We report ultrafast transient-grating measurements of crystals of the three-dimensional Dirac semimetal cadmium arsenide, Cd3As2, at both room temperature and 80 K. After photoexcitation with 1.5-eV photons, charge-carriers relax by two processes, one of duration 500 fs and the other of duration 3.1 ps. By measuring the complex phase of the change in reflectance, we determine that the faster signal corresponds to a decrease in absorption, and the slower signal to a decrease in the light's phase velocity, at the probe energy. We attribute these signals to electrons' filling of phase space, first near the photon energy and later at lower energy. We attribute their decay to cooling by rapid emission of optical phonons, then slower emission of acoustic phonons. We also present evidence that both the electrons and the lattice are strongly heated.

1.
Z.
Wang
,
H.
Weng
,
Q.
Wu
,
X.
Dai
, and
Z.
Fang
,
Phys. Rev. B
88
(
12
),
125427
(
2013
).
2.
M.
Neupane
,
S.-Y.
Xu
,
R.
Sankar
,
N.
Alidoust
,
G.
Bian
,
C.
Liu
,
I.
Belopolski
,
T.-R.
Chang
,
H.-T.
Jeng
,
H.
Lin
,
A.
Bansil
,
F.-C.
Chou
, and
M. Z.
Hasan
,
Nat. Commun.
5
,
3786
(
2014
).
3.
Z. K.
Liu
,
J.
Jiang
,
B.
Zhou
,
Z. J.
Wang
,
Y.
Zhang
,
H. M.
Weng
,
D.
Prabhakaran
,
S. K.
Mo
,
H.
Peng
,
P.
Dudin
,
T.
Kim
,
M.
Hoesch
,
Z.
Fang
,
X.
Dai
,
Z. X.
Shen
,
D. L.
Feng
,
Z.
Hussain
, and
Y. L.
Chen
,
Nat. Mater.
13
(
7
),
677
(
2014
).
4.
S.
Borisenko
,
Q.
Gibson
,
D.
Evtushinsky
,
V.
Zabolotnyy
,
B.
Büchner
, and
R. J.
Cava
,
Phys. Rev. Lett.
113
(
2
),
027603
(
2014
).
5.
T.
Liang
,
Q.
Gibson
,
M. N.
Ali
,
M.
Liu
,
R. J.
Cava
, and
N. P.
Ong
,
Nat. Mater.
14
,
280
(
2015
).
6.
H.
Yi
,
Z.
Wang
,
C.
Chen
,
Y.
Shi
,
Y.
Feng
,
A.
Liang
,
Z.
Xie
,
S.
He
,
J.
He
,
Y.
Peng
,
X.
Liu
,
Y.
Liu
,
L.
Zhao
,
G.
Liu
,
X.
Dong
,
J.
Zhang
,
M.
Nakatake
,
M.
Arita
,
K.
Shimada
,
H.
Namatame
,
M.
Taniguchi
,
Z.
Xu
,
C.
Chen
,
X.
Dai
,
Z.
Fang
, and
X. J.
Zhou
,
Sci. Rep.
4
,
6106
(
2014
).
7.
X.
Wan
,
A. M.
Turner
,
A.
Vishwanath
, and
S. Y.
Savrasov
,
Phys. Rev. B
83
(
20
),
205101
(
2011
).
8.
R.
Lundgren
and
G. A.
Fiete
, preprint arXiv:1502.07700 (
2015
).
9.
E. K.
Arushanov
,
Prog. Cryst. Growth Charact.
3
(
2–3
),
211
(
1981
).
10.
A.
Rambo
and
M. J.
Aubin
,
Can. J. Phys.
57
,
2093
(
1979
).
11.
See supplementary material at http://dx.doi.org/10.1063/1.4922528 for the samples' transport properties, additional description of the transient grating, and a discussion of optical heating of the samples.
12.
G. D.
Goodno
,
G.
Dadusc
, and
R. J. D.
Miller
,
J. Opt. Soc. Am. B
15
(
6
),
1791
(
1998
).
13.
A. A.
Maznev
,
K. A.
Nelson
, and
T. A.
Rogers
,
Opt. Lett.
23
(
16
),
1319
(
1998
).
14.
N.
Gedik
and
J.
Orenstein
,
Opt. Lett.
29
(
18
),
2109
(
2004
).
15.
K.
Karnicka-Moscicka
,
A.
Kisiel
, and
L.
Żdanowicz
,
Solid State Commun.
44
(
3
),
373
(
1982
).
16.

Errors and error-bars are standard deviation of the mean.

17.

The lack of measurable diffusion is perhaps to be expected. Photoexcited electrons and holes must move together to preserve local charge neutrality, resulting in ambipolar diffusion. In an n-type sample, the ambipolar diffusivity nearly equals the holes' diffusivity, which is likely much less than the electrons'.

18.
M. J.
Gelten
and
C. M.
van Es
,
Phys. Narrow Gap Semicond.
152
,
167
(
1982
).
19.
H. M. A.
Schleijpen
,
M.
von Ortenberg
,
M. J.
Gelten
, and
F. A. P.
Blom
,
Int. J. Infrared Millim. Waves
5
(
2
),
171
(
1984
).
20.
S.
Jandl
,
S.
Desgreniers
,
C.
Carlone
, and
M.
Aubin
,
J. Raman Spectrosc.
15
(
2
),
137
(
1984
).
21.
D.
Houde
,
S.
Jandl
,
M.
Banville
, and
M.
Aubin
,
Solid State Commun.
57
(
4
),
247
(
1986
).
22.

Note that electronic energy of εe corresponds to optical transitions at εp.

23.
R.
Bistritzer
and
A. H.
MacDonald
,
Phys. Rev. Lett.
102
(
20
),
206410
(
2009
).
24.
J. H.
Strait
,
H.
Wang
,
S.
Shivaraman
,
V.
Shields
,
M.
Spencer
, and
F.
Rana
,
Nano Lett.
11
(
11
),
4902
(
2011
).
25.
Y. M.
Sheu
,
Y. J.
Chien
,
C.
Uher
,
S.
Fahy
, and
D. A.
Reis
,
Phys. Rev. B
87
,
075429
(
2013
).
26.
S.
Gilbertson
,
G. L.
Dakovski
,
T.
Durakiewicz
,
J.-X.
Zhu
,
K. M.
Dani
,
A. D.
Mohite
,
A.
Dattelbaum
, and
G.
Rodriguez
,
J. Phys. Chem. Lett.
3
(
1
),
64
(
2012
).
27.
C. H.
Lui
,
K. F.
Mak
,
J.
Shan
, and
T. F.
Heinz
,
Phys. Rev. Lett.
105
(
12
),
127404
(
2010
).
28.
K. M.
Dani
,
J.
Lee
,
R.
Sharma
,
A. D.
Mohite
,
C. M.
Galande
,
P. M.
Ajayan
,
A. M.
Dattelbaum
,
H.
Htoon
,
A. J.
Taylor
, and
R. P.
Prasankumar
,
Phys. Rev. B
86
(
12
),
125403
(
2012
).
29.
D.
Sun
,
Z. K.
Wu
,
C.
Divin
,
X. B.
Li
,
C.
Berger
,
W. A.
de Heer
,
P. N.
First
, and
T. B.
Norris
,
Phys. Rev. Lett.
101
(
15
),
157402
(
2008
).
30.
M.
O'Neil
,
J.
Marohn
, and
G.
McLendon
,
J. Phys. Chem.
94
,
4356
(
1990
).

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