1. Hidden Reentrant and Larkin-Ovchinnikov- Fulde-Ferrell Phase in a Magnetic Filed in (TMTSF) 2 ClO 4 ECRYS (August 17 th 2011) Andrei G. Lebed Department of Physics, University of Arizona and Landau Institute for Theoretical Physics NSF grant DMR-0705986

2. (TMTSF) 2 X: quasi-one-dimensional layered conductors

3. Quasi-classical 3D -> 2D dimensional crossover in a magnetic field Gorkov - Lebed (1984); Heritier-Montambaux-Lederer (1984); Chaikin (1985) FISDW phases

4. Quantum 3D -> 2D dimensional crossover l(H) d H Hypothesis: A.G. Lebed (1986) Strict theory in Q1D and Q2D: A.G. Lebed (2005)

5. Reentrant Superconductivity Phenomenon Q1D: A.G. Lebed (1986); N. Dupuis and G. Montambaux (1993) Q2D: A.G. Lebed & K. Yamaji (1998)

6. (TMTSF)2ClO4 in a rotated magnetic field

7. New experiments: Maeno’s&Jerome’s groups [Yonezawa et al. (2008-2009)]

8. 25 th Conference on Low-Temperature Physics, 2009

9. A.G. Lebed, Phys. Rev. Lett., accepted (2011) Lebed oscillations :

10. Quantum 3D -> 2D dimensional crossover d H Hypothesis: A.G. Lebed (1986) (Peierls substitution method) Strict quantum theory: A.G. Lebed (2005)

11. Schrodinger-like equation

12. Wave and Green functions

13. Gap equation from Gor’kov equations for d-wave like order parameter

14. Upper critical field at T=0

15. S.Yonezawa, Y. Maeno et al., Phys. Rev. Lett., 100, 117002 (2008)

16. A.G. Lebed and Si Wu, Phys. Rev. B, v. 82, p.172504 (2010)

17. Natalia Lebed

18. Electron wave functions

19. Superconducting order parameter

20. Gap Equation from Gor’kov’s equations

21. Theory versus Experiment

22. Unresolved Questions