Hidden Reentrant and Larkin-Ovchinnikov-Fulde-Ferrell Phase in a Magnetic Filed in (TMTSF)2

ClO4

ECRYS (August 17th 2011)

Andrei G. Lebed

Department of Physics, University of Arizonaand

Landau Institute for Theoretical Physics

NSF grant DMR-0705986

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

ta tb tc

Quasi-classical 3D -> 2D dimensional crossover in a magnetic field

Gorkov - Lebed (1984); Heritier-Montambaux-Lederer (1984); Chaikin (1985)

FISDW phases

Quantum 3D -> 2D dimensional crossover

l(H)

d 2)(

d

Hl

H

Hypothesis: A.G. Lebed (1986)

Strict theory in Q1D and Q2D: A.G. Lebed (2005)

Reentrant Superconductivity Phenomenon

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

(TMTSF)2ClO4 in a rotated magnetic field

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

25th Conference on Low-Temperature Physics, 2009

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

l(H 6T)0.48

tc / tb b* / 2c* Hc2c /Hc2

b GL

Lebed oscillations:

ta / tb 10

Quantum 3D -> 2D dimensional crossover

d

l(H)

d

2

H

Hypothesis: A.G. Lebed (1986)(Peierls substitution method)

Strict quantum theory: A.G. Lebed (2005)

l(H)

Schrodinger-like equation

Wave and Green functions

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

( , ) 2 cos( ') ( )y yx p p b x

Upper critical field at T=0

1 2( ) exp( ) 1 cos(2 / ) sin(2 / )c F c Fx ikx x v x v

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

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

Natalia Lebed

Electron wave functions

Superconducting order parameter

Gap Equation from Gor’kov’s equations

Theory versus Experiment

Unresolved Questions