Dynamical Layer Decoupling in a Stripe-ordered, High T_c Superconductor Page: 4 of 4
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The only evidence for the growth of comes indirectly
from the measurement of pab; by the time pab is "un-
measurably small," it has dropped by about 2 orders of
magnitude from its value just below Tspi, which implies
(since pab ~ -2) that has grown by about 1 order
of magnitude. Thus, if some other physics cuts off the
growth of in-plane SC correlations at long scales, we may
be justified in neglecting the effects of Hinter.
Defects in the pattern of charge stripe order have con-
sequences for both magnetic and SC orders. A dislo-
cation introduces frustration into the in-plane ordering,
resulting in the formation of a half-SC vortex bound to it.
For the single-plane problem, this means that the long-
distance physics is that of an XY spin-glass. Since there
is no finite T glass transition in 2D, the growth of will
be arrested at a large scale determined by the density
of dislocations. The same is true of the in-plane AFM
correlations. Both and (spin should be bounded above
by the charge stripe correlation length, Lch. From X-
ray scattering studies it is estimated that Lch ~ 70a [24].
This justifies the neglect of Hinter. Conversely, any defect
in the charge-stripe order spoils the symmetry responsi-
ble for the exact cancellation of the Josephson coupling
between neighboring planes. Finite T ordering of an XY
spin-glass is possible in 3D. We tentatively identify the
temperature at which pc -> 0 as a 3D glass transition. A
SC glass would result in the existence of equilibrium cur-
rents (spontaneous time-reversal breaking) and in glassy
long-time relaxations of the magnetization or pc.For x / 1/8, there is a tendency to develop discom-
mensurations in the stripe order, which, in turn, produce
regions of enhanced (or depressed) SC order with relative
sign depending on the number of intervening stripe peri-
ods. So long as the stripes are dilute, the energy depends
weakly on their precise spacing. Thus, to gain inter-
layer condensation energy, the system can self-organize
so that there are always an even number of intervening
stripes, thus producing an interplane Josephson coupling
j1,1 ~ I- 1/812. This, in turn, will lead to a dramatic
increase of the 3D SC Tc. An enhancement of interplane
coherence in any range of T triggered by the magnetic
field induced spin-flop transition would be a dramatic
confirmation of the physics discussed here.
Note added: It was pointed out to us that the state dis-
cussed here was considered by A. Himeda et al.[25] They
found that this is a good variational state for a t - t'- J
model at x ~ 1/8 for a narrow range of parameters.
We thank P. Abbamonte, S. Chakravarty, R. Jamei,
A. Kapitulnik, and D. J. Scalapino for discussions.
This work was supported in part by the National Sci-
ence Foundation, under grants DMR 0442537 (EF),
DMR 0531196 (SAK), DMR 0342832 (SCZ), and by
the Office of Science, U.S. Department of Energy un-
der Contracts DE-FG02-91ER45439 (EF), DE-FG02-
06ER46287 (SAK) DE-AC02-98CH10886 (JT) and DE-
AC03-76SF00515 (SCZ), by the Stanford Institute for
Theoretical Physics (EAK), and by a Yale Postdoctoral
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Berg, E. Dynamical Layer Decoupling in a Stripe-ordered, High T_c Superconductor, article, April 6, 2010; United States. (https://digital.library.unt.edu/ark:/67531/metadc926858/m1/4/: accessed May 4, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.