Due to the optical transitions between non-equidistant quantized Landau levels in an external magnetic field, graphene can be employed to dynamically tune the near-field radiative heat transfer (NFRHT). In this paper, we investigate the magnetic-field control of NFRHT between two graphene-based hyperbolic metamaterials (GHMs). We find that the magnetic field significantly regulates the NFRHT between two GHMs via modifying the intrinsic hyperbolic modes. Specifically, the radiative heat transfer in the low-frequency range is remarkably suppressed for chemical potential of graphene of 0.05 eV accompanied by the splitting of the heat flux peak with the increase in the magnetic field intensity. We also analyze the magnetoresistance effect related to the heat flux, which reaches 78.23% when H = 7 T. Moreover, we find that the effect of the magnetic field on the hyperbolic modes of GHMs is much stronger for lower chemical potentials. We look forward to the applications of our findings in dynamical thermal management at the nanoscale.

2.
K.
Joulain
,
J.-P.
Mulet
,
F.
Marquier
,
R.
Carminati
, and
J.-J.
Greffet
,
Surf. Sci. Rep.
57
,
59
(
2005
).
3.
J. C.
Cuevas
and
F. J.
Garcia-Vidal
,
ACS Photonics
5
,
3896
(
2018
).
4.
J. D.
Shen
,
X. L.
Liu
, and
Y. M.
Xuan
,
Phys. Rev. Appl.
10
,
034029
(
2018
).
5.
Y.
Huang
,
S. V.
Boriskina
, and
G.
Chen
,
Appl. Phys. Lett.
105
,
244102
(
2014
).
6.
P.
Van Zwol
,
K.
Joulain
,
P.
Ben-Abdallah
, and
J.
Chevrier
,
Phys. Rev. B
84
,
161413
(
2011
).
7.
Y.
Yang
,
S.
Basu
, and
L. P.
Wang
,
Appl. Phys. Lett.
103
,
163101
(
2013
).
8.
K. F.
Chen
,
P.
Santhanam
,
S.
Sandhu
,
L. X.
Zhu
, and
S. H.
Fan
,
Phys. Rev. B
91
,
134301
(
2015
).
9.
P.
Ben-Abdallah
,
Phys. Rev. Lett.
116
,
084301
(
2016
).
10.
R. M.
Abraham Ekeroth
,
P.
Ben-Abdallah
,
J. C.
Cuevas
, and
A.
García-Martín
,
ACS Photonics
5
,
705
(
2018
).
11.
H. H.
Wu
,
Y.
Huang
,
L. J.
Cui
, and
K. Y.
Zhu
,
Phys. Rev. Appl.
11
,
054020
(
2019
).
12.
M. O.
Goerbig
,
Rev. Mod. Phys.
83
,
1193
(
2011
).
13.
L. X.
Ge
,
K.
Gong
,
Y. P.
Cang
,
Y. S.
Luo
,
X.
Shi
, and
Y.
Wu
,
Phys. Rev. B
100
,
035414
(
2019
).
14.
Y.
Guo
and
Z.
Jacob
,
Opt. Express
21
,
15014
(
2013
).
15.
J. L.
Song
,
L.
Lu
,
Q.
Cheng
, and
Z. X.
Luo
,
J. Heat Transfer
140
,
082005
(
2018
).
16.
J. L.
Song
and
Q.
Cheng
,
Phys. Rev. B
94
,
125419
(
2016
).
17.
E.
Moncada-Villa
