Bulk Superconductivity in Bismuth oxy-sulfide Bi
4
O
4
S
3
Shiva Kumar Singh
#
, Anuj Kumar
#
, Bhasker Gahtori
#
, Shruti Kirtan
$
, Gyaneshwar Sharma
$
, Satyabrata
Patnaik
$
and Veer P.S. Awana
#,*
#
Quantum Phenomena and Applications Division, National Physical Laboratory (CSIR)
Dr. K. S. Krishnan Road, New Delhi-110012, India
$
School of Physical Sciences, Jawaharlal Nehru University, New Delhi-110067, India
ABSTRACT: Very recent report
1
on observation of supercon-
ductivity in Bi
4
O
4
S
3
could potentially reignite the search for su-
perconductivity in a broad range of layered sulfides. We report
here synthesis of Bi
4
O
4
S
3
at 500
0
C by vacuum encapsulation
technique and its basic characterizations. Bi
4
O
4
S
3
is contaminated
by small amounts of Bi
2
S
3
and Bi impurities. The majority phase
is tetragonal I4/mmm space group with lattice parameters a =
3.9697(2)Å, c = 41.3520(1)Å. Both AC and DC magnetization
measurements confirmed that Bi
4
O
4
S
3
is a bulk superconductor
with superconducting transition temperature (T
c
) of 4.4K. Iso-
thermal magnetization (MH) measurements indicated closed loops
with clear signatures of flux pinning and irreversible behavior.
The lower critical field (H
c1
) at 2K, of the new superconductor is
found to be ~15 Oe. The magneto-transport R(T, H) measure-
ments showed a resistive broadening and decrease in T
c
(ρ=0) to
lower temperatures with increasing magnetic field. The extrapo-
lated upper critical field H
c2
(0) is ~ 31kOe with a corresponding
Ginzburg-Landau coherence length of ~100Å . In the normal state
the ρ ~ T
2
is not indicated. Hall resistivity data show non-linear
magnetic field dependence. Our magnetization and electrical
transport measurements substantiate the appearance of bulk su-
perconductivity in as synthesized Bi
4
O
4
S
3
. On the other hand
same temperature heat treated Bi is not superconducting, thus
excluding possibility of impurity driven superconductivity in the
newly discovered Bi
4
O
4
S
3
superconductor.
The discovery of superconductivity at 26K in LaO
1x
F
x
FeAs
2
has ignited a gold rush in the search of new superconductors.
Besides popular Fe based pnictides
2,3
and chalcogenides
4
, some
new interesting systems have also appeared. To name some, they
are CeNi
0.8
Bi
2
5
, BiOCuS
6
and doped LaCo
2
B
2
7
. The supercon-
ducting transition temperatures of these systems are around 4K.
These compounds are layered with relatively large unit cells and
mimic the superconducting characteristics of CuO
2
based HTSc
cuprates and FeAs based pnictides. A comprehensive theoretical
understanding of the mechanisms of CuO
2
and FeAs based high
temperature superconductivity is still awaited. The hybridization
of Cu-O and Fe-As in these strongly correlated systems along
with their multiband character has been of prime interest to the
scientific community
8,9
. After the recent observations of super-
conductivity in BiOCuS
6
and doped LaCo
2
B
2
7
, it is a pertinent
question to ask if CuS and CoB could also play the same role as
of CuO
2
and FeAs. In this regards, it is worth mentioning that
although superconductivity of BiOCuS could not be reproduced
10
,
the CeNi
0.8
Bi
2
and doped LaCo
2
B
2
still lack independent confir-
mation. For example the volume fraction of superconductivity in
CeNi
0.8
Bi
2
is very small
11
. In this sense, the observation of super-
conductivity at around 4K in Bi
4
O
4
S
3
1
has once again started the
debate; whether this newest series of superconductivity is intrinsic
or not. It is suggested that superconductivity of Bi
4
O
4
S
3
is BiS
2
based and doping mechanism is similar to that of cuprates and
pnictides
12,13
. The central question is whether the observed super-
conductivity in Bi
4
O
4
S
3
is intrinsic or it is being triggered by Bi
impurity in the matrix.
