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-
Selected properties of some of the high-
Tc superconductors. dagger indicates a
single-crystal measurement. The coherence length quoted for
ceramic sample is an average one. NR means that the
parameter was not reported in the cited reference.
-
Tc values for C8KHg
as reported by several research groups. There is almost
universal agreement on Tc 1.9 K.
-
Tc values for C4KHg
as reported by several research groups. There is a great
deal of scatter in the values, which seem to fall primarily
into two groups, with most likely values being about 0.8
and 1.5 K. dagger indicates a broad
superconducting transition. ddagger
indicates a liquid-nitrogen quenched sample.[58]
-
Parameters obtained from fits to the
C4KHg neutron diffraction data. NHg
is the number of Hg atoms per 4 carbon atoms. Additional
parameters for the hydrogenated sample: hydrogen position =
3.9 Å; hydrogen/carbon ratio = 1.0. The parameters
reported for the hydrogenated sample are not well
constrained since the residual in this case is considerably
higher than for the other diffraction patterns.
-
Stoichiometries of the KHg-GIC's as
determined from various experiments. ND = not determined by
this experiment; NR = not reported by the authors of the
cited reference.
-
Transition temperatures Tc and
reduced widths Delta Tc/Tc for
a sampling of C4KHg specimens.
-
Calculated values of kappa for
selected C4KHg samples. The Hc2(0)
numbers come from linear extrapolation of the
Hc2(T) data (see Section
), and so are independent of the
Hc2(theta) measurements.
-
Hc(t) values for
C4KHg obtained from fits to Eqn.
. For comparison, Hc(t) calculated from the
specific heat data for a Tc = 1.53 K sample is
also included. The samples' Hc2(theta)
data are shown in Figs. ,
, and .
-
Residuals for fits to
Hc2(theta) using the AGL formula and the
Tinkham formula, both with and without type I behavior. The
residual index cal R is defined in Eqn.
, the AGL formula is Eqn.
, and the Tinkham formula is Eqn.
. Eqn. shows how each of
these formulae was modified to account for possible type I
superconductivity.
-
Parameters obtained from least-squares
fits of Eqn. to C4KHg
Hc2(T) data. The individual specimens are
labeled by the value of Tc obtained from the
zero-field sweeps. The other parameters, including the
``fit'' Tc, are obtained from the least-squares
linear fits to the critical field data that are shown in
Figure . The residual
cal R is calculated using Eqn.
. NR denotes that the parameter was not reported in the
cited reference.
-
Comparison of the anisotropy parameter
epsilon as obtained from Hc2(T) and
Hc2(theta) fits. The Hc2(T)
epsilon numbers were obtained from the ratio of the
slopes. The Hc2(theta) numbers were
obtained from fits using Eqns.
(AGL) and (Tinkham's formula),
with type I superconductivity allowed for small
theta. In each case, the TF fits had lower residuals
than the AGL fits (see Table
). NA indicates that a TF fit was not performed on this
data; NR denotes information that was not reported in the
cited reference.
-
Values of the KLB parameter r for
the GIC superconductors. means that the value of r was
calculated from parameters in the cited references.
-
Comparison for C4KHg of two
different methods for determination of Maki's alpha
parameter.[262]
The orientation indicated is that of the applied magnetic
field. In parentheses it is noted which of the two halves
of Eqn. was used.
-
Values of Lambdaep,
the electron-phonon coupling parameter, for GIC
superconductors. Tc = 0.73 K[120] is used for C4KHg
since no transition was observed down to 0.8 K during the
specific-heat measurement.[8] Values of
Lambdaep for the KH-GIC's are gathered in
Table .
-
A summary of the known differences
between the pink and gold C4KHg. The numbers
here are representative of a typical sample of its type,
although some variation was observed from sample to sample.
Lambdaep is McMillan's electron-phonon
coupling parameter.[165] kappa is the
Ginzburg-Landau parameter discussed in Section
; kappa ;SPMlt; 1/sqrt2 indicates
type I superconductivity. The density of states, N(0),
shown here was calculated in Section
from the Hc2(theta) data. NA means not
applicable.
-
Superconducting transition temperatures
of the KH-GIC's and C8K. Two methods of
preparation are possible: direct intercalation of KH powder
into graphite,[76]
and intercalation of K into graphite to form
C8K, followed by hydrogen chemisorption.[78] Single-phase specimens
are difficult to obtain because of slow hydrogen sorption
kinetics.[231,78]
-
Parameters relevant to superconductivity
in the KH- and RbH-GIC's. Adapted from Ref. [78]. The density of states has
been corrected for the electron-phonon coupling.
dagger means a calculated parameter; ?
means not measured.
