The magnetoresistance of 50 nm thick epilayers of doped germanium is measured at a range of temperatures down to 1.6 K. Both n- and p-type devices show quantum corrections to the conductivity in an applied magnetic field, with n-type devices displaying weak localization and p-type devices showing weak antilocalization. From fits to these data using the Hikami-Larkin-Nagaoka model, the phase coherence length of each device is extracted, as well as the spin diffusion length of the p-type device. We obtain phase coherence lengths as large as 325 nm in the highly doped n-type device, presenting possible applications in quantum technologies. The decay of the phase coherence length with temperature is found to obey the same power law of lϕ ∝ Tc, where c = −0.68 ± 0.03, for each device, in spite of the clear differences in the nature of the conduction. In the p-type device, the measured spin diffusion length does not change over the range of temperatures for which weak antilocalization can be observed. The presence of a spin-orbit interaction manifested as weak antilocalization in the p-type epilayer suggests that these structures could be developed for use in spintronic devices such as the spin-FET, where significant spin lifetimes would be important for efficient device operation.

1.
C.
Shen
,
T.
Trypiniotis
,
K. Y.
Lee
,
S. N.
Holmes
,
R.
Mansell
,
M.
Husain
,
V.
Shah
,
H.
Kurebayashi
,
I.
Farrer
,
C. H.
deGroot
,
D. R.
Leadley
,
G.
Bell
,
E. H. C.
Parker
,
T.
Whall
,
D. A.
Ritchie
, and
C. H. W.
Barnes
,
Appl. Phys. Lett.
97
,
162104
(
2010
).
2.
Y.
Fujita
,
M.
Yamada
,
S.
Yamada
,
T.
Kanashima
,
K.
Sawano
, and
K.
Hamaya
,
Phys. Rev. B
94
,
245302
(
2016
).
3.
P. J.
Newton
,
J.
Llandro
,
R.
Mansell
,
S. N.
Holmes
,
C.
Morrison
,
J.
Foronda
,
M.
Myronov
,
D. R.
Leadley
, and
C. H. W.
Barnes
,
Appl. Phys. Lett.
106
,
172102
(
2015
).
4.
S. N.
Holmes
,
P. J.
Newton
,
J.
Llandro
,
R.
Mansell
,
C. H. W.
Barnes
,
C.
Morrison
, and
M.
Myronov
,
J. Appl. Phys.
120
,
085702
(
2016
).
5.
Y.
Zhou
,
W.
Han
,
L.-T.
Chang
,
F.
Xiu
,
M.
Wang
,
M.
Oehme
,
I. A.
Fischer
,
J.
Schulze
,
R. K.
Kawakami
, and
K. L.
Wang
,
Phys. Rev. B
84
,
125323
(
2011
).
6.
Y.
Hu
,
H. O. H.
Churchill
,
D. J.
Reilly
,
Jie
Xiang
,
C. M.
Lieber
, and
C. M.
Marcus
,
Nat. Nanotechnol.
2
,
622
(
2007
).
7.
H.
Saito
,
S.
Watanabe
,
Y.
Mineno
,
S.
Sharma
,
R.
Jansen
,
S.
Yuasa
, and
K.
Ando
,
Solid State Commun.
151
,
1159
(
2011
).
8.
A.
Jain
,
J.-C.
Rojas-Sanchez
,
M.
Cubukcu
,
J.
Peiro
,
J. C.
Le Breton
,
E.
Prestat
,
C.
Vergnaud
,
L.
Louahadj
,
C.
Portemont
,
C.
Ducruet
,
V.
Baltz
,
A.
Barski
,
P.
Bayle-Guillemaud
,
L.
Vila
,
J.-P.
Attané
,
E.
Augendre
,
G.
Desfonds
,
S.
Gambarelli
,
H.
Jaffrès
,
J.-M.
George
, and
M.
Jamet
,
Phys. Rev. Lett.
109
,
106603
(
2012
).
9.
F.
Pezzoli
,
F.
Bottegoni
,
D.
Trivedi
,
F.
Ciccacci
,
A.
Giorgioni
,
P.
Li
,
S.
Cecchi
,
E.
Grilli
,
Y.
Song
,
M.
Guzzi
,
H.
Dery
, and
G.
Isella
,
Phys. Rev. Lett.
108
,
156603
(
2012
).
10.
C.
Payette
,
K.
Wang
,
P. J.
Koppinen
,
Y.
Dovzhenko
,
J. C.
Sturm
, and
J. R.
Petta
,
Appl. Phys. Lett.
100
,
043508
(
2012
).
11.
S.
Dushenko
,
M.
Koike
,
Y.
Ando
,
T.
Shinjo
,
M.
Myronov
, and
M.
Shiraishi
,
Phys. Rev. Lett.
114
,
196602
(
2015
).
12.