Bismuth has been a part of various superconducting com-
pounds, such as Bi based High Temperature cuprates (BSSCO)
14
,
Bi
3
Ni
15,16
and CeNi
0.8
Bi
2
5
compounds. On the other hand, pure
Bismuth is found in several phases, out of which ordinary
rhombohedral Bi phase is non-superconducting
17,18
, while some
other phases are found to be superconducting
19-23
. Various crystal-
lographic phases of pure Bi, which are superconducting in the
bulk phase, are Bi II, III and V (high-pressure phases of Bi) with
T
c
= 3.9K, 7.2K, and 8.5K
19-21
respectively. The fcc Bi phase
superconducts with T
c
~ 4K
22
; and amorphous Bi with T
c
= 6K
23
.
In the current communication, we report on the extensive char-
acterization of the newly discovered
1
Bi
4
O
4
S
3
superconductor.
The synthesized Bi
4
O
4
S
3
is crystallized in tetragonal structure
with space group I4/mmm. The main phase of the sample is con-
taminated with small impurities of Bi and Bi
2
S
3
. Bi
4
O
4
S
3
com-
pound is found to be bulk superconducting at around 4.4K, as
confirmed from magnetization and transport measurements. Inter-
estingly same route heat treated pure Bi is non-superconducting.
Bi is in rhombohedral phase and hence is non-superconducting.
Our results conclude that superconductivity of Bi
4
O
4
S
3
is intrinsic
and not driven by Bi impurity phase.
Bi
4
O
4
S
3
was synthesized by solid state reaction route via vacu-
um encapsulation. High purity Bi, Bi
2
O
3
and S were weighed in
right stoichiometric ratio and ground thoroughly in the glove box
under high purity argon atmosphere. The powders were subse-
quently pelletized and vacuum-sealed (10
-4
Torr) in separate
quartz tubes. Sealed quartz ampoules were placed in box furnace
and heat treated at 500
0
C for 18h followed by cooling to room
temperature naturally. The process was repeated twice. The X-ray
diffraction (XRD) pattern of the compounds was recorded on
Rigaku diffractometer. Rietveld refinement of XRD pattern was
carried out using FullProf software. The magnetization and
transport measurements were carried out using 14 Tesla Cryogen-
ic PPMS (Physical Property Measurement System).
The synthesized Bi
4
O
4
S
3
sample is gray in color. On the other
hand, Bi sample is of shiny silver color. The room temperature
XRD pattern for synthesized Bi and Bi
4
O
4
S
3
samples are shown in
Figure l (a).
Figure 1 (a). Rietveld refined room temperature X-ray diffraction
(XRD) patterns of Bi
4
O
4
S
3
and same temperature heat treated Bi.
Figure 1 (b). The schematic unit cell of the Bi
4
O
4
S
3
compound.
Color code: Voilet-Bismuth, Yellow-Sulfur and Green-Oxygen.
The Bi
4
O
4
S
3
sample is crystallized in tetragonal structure with
space group I4/mmm. Rietveld refinement of XRD patterns are
carried out using reported
1
Wyckoff positions. The positions and
lattice parameters are further refined. The lattice parameters thus
obtained are a = 3.9697 (2)Å and c = 41.3520 (1)Ǻ. The Wyckoff
positions of the Bi
4
O
4
S
3
compound are given in Table 1. The XRD
pattern of same temperature heat treated Bi, is also depicted in
Figure 1 (a), which is crystallized in clean rhombohedral phase. It
can be concluded from XRD results that the synthesized Bi
4
O
4
S
3
sample is nearly single phase with some impurities of
rhombohedral Bi and Bi
2
S
3
. Rhombohederal Bi is reported to be
non-superconducting
17,18
.
The structure of Bi
4
O
4
S
3
is still under debate within the space
group crystallization of I4/mmm or I -42m
1
. The representative
unit cell of the compound in I4/mmm space group crystallization
is shown in Figure 1 (b). The layered structure includes Bi
2
S
4
(rock-salt type)
,
Bi
2
O
2
(fluorite type) and SO
4
layers. Supercon-
ductivity is induced in BiS
2
layer due to Bi-6p and S-3p orbitals
hybridization. The theoretical calculations
13
show that, bands are
derived from Bi-6p
and in-plane S-3p
orbitals. These are dominat-
ing bands for electron conduction and superconductivity.
Atom
x
y
z
site
Fractional
occupancy
Bi1
0.0000
0.0000
0.0583 (4)
4e
1
Bi2
0.0000
0.0000
0.2074 (2)
4e
1
Bi3
0.0000
0.0000
0.3821 (2)
4e
1
S1
0.0000
0.0000
0.1383 (1)
4e
1
S2
0.0000
0.0000
0.2890(1)
4e
1
S3
0.0000
0.0000
0.5000
2b
1/2
O1
0.0000
0.5000
0.0884(1)
8g
1
O2
0.0000
0.3053(1)
0.4793(2)
16n
1/4
Table 1. Rietveld refined Wyckoff positions and fractional
occupancies of the atoms in Bi
4
O
4
S
3
.