-
Effect of hydrogenation on Tc
in KHg-GIC's. All the Tc's are for
C4KHg, except for the blue 1.879 K sample, which
was C8KHg. dagger indicates
the second hydrogenation of a previously hydrogenated
sample. * indicates that deuterium rather than
hydrogen was added. S indicates that the
remeasurement of a transition one year after
hydrogenation.
-
Superconducting transition temperatures
of the MBi-GIC's and related alloys. For Ref.[36], the volume fraction column
actually contains the effective areal fraction of
superconductivity, as explained in Section
. NR=Not reported. NA=Not applicable.
-
Electronic parameters for selected
superconducting GIC's. The stage and phase of each compound
are listed in parentheses. The compounds are listed in
order of increasing superconducting transition temperature.
Omegap is the unscreened plasma
frequency.
-
Two tables prepared by McRae and
Marêché[166] which list the c-axis
resistivity and resistivity anisotropy of many GIC's, both
donors and acceptors. A==
rhoc/rhoa. Correct sources for
these numbers are given in Ref. [166].
5em
Abbreviations and Symbols
Abbreviations and Symbols Used in This Work
-
Hc1
-
lower critical field
-
Hc2
-
upper critical field
-
Hc3
-
surface-nucleated critical field
-
Hc
-
thermodynamic critical field
-
GIC
-
graphite intercalation compound
-
TMDC
-
transition metal dichalcogenide
-
xi
-
superconducting coherence length
-
Lambda
-
superconducting penetration depth
-
Lambdaep
-
electron-phonon coupling parameter
-
Lambdatr
-
superconductivity cleanliness parameter
-
kappa
-
Ginzburg-Landau parameter; see Eqn.
-
Ic
-
c-axis lattice constant (i.e., multilayer period) for a
GIC
-
Tc
-
zero-field superconducting critical temperature
-
TMDCIC
-
transition metal dichalcogenide intercalation compounds
-
epsilon
-
critical field anisotropy parameter == Hc2,||
^c/Hc2, _|_ ^c
-
t
-
reduced temperature == T/Tc
-
S/N
-
superconductor/normal metal
-
S/I
-
superconductor/insulator
-
S/M
-
superconductor/magnetic material
-
HOPG
-
highly oriented pyrolytic graphite
-
theta
-
angle between the graphite c-axis and the applied field
(See Figure a.)
-
fC
-
charge transfer per carbon atom from the intercalant
states
-
SdH
-
Shubnikov-de Haas
-
DL
-
Dresselhaus-Leung model[65]
-
FS
-
Fermi surface
-
BR
-
Blinowski-Rigaux model[27]
-
HWHM
-
half-width-at-half-maximum-intensity of a peak
-
DPE
-
differential paramagnetic effect
-
AGL
-
anisotropic Ginzburg-Landau model[244]
-
Gamma
-
linear specific heat coefficient (see Eqn.
)
-
cal D
-
demagnetization factor
-
cal R
-
residual quality-of-fit parameter
-
r
-
Klemm-Luther-Beasley dimensionality-crossover
parameter[131]
-
WHH
-
Werthamer, Helfand and Hohenberg[262]
-
KLB
-
Klemm, Luther and Beasley[131]
-
FS
-
Fermi surface
-
PC
-
positive curvature
-
T*
-
dimensionality crossover temperature in layered
superconductors
-
BKC
-
Biagi, Kogan, and Clem[22]
-
alpha
-
parameter which determines the importance of spin effects
on Hc2(T)
-
HP
-
Pauli limiting field
-
N(0)
-
electronic density of states at the Fermi level
-
N( EF)
-
electronic density of states at the Fermi level
-
TEM
-
transmission electron microscopy
-
RBS
-
Rutherford backscattering spectrometry
-
CDW
-
charge-density wave
-
thetaD
-
the Debye temperature; characteristic energy of an
acoustic phonon
-
TE
-
Einstein temperature; characteristic energy of an optic
phonon
-
TCDW
-
charge-density wave onset temperature
-
2H, 1T, 4H b
-
names of crystal structures of the transition metal
dichalcogenides[90]
-
CP
-
heat capacity at constant pressure
1em
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alchaiken@gmail.com
(Alison Chaiken)
Wed Oct 11 22:59:57 PDT 1995