,
V.
Fernández-Hurtado
,
F. J.
Garcia-Vidal
,
A.
García-Martín
, and
J. C.
Cuevas
,
Phys. Rev. B
92
,
125418
(
2015
).
18.
T.
Morimoto
,
Y.
Hatsugai
, and
H.
Aoki
,
Phys. Rev. Lett.
103
,
116803
(
2009
).
19.
W. J. M.
Kort-Kamp
,
B.
Amorim
,
G.
Bastos
,
F. A.
Pinheiro
,
F. S. S.
Rosa
,
N. M. R.
Peres
, and
C.
Farina
,
Phys. Rev. B
92
,
205415
(
2015
).
20.
D. M.
Whittaker
and
I. S.
Culshaw
,
Phys. Rev. B
60
,
2610
(
1999
).
21.
M.
Francoeur
,
M. P.
Mengü
, and
R.
Vaillon
,
J. Quant. Spectrosc. Radiat. Transfer
110
,
2002
(
2009
).
22.
B.
Caballero
,
A.
García-Martín
, and
J. C.
Cuevas
,
Phys. Rev. B
85
,
245103
(
2012
).
23.
K. F.
Chen
,
B.
Zhao
, and
S. H.
Fan
,
Comput. Phys. Commun.
231
,
163
(
2018
).
24.
S.-A.
Biehs
,
M.
Tschikin
,
R.
Messina
, and
P.
Ben-Abdallah
,
Appl. Phys. Lett.
102
,
131106
(
2013
).
25.
J. G.
Huang
,
Q.
Li
,
Z. H.
Zheng
, and
Y. M.
Xuan
,
Int. J. Heat Mass Transfer
67
,
575
(
2013
).
26.
X. L.
Liu
,
J. D.
Shen
, and
Y. M.
Xuan
,
J. Quant. Spectrosc. Radiat. Transfer
200
,
100
(
2017
).
27.
M. J.
He
,
H.
Qi
,
Y. T.
Ren
,
Y. J.
Zhao
, and
M.
Antezza
,
Appl. Phys. Lett.
115
,
263101
(
2019
).
28.
M. J.
He
,
H.
Qi
,
Y. F.
Wang
,
Y. T.
Ren
,
W. H.
Cai
, and
L. M.
Ruan
,
Opt. Express
27
,
A953
(
2019
).
29.
J. L.
Song
,
Q.
Cheng
,
L.
Lu
,
B. W.
Li
,
K.
Zhou
,
B.
Zhang
,
Z. X.
Luo
, and
X. P.
Zhou
,
Phys. Rev. Appl.
13
,
024054
(
2020
).
30.
X. L.
Liu
and
Z. M.
Zhang
,
ACS Photonics
2
,
1320
(
2015
).
31.
X.
Lin
,
Z. J.
Wang
,
F.
Gao
,
B. L.
Zhang
, and
H. S.
Chen
,
Sci. Rep.
4
,
4190
(
2014
).
32.
33.
V. P.
Gusynin
,
S. G.
Sharapov
, and
J. P.
Carbotte
,
J. Phys.: Condens. Matter
19
,
026222
(
2007
).
34.
A.
Ferreira
,
J.
Viana-Gomes
,
Y. V.
Bludov
,
V.
Pereira
,
N. M. R.
Peres
, and
A. H.
Castro Neto
,
Phys. Rev. B
84
,
235410
(
2011
).
35.
E. D.
Palik
,
Handbook of Optical Constants of Solids
(
Academic Press
,
1998
), Vol.
3
.
36.
C.-Y.
You
,
S.-C.
Shin
, and
S.-Y.
Kim
,
Phys. Rev. B
55
,
5953
(
1997
).
37.
L.
Ferrari
,
C.
Wu
,
D.
Lepage
,
X.
Zhang
, and
Z. W.
Liu
,
Prog. Quantum Electron.
40
,
1
(
2015
).
38.
X. L.
Liu
,
T. J.
Bright
, and
Z. M.
Zhang
,
J. Heat Transfer
136
,
092703
(
2014
).
39.
H. R.
Philipp
,
J. Appl. Phys.
50
,
1053
(
1979
).
40.
I.
Latella
and
P.
Ben-Abdallah
,
Phys. Rev. Lett.
118
,
173902
(
2017
).

Supplementary Material

You do not currently have access to this content.