Various atoms with their respective positions are labeled in
Figure 1(b) and their coordinates are provided in Table 1. Bismuth
(Bi1, Bi2 and Bi3) and Sulfur (S1 and S2) atoms occupy the 4e (0,
0, z) site. S3 atom is at 2b (0, 0, ½) site. O1 is situated at 8g (0,
½, z) and the O2 atom is positioned at 16n (0, y, z) site. The struc-
tural refinement indicates that the molecular composition is
Bi
3
O
3
S
2.25
. It is the normalization of Bi
4
O
4
S
3
composition by ¾.
The superconducting phase (i.e. Bi
4
O
4
S
3
or Bi
3
O
3
S
2.25
) is 25%
SO
4
deficient composition of the parent Bi
3
O
4
S
2.5
(Bi
6
O
8
S
5
) com-
pound
1
.
Figure 2. Temperature variation of DC Magnetization in ZFC and
FC mode for Bi
4
O
4
S
3
compound at 20Oe, onset T
c
is identified at
4.4K. Inset shows the expanded part of the same plot indicating
irreversible behavior.
The DC magnetic susceptibility of Bi
4
O
4
S
3
sample is shown in
Figure 2. The magnetization is done in both, FC (Field cooled)
and ZFC (Zero-field-cooled) protocols under applied magnetic
field of 20Oe.The compound shows sharp superconducting onset
at 4.4K, which is clear from the zoomed inset of Figure 2. There
is evidence for substantial flux trapping too. The bifurcation of
FC and ZFC below T
c
marks the irreversible region. The shielding
fraction as evidenced from ZFC diamagnetic susceptibility is
~95%. Both FC and ZFC magnetization data confirm the appear-
ance of bulk superconductivity in Bi
4
O
4
S
3
. In order to exclude the
role of Bi impurity in superconductivity of Bi
4
O
4
S
3
, we measured
the magnetization of the same temperature (500
0
C) heat treated Bi
and found the same to be non-superconducting (plot not shown).
It can be seen in Figure 1, that the 500
0
C heat treated Bi is crystal-
lized in non-superconducting
17,18
rhombohedral phase. This ex-
cludes the possibility of un-reacted Bi driven superconductivity in
Bi
4
O
4
S
3
. In fact the sufficient superconducting volume fraction
and large shielding (~95%) of our studied sample, discards the
possibility of the minor impurity phase driven superconductivity.
The AC susceptibility versus temperature χ(T) behavior of the
Bi
4
O
4
S
3
sample is exhibited in Figure 3. AC susceptibility is done
at 1kHz and 10Oe AC drive field. DC applied field is kept zero to
check the superconducting transition temperature and is increased
to 5kOe and 10kOe to further check the AC loses in the mixed
state. Both the real (χ
/
) and imaginary (χ
//
) part of AC susceptibil-
ity were measured. Real part (χ
/
) susceptibility shows sharp transi-
tion to diamagnetism at around 4.4K, confirming bulk supercon-
ductivity. The imaginary part on the other hand exhibits a single
sharp peak in positive susceptibility at around the same tempera-
ture. Presence of single sharp peak in χ
//
is reminiscent of better
superconducting grains coupling in studied Bi
4
O
4
S
3
superconduc-
tor. Under applied DC field of 5kOe the χ
/
diamagnetic transition
is shifted to lower temperature of 2.6K and the corresponding χ
//
peak is broadened and shifted to same lower temperature. This is
usual for a type-II superconductor. At 10kOe DC field neither χ
/
nor χ
//
show any transitions, indicative of rapid suppression of
superconductivity.
Figure 3. AC susceptibility χ(T) behavior of the Bi
4
O
4
S
3
sample at
frequency 1 kHz and AC drive amplitude 10Oe under various (0,
5, 10kOe) DC applied fields.
Figure 4 shows the isothermal MH curve of the sample at 2K,
up to applied field of 3kOe. Upper inset of the figure shows the
same up to 1kOe. The MH curve (lower inset) shows that the ini-
tial flux penetration and the deviation from linearity marks lower
critical field (H
c1
) of this compound ~15 Oe (at 2K). Wide open
MH loop of the studied Bi
4
O
4
S
3
compound demonstrates bulk
superconductivity.
