The quantum oscillatory magnetization M(B) and chemical potential μ(B) of a two-dimensional (2D) electron system provide important and complementary information about its ground state energy at low temperature T. We developed a technique that provides both quantities in the same cool-down process via a decoupled static operation and resonant excitation of a micromechanical cantilever. On InGaAs/InP heterostructures, we observed beating patterns in both M(B) and μ(B) attributed to spin-orbit interaction. A significantly enhanced sensitivity in μ enabled us to extract Rashba and Dresselhaus parameters with high accuracy. The technique is powerful for detailed investigations on the electronic properties of 2D materials.
References
1.
S. A. J.
Wiegers
, M.
Specht
, L. P.
Lévy
, M. Y.
Simmons
, D. A.
Ritchie
, A.
Cavanna
, B.
Etienne
, G.
Martinez
, and P.
Wyder
, Phys. Rev. Lett.
79
, 3238
(1997
).2.
M. A.
Wilde
, J. I.
Springborn
, O.
Roesler
, N.
Ruhe
, M. P.
Schwarz
, D.
Heitmann
, and D.
Grundler
, Phys. Status Solidi B
245
, 344
(2008
).3.
H. L.
Störmer
, T.
Haavasoja
, V.
Narayanamurti
, A. C.
Gossard
, and W.
Wiegmann
, J. Vac. Sci. Technol., B
1
, 423
(1983
).4.
I.
Meinel
, D.
Grundler
, D.
Heitmann
, A.
Manolescu
, V.
Gudmundsson
, W.
Wegscheider
, and M.
Bichler
, Phys. Rev. B
64
, 121306
(2001
).5.
A.
Usher
and M.
Elliott
, J. Phys.: Condens. Matter
21
, 103202
(2009
).6.
A. C.
Bleszynski-Jayich
, W. E.
Shanks
, and J. G. E.
Harris
, Appl. Phys. Lett.
92
, 013123
(2008
).7.
J.
Jang
, D. G.
Ferguson
, V.
Vakaryuk
, R.
Budakian
, S. B.
Chung
, P. M.
Goldbart
, and Y.
Maeno
, Science
331
, 186
(2011
).8.
J.
Jang
, R.
Budakian
, and Y.
Maeno
, Appl. Phys. Lett.
98
, 132510
(2011
).9.
M. A.
Wilde
, B.
Rupprecht
, F.
Herzog
, A.
Ibrahim
, and D.
Grundler
, Phys. Status Solidi B
251
, 1710
(2014
).10.
M. A.
Wilde
, D.
Reuter
, C.
Heyn
, A. D.
Wieck
, and D.
Grundler
, Phys. Rev. B
79
, 125330
(2009
).11.
B.
Rupprecht
, S.
Heedt
, H.
Hardtdegen
, T.
Schäpers
, C.
Heyn
, M. A.
Wilde
, and D.
Grundler
, Phys. Rev. B
87
, 035307
(2013
).12.
Y. Y.
Wei
, J.
Weis
, K.
v. Klitzing
, and K.
Eberl
, Appl. Phys. Lett.
71
, 2514
(1997
).13.
V. T.
Dolgopolov
, A. A.
Shashkin
, A. V.
Aristov
, D.
Schmerek
, W.
Hansen
, J. P.
Kotthaus
, and M.
Holland
, Phys. Rev. Lett.
79
, 729
(1997
).14.
J. P.
Eisenstein
, L. N.
Pfeiffer
, and K. W.
West
, Phys. Rev. B
50
, 1760
(1994
).15.
L. H.
Ho
, L. J.
Taskinen
, A. P.
Micolich
, A. R.
Hamilton
, P.
Atkinson
, and D. A.
Ritchie
, Appl. Phys. Lett.
96
, 212102
(2010
).16.
D.
Zhang
, X.
Huang
, W.
Dietsche
, K.
von Klitzing
, and J. H.
Smet
, Phys. Rev. Lett.
113
, 076804
(2014
).17.
S.
Kim
, I.
Jo
, D. C.
Dillen
, D. A.
Ferrer
, B.
Fallahazad
, Z.
Yao
, S. K.
Banerjee
, and E.
Tutuc
, Phys. Rev. Lett.
108
, 116404
(2012
).18.
K.
Lee
, B.
Fallahazad
, J.
Xue
, D. C.
Dillen
, K.
Kim
, T.
Taniguchi
, K.
Watanabe
, and E.
Tutuc
, Science
345
, 58
(2014
).19.
R.
Winkler
, Spin-Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems
, Springer Tracts in Modern Physics Vol. 191
(Springer, Berlin
, Heidelberg
, 2003
).20.
S.
Datta
and B.
Das
, Appl. Phys. Lett.
56
, 665
(1990
).21.
J.
Schliemann
, J. C.
Egues
, and D.
Loss
, Phys. Rev. Lett.
90
, 146801
(2003
).22.
J.
Nitta
, T.
Akazaki
, H.
Takayanagi
, and T.
Enoki
, Phys. Rev. Lett.
78
, 1335
(1997
).23.
D.
Grundler
, Phys. Rev. Lett.
84
, 6074
(2000
).24.
P.
Miro
, M.
Audiffred
, and T.
Heine
, Chem. Soc. Rev.
43
, 6537
(2014
).25.
H.
Hardtdegen
, R.
Meyer
, M.
Hollfelder
, T.
Schäpers
, J.
Appenzeller
, H.
Løken-Larsen
, T.
Klocke
, C.
Dieker
, B.
Lengeler
, H.
Lüth
, and W.
Jäger
, J. Appl. Phys.
73
, 4489
(1993
).26.
N.
Ruhe
, J. I.
Springborn
, C.
Heyn
, M. A.
Wilde
, and D.
Grundler
, Phys. Rev. B
74
, 235326
(2006
).27.
J. I.
Springborn
, N.
Ruhe
, C.
Heyn
, M. A.
Wilde
, D.
Heitmann
, and D.
Grundler
, Physica E
34
, 172
(2006
).28.
B.
Das
, S.
Datta
, and R.
Reifenberger
, Phys. Rev. B
41
, 8278
(1990
).29.
J.
Knobbe
, “Rashba-Effekt in niedrigdimensionalen InGaAs/InP Strukturen
”, Ph.D. thesis (RWTH Aachen
, 2004
).30.
T.
Schäpers
, G.
Engels
, J.
Lange
, T.
Klocke
, M.
Hollfelder
, and H.
Lüth
, J. Appl. Phys.
83
, 4324
(1998
).31.
D.
Zhang
, J. Phys. A: Math. Gen.
39
, L477
(2006
).32.
M. A.
Wilde
and D.
Grundler
, New J. Phys.
15
, 115013
(2013
).33.
A. H.
MacDonald
, H. C. A.
Oji
, and K. L.
Liu
, Phys. Rev. B
34
, 2681
(1986
).© 2015 AIP Publishing LLC.
2015
AIP Publishing LLC
You do not currently have access to this content.