Three-dimensional (3D) deformation of two-dimensional materials offers a route toward band structure engineering. In the case of graphene, a spatially nonuniform deformation and strain are known to generate an effective magnetic field, i.e., a pseudomagnetic field, although experimental realization of this effect in electronic devices has been challenging. Here, we engineer the 3D deformation profile of graphene to create a strain superlattice and study the resultant magnetotransport behavior both experimentally and via quantum transport simulations. We observe a weakening of superlattice features as we increase the magnetic field, which we find to be consistent with competing interactions between the external magnetic field and the strain-induced pseudomagnetic field. Our results demonstrate that strain superlattices are promising platforms to modulate the band structure and engineer the electronic transport behavior in graphene.

1.
K. S.
Novoselov
,
A. K.
Geim
,
S. V.
Morozov
,
D.
Jiang
,
M. I.
Katsnelson
,
I. V.
Grigorieva
,
S. V.
Dubonos
, and
A. A.
Firsov
,
Nature
438
,
197
(
2005
).
2.
Y.
Zhang
,
Y.-W.
Tan
,
H. L.
Stormer
, and
P.
Kim
,
Nature
438
,
201
(
2005
).
3.
J. L.
Mañes
,
Phys. Rev. B
76
,
045430
(
2007
).
4.
F.
Guinea
,
M. I.
Katsnelson
, and
A. K.
Geim
,
Nat. Phys.
6
,
30
(
2010
).
5.
T.
Low
and
F.
Guinea
,
Nano Lett.
10
,
3551
(
2010
).
6.
M.
Settnes
,
S. R.
Power
,
M.
Brandbyge
, and
A.-P.
Jauho
,
Phys. Rev. Lett.
117
,
276801
(
2016
).
7.
X.-P.
Zhang
,
C.
Huang
, and
M. A.
Cazalilla
,
2D Mater.
4
,
024007
(
2017
).
8.
P.
Ghaemi
,
J.
Cayssol
,
D. N.
Sheng
, and
A.
Vishwanath
,
Phys. Rev. Lett.
108
,
266801
(
2012
).
9.
N.
Levy
,
S. A.
Burke
,
K. L.
Meaker
,
M.
Panlasigui
,
A.
Zettl
,
F.
Guinea
,
A. H.
Castro Neto
, and
M. F.
Crommie
,
Science
329
,
544
(
2010
).
10.
H.
Yan
,
Y.
Sun
,
L.
He
,
J.-C.
Nie
, and
M. H. W.
Chan
,
Phys. Rev. B
85
,
035422
(
2012
).
11.
N. N.
Klimov
,
S.
Jung
,
S.
Zhu
,
T.
Li
,
C. A.
Wright
,
S. D.
Solares
,
D. B.
Newell
,
N. B.
Zhitenev
, and
J. A.
Stroscio
,
Science
336
,
1557
(
2012
).
12.
A.
Reserbat-Plantey
,
D.
Kalita
,
Z.
Han
,
L.
Ferlazzo
,
S.
Autier-Laurent
,
K.
Komatsu
,
C.
Li
,
R.
Weil
,
A.
Ralko
,
L.
Marty
,
S.
Gueron
,
N.
Bendiab
,
H.
Bouchiat
, and
V.
Bouchiat
,
Nano Lett.
14
,
5044
(
2014
).
13.
S. T.
Gill
,
J. H.
Hinnefeld
,
S.
Zhu
,
W. J.
Swanson
,
T.
Li
, and
N.
Mason
,
ACS Nano
9
,
5799
(
2015
).
14.
J. H.
Hinnefeld
,
S. T.
Gill
, and
N.
Mason
,
Appl. Phys. Lett.
112
,
173504
(
2018
).
15.
Y.
Zhang
,
Y.
Kim
,
M. J.
Gilbert
, and
N.
Mason
,
npj 2D Mater. Appl.
2
,
31
(
2018
).
16.
Y.
Zhang
,
M.
Heiranian
,
B.
Janicek
,
Z.
Budrikis
,
S.
Zapperi
,
P. Y.
Huang
,
H. T.
Johnson
,
N. R.
Aluru
,
J. W.
Lyding
, and
N.
Mason
,
Nano Lett.
18
,
2098
(
2018
).
17.
C. H.
Park
,
L.
Yang
,
Y. W.
Son
,
M. L.
Cohen
, and
S. G.
Louie
,
Phys. Rev. Lett.
101
,
126804
(
2008
).
18.
M.
Yankowitz
,
J.
Xue
,
D.
Cormode
,
J. D.
Sanchez-Yamagishi
,
K.
Watanabe
,
T.
Taniguchi
,
P.
Jarillo-Herrero
,
P.
Jacquod
, and
B. J.
LeRoy
,
Nat. Phys.
8
,
382
(
2012
).
19.
L. A.
Ponomarenko
,
R. V.
Gorbachev
,
G. L.
Yu
,
D. C.
Elias
,
R.
Jalil
,
A. A.
Patel
,
A.
Mishchenko
,
A. S.
Mayorov
,
C. R.
Woods
,
J. R.
Wallbank
,
M.
Mucha-Kruczynski
,
B. A.
Piot
,
M.
Potemski
,
I. V.
Grigorieva
,
K. S.
Novoselov
,
F.
Guinea
,
V. I.
Fal'ko
, and
A. K.
Geim
,
Nature
497
,
594
(
2013
).
20.
C. R.
Dean
,
L.
Wang
,
P.
Maher
,
C.
Forsythe
,
F.
Ghahari
,
Y.
Gao
,
J.
Katoch
,
M.
Ishigami
,
P.
Moon
,
M.
Koshino
,
T.
Taniguchi
,
K.
Watanabe
,
K. L.
Shepard
,
J.
Hone
, and
P.
Kim
,
Nature
497
,
598
(
2013
).
21.
B.
Hunt
,
J. D.
Sanchez-Yamagishi
,
A. F.
Young
,
M.
Yankowitz
,
B. J.
LeRoy
,
K.
Watanabe
,
T.
Taniguchi
,
P.
Moon
,
M.
Koshino
,
P.
Jarillo-Herrero
, and
R. C.
Ashoori
,
Science
340
,
1427
(
2013
).
22.
J. M.
Luttinger
,
Phys. Rev.
84
,
814
(
1951
).
23.
V. M.
Pereira
,
A. H.
Castro Neto
, and
N. M. R.
Peres
,
Phys. Rev. B
80
,
045401
(
2009
).
24.
S.
Datta
,
Quantum Transport: Atom to Transistor
(
Cambridge University Press
,
New York
,
2005
).

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