We present the first theoretical evidence of chemical composition driven superconductivity in acceptor-doped silicon and germanium, using density functional theory. We examine the concentration dependence of Tc in B-doped Si and Ge and predict that B-doped Ge is a superconductor with a slightly higher Tc than B-doped Si. We show that there is a critical concentration above which B-doped Si and Ge become superconducting and estimate it to be 2.6% in Si:B and 2.2% in Ge:B. Considering the Al-doped Si and Ge, we point out the decisive role of the chemical element in the hole-doping scenario.

1.
M. L.
Cohen
,
Rev. Mod. Phys.
36
,
240
(
1964
).
2.
M. L.
Cohen
,
Phys. Rev.
134
,
A511
(
1964
).
3.
R. A.
Hein
,
J. W.
Gibson
,
R.
Mazelsky
,
R. C.
Miller
, and
J. K.
Hulm
,
Phys. Rev. Lett.
12
,
320
(
1964
).
4.
J. F.
Schooley
,
W. R.
Hosler
,
E.
Ambler
,
J. H.
Becker
,
M. L.
Cohen
, and
C. S.
Koonce
,
Phys. Rev. Lett.
14
,
305
(
1965
).
5.
A.
Lasbley
,
R.
Granger
, and
S.
Rolland
,
Solid State Commun.
13
,
1045
(
1973
).
6.
J.
Nagamatsu
,
N.
Nakagawa
,
T.
Muranaka
,
Y.
Zenitani
, and
J.
Akimitsu
,
Nature (London)
410
,
63
(
2001
).
7.
J. M.
An
and
W. E.
Pickett
,
Phys. Rev. Lett.
86
,
4366
(
2001
).
8.
E. A.
Ekimov
,
V. A.
Sidorov
,
E. D.
Bauer
,
N. N.
Mel’nik
,
N. J.
Curro
,
J. D.
Thompson
, and
S. M.
Stishov
,
Nature (London)
428
,
542
(
2004
).
9.
Y.
Takano
,
M.
Nagao
,
I.
Sakaguchi
,
M.
Tachiki
, and
T.
Hatano
,
Appl. Phys. Lett.
85
,
2851
(
2004
).
10.
E.
Bustarret
,
J.
Kačmarčik
,
C.
Marcenat
,
E.
Gheeraert
,
C.
Cytermann
,
J.
Marcus
, and
T.
Klein
,
Phys. Rev. Lett.
93
,
237005
(
2004
).
11.
V. A.
Sidorov
,
E. A.
Ekimov
,
S. M.
Stishov
,
E. D.
Bauer
, and
J. D.
Thompson
,
Phys. Rev. B
71
,
060502
(
2005
).
12.
L.
Boeri
,
J.
Kortus
, and
O. K.
Andersen
,
Phys. Rev. Lett.
93
,
237002
(
2004
).
13.
X.
Blase
,
Ch.
Adessi
, and
D.
Connétable
,
Phys. Rev. Lett.
93
,
237004
(
2004
).
14.
F.
Giustino
,
J. R.
Yates
,
I.
Souza
,
M. L.
Cohen
, and
G.
Louie
,
Phys. Rev. Lett.
98
,
047005
(
2007
), and references therein.
15.
E.
Bustarret
,
C.
Marcenat
,
P.
Achatz
,
J.
Kačmarčik
,
F.
Lévi
,
A.
Huxley
,
L.
Ortéga
,
E.
Bourgeois
,
X.
Blase
,
D.
Débarre
, and
J.
Boulmer
,
Nature (London)
444
,
465
(
2006
).
16.
E.
Bourgeois
and
X.
Blase
,
Appl. Phys. Lett.
90
,
142511
(
2007
).
17.
W. L.
McMillan
,
Phys. Rev.
167
,
331
(
1968
).
18.
η is calculated within the rigid-muffin-tin approximation;
H. L.
Skriver
and
I.
Mertig
,
Phys. Rev. B
32
,
4431
(
1985
).
19.
K.
Kádas
,
L.
Vitos
,
B.
Johansson
, and
J.
Kollár
,
Phys. Rev. B
75
,
035132
(
2007
).
20.
P.
Hohenberg
and
W.
Kohn
,
Phys. Rev.
136
,
B864
(
1964
).
21.
J. P.
Perdew
,
K.
Burke
, and
M.
Ernzerhof
,
Phys. Rev. Lett.
77
,
3865
(
1996
).
22.
L.
Vitos
,
Phys. Rev. B
64
,
014107
(
2001
).
23.
O. K.
Andersen
,
O.
Jepsen
, and
G.
Krier
,
Lectures on Methods of Electronic Structure Calculation
(
World Scientific
,
Singapore
,
1994
), p.
63
.
24.
P.
Soven
,
Phys. Rev.
156
,
809
(
1967
);
B. L.
Györffy
,
Phys. Rev. B
5
,
2382
(
1972
).
25.
L.
Vitos
,
I. A.
Abrikosov
, and
B.
Johansson
,
Phys. Rev. Lett.
87
,
156401
(
2001
).
26.
Springer Handbook of Condensed Matter and Materials Data
, edited by
W.
Martienssen
and
H.
Warlimont
(
Springer
,
New York
,
2005
).
27.
CRC Handbook of Chemistry and Physics
, edited by
D. R.
Lide
(
CRC
,
Boca Raton
,
1996
).
28.
G.
Grimvall
,
Thermophysical Properties of Materials
(
North-Holland
,
Amsterdam
,
1999
).
29.

λ=η(Mω2), where η is the Hopfield parameter, M the atomic mass, and ω2 an average phonon frequency obtained from the Debye temperature (Ref. 18).

You do not currently have access to this content.