E.
Yablonovitch
,
H. W.
Jiang
,
H.
Kosaka
,
H. D.
Robinson
,
D. S.
Rao
, and
T.
Szkopek
,
Proc IEEE
91
,
761
(
2003
).
13.
E. J.
Loren
,
J.
Rioux
,
C.
Lange
,
J. E.
Sipe
,
H. M.
van Driel
, and
A. L.
Smirl
,
Phys. Rev. B
84
,
214307
(
2011
).
14.
C.
Guite
and
V.
Venkataraman
,
Appl. Phys. Lett.
101
,
252404
(
2012
).
15.
J.
Foronda
,
C.
Morrison
,
J. E.
Halpin
,
S. D.
Rhead
, and
M.
Myronov
,
J. Phys.: Condens. Matter
27
,
022201
(
2015
).
16.
C.
Morrison
,
C.
Casteleiro
,
D. R.
Leadley
, and
M.
Myronov
,
Appl. Phys. Lett.
109
,
102103
(
2016
).
17.
S.
Datta
and
B.
Das
,
Appl. Phys. Lett.
56
,
665
667
(
1990
).
18.
S.
Hikami
,
A. I.
Larkin
, and
Y.
Nagaoka
,
Prog. Theor. Phys.
63
,
707
710
(
1980
).
19.
F.
Rortais
,
S.
Oyarzún
,
F.
Bottegoni
,
J.-C.
Rojas-Sánchez
,
P.
Laczkowski
,
A.
Ferrari
,
C.
Vergnaud
,
C.
Ducruet
,
C.
Beigné
,
N.
Reyren
,
A.
Marty
,
J.-P.
Attané
,
L.
Vila
,
S.
Gambarelli
,
J.
Widiez
,
F.
Ciccacci
,
H.
Jaffrès
,
J.-M.
George
, and
M.
Jamet
,
J. Phys. C
28
,
165801
(
2016
).
20.
N. W.
Ashcroft
and
N. D.
Mermin
, Solid State Physics (Saunders,
1976
).
21.
M. M.
Parish
and
P. B.
Littlewood
,
Nature
426
,
162
165
(
2003
).
22.
J.
Chen
,
H.-G.
Piao
,
Z.
Luo
, and
X.
Zhang
,
Appl. Phys. Lett.
106
,
173503
(
2015
).
23.
S.
Ghosh
,
D.
Leonhardt
, and
S. M.
Han
,
J. Appl. Phys.
115
,
094507
(
2014
).
24.
D. J.
Bishop
,
R. C.
Dynes
, and
D. C.
Tsui
,
Phys. Rev. B
26
,
773
779
(
1982
).
25.
E. M.
Likovich
,
K J.
Russell
,
E. W.
Petersen
, and
V.
Narayanamurti
,
Phys. Rev. B
80
,
245318
(
2009
).
26.
S.
Natarajan
,
M.
Agostinelli
,
S.
Akbar
,
M.
Bost
,
A.
Bowonder
,
V.
Chikarmane
,
S.
Chouksey
,
A.
Dasgupta
,
K.
Fischer
,
Q.
Fu
,
T.
Ghani
,
M.
Giles
,
S.
Govindaraju
,
R.
Grover
,
W.
Han
,
D.
Hanken
,
E.
Haralson
,
M.
Haran
,
M.
Heckscher
,
R.
Heussner
,
P.
Jain
,
R.
James
,
R.
Jhaveri
,
I.
Jin
,
H.
Kam
,
E.
Karl
,
C.
Kenyon
,
M.
Liu
,
Y.
Luo
,
R.
Mehandru
,
S.
Morarka
,
L.
Neiberg
,
P.
Packan
,
A.
Paliwal
,
C.
Parker
,
P.
Patel
,
R.
Patel
,
C.
Pelto
,
L.
Pipes
,
P.
Plekhanov
,
M.
Prince
,
S.
Rajamani
,
J.
Sandford
,
B.
Sell
,
S.
Sivakumar
,
P.
Smith
,
B.
Song
,
K.
Tone
,
T.
Troeger
,
J.
Wiedemer
,
M.
Yang
, and
K.
Zhang
, in
2014 IEEE International Electron Devices Meeting
(
2014
), pp.
3.7.1
3.7.3
.
27.
I.
Zutic
,
J.
Fabian
, and
S.
Das Sarma
,
Rev. Mod. Phys.
76
,
323
410
(
2004
).
28.
R.
Moriya
,
K.
Sawano
,
Y.
Hoshi
,
S.
Masubuchi
,
Y.
Shiraki
,
A.
Wild
,
C.
Neumann
,
G.
Abstreiter
,
D.
Bougeard
,
T.
Koga
, and
T.
Machida
,
Phys. Rev. Lett.
113
,
086601
(
2014
).
You do not currently have access to this content.