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2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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Number-Resolved Single-Photon Detection with Ultralow
Noise van der Waals Hybrid
Kallol Roy,* Tanweer Ahmed, Harshit Dubey, T. Phanindra Sai, Ranjit Kashid,
Shruti Maliakal, Kimberly Hsieh, Saquib Shamim, and Arindam Ghosh*
K. Roy, T. Ahmed, H. Dubey, Dr. T. P. Sai, Dr. R. Kashid,
[+]
K. Hsieh, Dr. S. Shamim,
[++]
Prof. A. Ghosh
Department of Physics
Indian Institute of Science
Bangalore 560012, India
E-mail: kallol@iisc.ac.in; arindam@iisc.ac.in
S. Maliakal
Department of Physics
Indian Institute of Science Education and Research
Mohali 140306, India
Prof. A. Ghosh
Centre for Nano Science and Engineering
Indian Institute of Science
Bangalore 560012, India
DOI: 10.1002/adma.201704412
state incident at internal quantum effi-
ciency η. A real photodetector, however,
suffers from device-related noise, predom-
inantly from receiver electronics and/or
randomness in the feedback process when
the device, such as a photomultiplier tube
(PMT), or an avalanche photodiode (APD),
is operated at a large optoelectronic gain
(G). The combined contributions to noise
lead to
[12]
SNR
/
2
q
2 2
m
mF G σ
=
〈 〉
〈 〉 + 〈 〉
(1)
where F = 〈G
2
〉/〈G〉
2
and σ
q
are the excess
gain noise and dimensionless receiver
circuit noise, respectively. Equation (1)
indicates that large G helps in detecting small number of
photons (see schematic in Figure 1a), but rapid increase in F
for G > 100–1000 imposes a practical limitation in conventional
APDs made from bulk semiconductor heterojunctions.
[12]
In ultrathin-layered semiconductors from TMDCs, for
example, MoS
2
, WS
2
, WSe
2
etc., van Hove singularities in
the electronic density of states enable remarkably strong light
absorption even when the thickness of the semiconductors is
reduced to single molecular layers.
[4]
This makes single- or few-
layer MoS
2
an excellent photodetector itself,
[13]
but low carrier
mobility, sensitivity to environmental charge fluctuations, and
localization of carriers at the band tail are detrimental in high-
resolution photodetection.
[14,15]
The planar van der Waals hybrids
of graphene and TMDCs are emerging class of photodetec-
tors,
[4,5,16]
where the light to electricity conversion is obtained
by interlayer charge transfer and an effective photogating of
the graphene channel. These detectors leverage the large car-
rier mobility of graphene, and high interfacial transparency due
to small graphene/MoS
2
Schottky barrier (φ
B
≈ 0.2–0.4 eV),
[17]
and both conceptually and architecturally distinct from the
bulk semiconductor-based photon counting devices, such as
the APDs.
[18–21]
For example, in contrast to impact ionization
in APDs, the carrier multiplication in the hybrid occurs in the
graphene channel under electrostatic influence of the photo-
generated hole located in MoS
2
(see Figure 1b,c). The gra-
phene layer thus functions both as the multiplier and the
receiver circuit. Separating the photogeneration region (MoS
2
)
enhances lifetime of the hole to τ
lifetime
≈ 1 s,
[5]
so that the opto-
electronic gain G = τ
lifetime
/τ
tr
≈ 10
10
is intrinsically very large
(τ
tr
≈ 0.1 ns is the transport time of carriers in the graphene
channel). Moreover, as illustrated in Figure 1b, the dominant
gain-noise mechanism in APDs, such as stochasticity in carrier
Van der Waals hybrids of graphene and transition metal dichalcogenides
exhibit an extremely large response to optical excitation, yet counting of
photons with single-photon resolution is not achieved. Here, a dual-gated
bilayer graphene (BLG) and molybdenum disulphide (MoS
2
) hybrid are
demonstrated, where opening a band gap in the BLG allows extremely low
channel (receiver) noise and large optical gain (≈10
10
) simultaneously.
The resulting device is capable of unambiguous determination of the
Poissonian emission statistics of an optical source with single-photon
resolution at an operating temperature of 80 K, dark count rate 0.07 Hz, and
linear dynamic range of ≈40 dB. Single-shot number-resolved single-photon
detection with van der Waals heterostructures may impact multiple
technologies, including the linear optical quantum computation.
Van der Waals Materials
Determining the number of photons in an optical pulse
with single-photon resolution is the ultimate goal in
photodetection.
[1,2]
Planar hybrids of graphene and transition
metal dichalcogenides (TMDC)
[3–8]
are unique optoelectronic
elements where coherent transfer of photogenerated electrons
across the van der Waals interface
[7,9,10,11]
results in extremely large
gain at low feedback noise.
[5,6,8]
In an ideal photon counting
device, the signal-to-noise ratio (SNR) is limited by emission
statistics of the optical source. The resulting electrical output
fluctuates with SNR /
2 2
m
m
σ =〈 〉 , and simplifies to SNR = 〈m〉,
for purely Poissonian emission probability P
n
(μ) = (μ
n
/n!)e
−μ
,
where μ = 〈n〉, and m(=ηn) and σ
m
are the number and vari-
ance, respectively, of the photocarriers generated for n-photon
[+]
Present address: National Institute of Standards and Technology, 100
Bureau Dr., Gaithersburg, MD 20899, USA
[++]
Present address: Physikalisches Institut (EP3), Universität Würzburg,
Am Hubland, D-97074 Würzburg, Germany
Adv. Mater. 2017, 1704412