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6th INTERNATIONAL CONFERENCE OF THE STRIPES SERIES STRIPES 08. Quantum Phenomena in Complex Matter. CRITICAL OPALESCENCE IN SUPEROXYGENATED La 2 CuO 4+y. Erice, July 26-August 1, 2008. Michela Fratini Dipartimento di Fisica Università degli studi di Roma “La Sapienza”. OUTLINE.
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6th INTERNATIONAL CONFERENCE OF THE STRIPES SERIESSTRIPES 08 Quantum Phenomena in Complex Matter CRITICAL OPALESCENCEIN SUPEROXYGENATED La2CuO4+y Erice, July 26-August 1, 2008 Michela Fratini Dipartimento di Fisica Università degli studi di Roma “La Sapienza”
OUTLINE • We have investigated the ordering of interstitial oxygen (iO) in superoxigenated La2CuO4 • Method:synchrotron x-ray micro-diffraction as a probe to detect microscopic phase separation giving self-organized electronic textures • Evidence for : • 1. The coexistence of ordered and disordered domains • 2. The order to disorder phase transition at 330K • 3. The statistical distribution of the size of ordered domains shows a power law distribution indicating critical opalescence near a critical point • These results open the way to control and manipulate the phase separation for new functional devices
HIGH Tc SUPERCONDUCTORS:SHOW A COMMON STRUCTURE Cuprates ROFeAs MgB2 • The nanoscale architecture: The lamellar Structure
PHASE DIAGRAM OF CUPRATES: 1 2 3 Critical point for structural phase transition from LTT to LTO
Interstitial oxygen STRUCTURE OF La2CuO4+y • The cuprate perovskite La2CuO4 is formed by bcc CuO2 monolayers intercalated by fcc rocksalt LaO bilayers with a periodicity of 1.3 nanometers. • The oxygen dopants in the LaO planes are mobile above 200 K • Space group=Fmmm
PHASE COEXISTING OF SUPERCONDUCTIVITY AND MAGNETIC ORDER (Savici et al. Phys. Lett. 95 157001 (2005)) The system shows a coexistence between superconducting and magnetic domains below 41K • High Tc superconductor Tc=41K Lee et al. Phys. Rev. B 60 3643 (1999)
OXYGEN ORDERED PHASE The existence of an ordered phase of interstitial oxygen has been detected at room temperature q2=0.09 a* +0.25 b*+0.50 c* X-ray diffraction pattern with: higher harmonics and narrow lines indicates Domains of 3D commensurate ordered oxygen dopants
CONTINUOUS FIRST ORDER PHASE TRANSITION Interstitial oxygen ordering T=300-350K Hysteresis cycle of Q2 phase using a photon flux of 1.5*1014 photons/cm2/s in the range from 300K to 350K. b) Hysteresis cycle of Q2 phase using a photon flux of 10*1014photons/cm2/s The result of the x.ray illumination is a reduction of the Hysteresis loop
PHOTO-INDUCED ORDERING PROCESS AT DIFFERENT TEMPERATURES. • Under x-ray illumination the size of the ordered domains increases in the temperature range between 250 K and 300 K. • The photo-induced ordering process shows a threshold characteristic of cooperative phenomena.
INHOMOGENEOUS phase with the COEXISTENCE of domains of ordered and disordered interstitial oxygen ions • Below 350K • bubbles of 3D ordered iO’s in a disordered medium What is the spatial distribution of the ordered domains?
METHOD Space-resolved X-ray diffraction based upon a beam size of ~ 1 µm specialises in the delivery of the microfocused X-ray beam • Photon sources in the range 12/13 Kev • The focussed beam is defined by a pinhole of 5 micron diameter
OXYGEN ORDERING PHASE We have done a mesh of the whole sample, with a beam size of about 1 micron, after locating q2, present in this oxide cuprate at room temperature around the bragg peak (0,0,6). q2= (0.09; 0; 0.50) The large orthorhombicity makes easy identify the twinning of the crystal domains and to index the superstructure peaks. q2 (0;0.25; 0.50) 006 peak in the diffraction pattern
MICROMAPPING SUPEROXYGENATED SAMPLE Mean Intensity =1.7233 Tc=41 K • The colours dots show the intensity of the q2 superstructure due to interstitial oxygen ordering • The figure shows the intensity on 5000 diffraction superstructure spots due to charge ordered domains
STATISTICAL DISTRIBUTION OF THE Q2 PHASE in SUPEROXYGENATED SAMPLE Mean Intensity =1.7233 γ= 1.7 ξ= 2.6
MICROMAPPING SAMPLE withINTERMEDIATE OXYGEN CONTENT Mean Intensity =1.5752 Tc= 32 K and 41 K Y (1 pixel=4.9 micron) X (1 pixel=20.3 micron)
STATISTICAL DISTRIBUTION OF THE Q2 PHASE in SAMPLEwithINTERMEDIATE OXYGEN CONTENT. Mean Intensity = 1.5752 RANK γ= 1.7 ξ= 1.5
MICROMAPPING IN A SAMPLE withLOW OXYGEN CONTENT Mean Intensity =1.0954 Tc=12K and 36K Y (1 pixel=4.9 micron) X (1 pixel=20.3 micron)
STATISTICAL DISTRIBUTION OF THE Q2 PHASEIN SAMPLE with LOW OXYGEN CONCENTRATION DOPING. Mean Intensity =1.0954 RANK γ= 1.7 ξ= 1.1
CONCLUSIONS • The proximity to a quantum critical point determines the critical opalescence with a power law distribution of the size of oxygen ordered domains • This is supported by the scale invariance • This result is assigned to the criticality of the system being close to the tricritical point identified in the phase diagram (Tc, doping and chemical pressure) • This conclusion is supported by the photoinduced phase transition near the critical point.
Alessandra Vittorini-Orgeas Nicola Poccia Ginestra Bianconi Luisa Barba (Elettra) Manfred Burghammer (ESRF) Gaetano Campi Finally I would like to thank my collaborators