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Christoph Gadermaier Department of Complex Matter Jožef Štefan Insitute Ljubljana, Slovenia PowerPoint PPT Presentation


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Systematic electron-phonon interaction strength measurements in high-temperature superconductors with femtosecond spectroscopy. Christoph Gadermaier Department of Complex Matter Jožef Štefan Insitute Ljubljana, Slovenia. Conventional superconductivity Electron-phonon interaction. BCS:.

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Christoph Gadermaier Department of Complex Matter Jožef Štefan Insitute Ljubljana, Slovenia

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Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Systematic electron-phonon interaction strength measurements in high-temperature superconductors with femtosecond spectroscopy

ChristophGadermaier

Department of Complex Matter

JožefŠtefanInsitute

Ljubljana, Slovenia


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Conventional superconductivity

Electron-phonon interaction

BCS:

Isotope effect:

Image courtesy of B. Valenzuela

What is the role of EPI in high-Tc?


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Determine electron phonon interaction from electron energy relaxation

Image courtesy of G. Cerullo


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

The two-temperature model

P.B. Allen, Phys. Rev. Lett. 59, 1460 (1987).


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Validity of the TTM

P.B. Allen, Phys. Rev. Lett. 59, 1460 (1987):


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

The non-equilibrium model

V.V Kabanov and A. S. Alexandrov, Phys. Rev. B. 78, 174514 (2008).


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

e-e thermalisation is not faster than e-ph energy relaxation

C. Gadermaier et al., Phys. Rev. Lett.105, 257001 (2010).

Metal data from S. D. Brorson et al., Phys. Rev. Lett. 64, 2172 (1990).


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Electron distribution during relaxation in Bi2Sr2CaCu2O8+d

L. Perfetti et al., Phys. Rev. Lett. 99, 197001 (2007).


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Compare predictions of TTM and NEM

TTM

NEM

all fluences

low fluence

high fluence

Te undefined


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Temperature dependent relaxation time

T. Mertelj et al., Phys. Rev. B 81, 224504 (2010).

We need to measure well above the pseudogap temperature


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Intensity independent dynamics in La1.85Sr0.15CuO4

400K < “Te” < 800 K

C. Gadermaier et al., Phys. Rev. Lett.105, 257001 (2010).


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Arguments for the non-equilibrium model

  • textbook knowledge

  • comparison of measured e-ph relaxation and estimated e-e thermalisation times

  • time-dependent electron distribution from ARPES

  • intensity independent dynamics


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

  • Determination of EPI strength in La1.85Sr0.15CuO4

C. Gadermaier et al., Phys. Rev. Lett.105, 257001 (2010).


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

  • Determination of EPI strength in YBa2Cu3O6.5

C. Gadermaier et al., Phys. Rev. Lett.105, 257001 (2010).


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Unpublished material removed. Please contact [email protected]

The role of e-ph interaction in high-Tc


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Electron correlation

T. Nakano et al., J. Phys. Soc. Jap. 67, 2622 (1998).

J.-H. Chu, Phys. Rev. B. 79, 014506 (2009).


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Collaborative electron-electron and electron-phonon

Unpublished material removed. Please contact [email protected]


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Bipolarons

A. S. Alexandrov, Phys. Rev. B.38, 925 (1988).

Basic theory derived already in A. S. Alexandrov, Zh. Fi. Khim. 57, 273 (1983) before the discovery of high Tc


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

Stripes and other textures

T. Mertelj, V.V. Kabanov, and D. Mihailovic, Phys. Rev.

Lett. 94, 147003 (2005).


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

  • electron-phonon interaction is determined from electron energy relaxation

  • electron energy relaxation is described by the non- equilibrium model, qualitatively even for non-Fermi liquids → TL/te-ph is a good measure of electron-phonon interaction

  • almost universal dependence of Tc of optimally doped compounds on TL/te-ph, sharp maximum at 5 K/fs→ high Tc is a collaborative effect of electron-phonon interaction and electron correlation

Conclusion


Christoph gadermaier department of complex matter jo ef tefan insitute ljubljana slovenia

  • Primož Kušar, Viktor Kabanov, Tomaž Mertelj, Ljupka Stojchevska, Yasunori Toda, Dragan Mihailović

  • Sasha Alexandrov

  • Cristian Manzoni, Daniele Brida, Dario Polli, Giulio Cerullo

  • grazas pola súa atención

Acknowledgements


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