Figure 4. Isothermal magnetization with field (MH) at 2K in an
applied field up to 3kOe. Insets of the figure show the same in
smaller field ranges. H
c1
(2K) is estimated to be 15Oe.
Figure 5 depicts the resistivity versus temperature (ρ-T) meas-
urement with and without applied magnetic field. The resistivity
of the sample decreases with temperature and confirms supercon-
ductivity with onset T
c
~4.4 K. The normal state conduction (inset
Figure 5) is of metallic type and a T
2
fitting is found to be inap-
propriate implying non-Fermi liquid behavior. With applied field
of 1, 2 and 5kOe, the T
c
(ρ = 0) decreases to 3.2, 2.7 and 2K.With
further higher fields of 10 and 20kOe, the T
c
(ρ = 0) state is not
observed and only T
c
(onset) is seen. As sketched in Figure 5, we
have estimated upper critical field H
c2
(T) by using the conserva-
tive procedure of intersection point between linear slope lines of
normal state resistivity and superconducting transition line. While
the applicability of WHH (Werthamer-Helfand-Hohenberg) ap-
proximation can be debated in this new superconductor, a simplis-
tic single band extrapolation leads to H
c2
(0) (= - 0.69 T
c
dH
c2
/dT|
Tc
) value of 31kOe. From this the Ginzburg-Landau co-
herence length
x

H
c2
)
1/2
is estimated to be ~100
Å
Figure 5. Resistivity vs. temperature (ρ-T) behavior of Bi
4
O
4
S
3
in
various applied fields of 0, 1, 2, 5, 10 and 20kOe in superconduct-
ing region; inset shows the zero field ρ-T in extended temperature
range of 2-300K.
A strong magneto-resistance in the normal state is also seen
that can possibly be ascribed to reasons similar to extra Mg impu-
rity in MgB
2
i.e. due to Bi impurity in the matrix. It is predicted
by the theoretical calculations that superconductivity in BiS
2
lay-
ers is of multiband type
13,24
. In Figure 6 we plot the Hall resistivi-
ty as a function of magnetic field at 10K. The dominance of elec-
tronic charge carrier in normal state conduction mechanism is
confirmed. Strong non-linearity is observed with increasing mag-
netic field that is suggestive of the deviations from single band
analysis.
The Hall coefficient [Figure 6 Inset (a)] is field dependent and
the carrier concentration at low field is estimated to be ~1.53×10
19
per cm
3
at 10K that increases to ~2.4×10
19
per cm
3
at 300K.
Figure 6. Hall resistivity is plotted as a function of magnetic field
at T = 10K. Inset (a) shows variation of Hall coefficient as a func-
tion of field. Inset (b) shows normalized magneto-resistance at
5K, implying non- H
2
dependence.
In the inset (b) of Figure 6, we show


versus H
2
at
5K for fields up to 20kOe. One of the established features of
multiband superconductivity is the dependence

 H
2
in
low field rangeEvidently, in this regime, this dependence is not
seen. Taken in totality, we can conclude that while our Hall resis-
tivity data may demand incorporation of more rigorous analysis,
the magneto-resistance aspects in Bi
4
O
4
S
3
could be well due to Bi
impurity.
In conclusion we have synthesized the new layered sulfide
Bi
4
O
4
S
3
superconductor and established its bulk superconductivi-
ty by magnetization and transport measurements. Detailed
Reitveld analysis determines the molecular composition as
Bi
3
O
3
S
2.25
. The coherence length is estimated to be ~100Å. A
departure from strong electron-electron correlation in the normal
state is indicated. The Hall resistivity yields non-linear magnetic
field dependence.
AUTHOR INFORMATION
*
Corresponding Author
Dr. V. P. S. Awana, Senior Scientist
Ph. +91-11-45609357, Fax-+91-11-45609310
Author Contributions
All authors contributed equally.
ACKNOWLEDGMENT
This work is supported by DAE-SRC outstanding investigator
award scheme on search for new superconductors. Authors from
NPL would like to thank their Director Prof. R.C. Budhani for his
keen interest in the present work. Shiva Kumar and Anuj Kumar
are thankful to CSIR-India for providing the financial support
during their research. Shruti and G. Sharma acknowledge UGC
for research fellowships. S. Patnaik thanks AIRF, JNU for the
PPMS facility.
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