GPa T NMR E PG / hits T CDW dome at eak hits T c dome at eak Cyr- Choinière et al., arxiv:4.697 (15)

23 Two scenarios SDW scenario 3 Isotroic (disordered) Temerature Crystal Nematic Suerconducting 8 T N T CDW Smectic C 3 v C C 1 T SDW T c Kivelson et al., Nature 393, 5 (1998) T NMR SDW nema;city CDW nema;city

24 Two scenarios SDW scenario CDW nema;city X- rays X-ray intensity ( a.u. ) CDW H = 15 T T CDW = ( a - b ) / T ( nv / K T ) Nernst 3 Chang et al., Nat. Phys. 8, 871 (1) Daou et al., Nature 463, 519 (1) Cyr- Choinière et al., arxiv:4.697 (15)

25 δν magn (khz) N (arb. units) Two scenarios SDW scenario O() Ortho-II O(3) 3 T (K) NMR δν quad /ν quad (%) N (arb. units) CDW nema;city Ortho-VIII O(EF) O(3F) 3 T (K) oscillations of common metals takes the form of a static charge density modulation of eriod /q CDW, where q CDW is the ordering wave vector of the CDW, even above the CDW transition at T CDW (refs 6 8). On cooling towards T CDW, the charge modulation grows around defects over a tyical length set by the charge correlation length x charge of the ure system and with an intensity reflecting the amlitude of the CDW suscetibility w CDW (refs 6 8). This roduces an NMR line broadening starting to be detected near T onset E.3 T CDW and actually ersisting below T CDW as the CDW attern remains erturbed around defects 6,7. All asects of the above-described NMR broadening in YBa Cu 3 O y, including its onset near T onset E 3T charge, strikingly resemble the above descrition. This suggests that the static T (K) 3 Wu et al., Nat. Commun. 6, 6438 (15) AF? T onset T charge S (hole/cu) T * YBa Cu 3 O y SC C KERR XRD NMR Figure 7 Temerature-doing hase diagram of charge-ordered YBa Cu 3 O y. Phase diagram as a function of hole doing. The dashed line in the suerconducting (SC) dome reresents T charge, the transition towards long-range CDW order, only observed under magnetic fields 15,16. AF stands for antiferromagnetic order. T* reresents the seudoga onset. The question mark underlines the current uncertainty as to whether T onset decreases or increases with diminishing below E.11 or whether it searates into two different scales according to the exerimental robe. Error bars reresent the uncertainty in locating T onset from data such as in Fig. 4. Error bars in the Kerr and X-ray data are from refs 3, 17, 18 and. Error bars in the NMR data are defined by the error margin for scaling the There similar di normal s reconstru sequence HgBa Cu a rimar modulatio asymmetr exerimen long-rang identified CDW ver discussing signal-tochosen cr be higher recision. vocally de can diffe Nonethele situation dissimilar (Fig. 7), e the sin s our YBa nothing i resonsib This, h entirely u within th (likely lo cannot e seudoga they are n question o is actuall causation Search fo Q ¼ ) m and its on of a ha

26 6.93 Along (1,,) Along (,1,) CDW nema;city 6.86 Along (1,,) Along (,1,) SDW scenario δcdw (r.l.u.) Two scenarios.3 YBaCu3O6+x (1,,) YBaCu3O6+x (,1,) δ =.5 RSXS La-xBaxCuO4 δ= Intensity (arb. units) Along (1,,) Along (,1,) La1.8-xEu.SrxCuO Along (1,,) Along (,1,) hole concentration () FIG. 6. (Color online) Doing deendence of the CDW wave vector in YBa Cu3 O6+x comared to the wave vector characterizing charge order in the stried state of La x Bax CuO4 (Ref. [6]) and La1.8 x Eu. Bax CuO4 (Ref. [5]) Along (1,,) Along (,1,) h, k (r.l.u.).4 FIG. 5. (Color online) In-lane anisotroy of the background-subtracted RXS signal in YBa Cu3 O6.86, YBa Cu3 O6.6, YBa Cu3 O6.55, and YBa Cu3 O6.51 (Note that in this figure the overall intensities between the samles have been rescaled for clarity). Full and emty symbols stand for data taken along the (,1,) and (1,,) directions, resectively. ξ extracted from these data [Fig. 7(b)] reaches a maximum of 75 A (about lattice sacings) for.1, mirroring the amlitude maximum inferred from the raw data in Fig. 3. (A) Schematic rerefig. 1. Charge order toology in momentum sace. Near the end oints of momentum the CDW stability range, ξ 3modulations A sentation of the structure of charge in. Left (about 8inset: lattice sacings), comarable to the CDW correlation Selected momentum scans of the CDW eak along the b axis at Qb = lengths(, observed in different Bi Sr CuO Sr CaCu and 9 ). Continuous lines 6+δ, Bi angles.31), for azimuthal (a O=8+δ,, 45,. For the samles with the largest ξ, the eak HgBa CuO 4+δ reresent Lorentzian fits; horizontal bars denote the linewidth DQ (HWHM). widths Right in theinset: h andsame k directions differ by u to %, which as for the left inset, but for the CDW eak along the a axis at translates into a highly anisotroic correlation volume in the Qa (.31, ). (B) Color ma of a series of Q-scans (normalized to the eak CuO lanes. Comin et al., Science 347, 1335 (15) Blanco- Canosa et al., PRB 9, (14) of samles. In order to extract the eak width and osition, the data of Fig. 4 were fitted to Lorentzian rofiles. Figure 6(a) VOL 347 ISSUE 68 C.MARCH Temerature deendence The temerature deendence of the CDW eak intensity is lotted in Fig. 8 for reresentative samles. In agreement with rior work, we note that the intensity is maximal around Tc in all samles excet the one with x =.86, where the maximum aears to be slightly below Tc. The suerconductivity- height) slici the linewidt function of (Y651), YBa tric gray cir rofile. Bot comared w

27 Two scenarios SDW scenario SDW nema;city Neutrons a, b ( r.l.u. ) b.18 = along a * along b *.8 3 Hinkov et al., Science 319, 597 (8)

28 Two scenarios SDW scenario SDW nema;city (a) Temerature T (K) 3 3 AF T c T ELC T SDW T N SC hole doing (er lanar Cu) a, b ( r.l.u. ) b a / b.18 = along a * along b *.8 3 = = Haug et al., NJP 1, 16 (1) a 1. Hinkov et al., Science 319, 597 (8) 3

29 Two scenarios SDW scenario SDW nema;city 3 T* T elc T CDW T SDW T c a, b ( r.l.u. ) b a / b.18 = along a * along b *.8 3 = = a 1. 3 Hinkov et al., Science 319, 597 (8)

30 Two scenarios SDW scenario 3 Phases & Ques*ons 1) SuerconducGvity Why a dome? ) Pseudoga What is it? Crossover or transi;on? 3) Charge order Why a dome at =.1? 4) NemaGcity Where from? Crossover or transi;on? T N T SDW T CDW T c T NMR SDW nema;city CDW nema;city

31 Two scenarios Mo: scenario Phases & Ques*ons 3 P = 15 GPa 1) SuerconducGvity Why a dome? ) Pseudoga What is it? Crossover or transi;on? 3) Charge order Why a dome at =.1? 4) NemaGcity Where from? T c E PG /

32 merci