Carbon Nanotube Field Effect Transistor
Economics
Speed
Reliability/Ease of Use
Packing more functions into an IC
DONE BY SHRINKING
SIZE!!!
Since 1960 Electronics Industry has been driven by:
Ref: [9]
Mantra of Electronic
manufacturers:
BEAT THE MOORE’s LAW
Ref: [10]
2016: Gate
length<10 nm
E=
𝑉
𝐿
Reason:
• Some of the device parameters such as bandgap (Eg) and built in junction potential
are material parameters and cannot be scaled.
• The threshold (Vth) cannot be scaled due to leakage considerations.
 Leakage Currents
 Extreme Short Channel Effects
 High Field Effects
 Process variation
Vth
Id
Vgs
90mV/decade (usually)
60mV/decade (highest possible)
Leakage current
As size decreases, electric field in channel increases which leads to high kinetic
energy of electrons and holes (hot carriers) which penetrate into the gate oxide
and temper the threshold voltage.
Ref: [1]
DIBL-Drain Induced
Barrier Lowering
& Punch through
Fig Ref: Prof. Saraswat Lecture notes, Stanford University
 The two main factors in process variation are:
1.Variation in process parameters such as the oxide thickness,
impurity concentration and diffusion depths (causes variation in
threshold voltage and sheet resistance)
2. Variation due to lithographic limits (causes W/L ratios to deviate)
 As the gate length reaches nanometer range, the number of
atoms comprising the gate will shrink and the properties of bulk
do not hold.
 In the nanometer range, process variation has the potential to
cause drastic changes to the transistor parameters.
Ref: Rabaey, J.M., Chandrakasan, A. , Nikolic, B., Digital
Integrated Circuits Second Edition, 2002, Prentice-Hall
 Due to the sp2 hybridization, the geometry of graphene is
planar with the three bonds being at an angle of 120
degrees to each other.
 The planar geometry of sp2 hybrid orbitals gives rise to a
hexagonal lattice structure of graphene.
Ref: [5]
𝐶ℎ = 𝑛1. 𝑎1 + 𝑛2. 𝑎2
Wrapping vector
The indices (n1, n2) give different properties to
the nanotube. Accordingly, three different kind
of nanotube can be identified:
1. Armchair (n1 = n2)
2. Zig Zag (n1 = 0 or n2 = 0)
3. Chiral (all other cases)
Ref: [5]
𝐶ℎ = 𝑛1. 𝑎1 + 𝑛2. 𝑎2
Wrapping vector
Electrical conductivity:
1.Metallic (when |n1−n2| is a multiple of 3) with zero bandgap
2.Semiconducting with finite bandgap.
Ref: [5]
Currently based on the operation mechanism of CNFETs, they can be
categorized as:
 Schottky Barrier controlled FET: Their conductivity is controlled by the
majority of carriers tunneling through the Schottky Barrier at the end
contacts. Their performance and the ON current are determined not by
the channel conductance, but by the contact resistance due to
tunneling barriers at drain and source contacts. They exhibit ambipolar
behavior.
 MOSFET like FET: These CNFETS have unipolar behavior as they either
suppress electron or hole transport for pFET and nFET respectively. The
conductivity is modulated by the gate to source bias voltage.
Ref: [4]
• The carbon nanotube field effect transistor is a three
terminal device similar to the MOSFET.
• The semiconducting channel between the two
contacts called drain and source consists of the
nanotube.
• The channel is turned on/off electrostatically via the
third contact: gate
Planar Device Coaxial Device
Ref: [4]
To determine the PMOS/NMOS ratio for CMOS, the
transistor width (W) is modified.
In a CNFET, the number of CNTs is changed because
a CNFET uses CNTs for the conducting channel
between the source and the drain.
The width of the CNFET is increased when the
number of CNTs in a CNFET is increased (similar to
the width change in a MOSFET).
Quasi 1-D (ballistic) transport of electrons and holes:
 The electrons in a carbon nanotube are confined to the atomic
plane of the graphene. Since the structure of the CNT is quasi 1-
D, the electrons in the tube are constrained. The electrons can
only move along the axis of the tube.
 Only forward and backward scattering is possible for the
electrons and holes in the nanotube.
 Experimentally observed mean-free-path is of the order of 1um
(1,000 times the diameter of the tube) implies that carbon
nanotubes have ballistic transport capability. [4]
High Drive Current/Large Transconductance:
 For the p-CNTFET, the on-current per unit ~1500 μA/μm at a gate
overdrive of 0.6V. This value is considerably higher than the ~500
μA/μm for a p-MOSFET at a gate overdrive of 0.6V.[14]
 The maximum transconductance (dI/dVg) is observed to be 20uA/V at
Vg = -0.9. This, as compared to a typical MOSFET, is a significantly
better current generation by the device. [3]
Ref: [8]
Fig. Simulated I-V
characteristics
of the CNFET [8]
High temperature resilience/ Strong covalent bond:
 The atoms within a carbon nanotube molecule bond covalently in
hexagonal rings, and this graphite-like structure has great
strength and stability.
 Electrically, this helps in significantly reducing electromigration,
thereby allowing high current operation. [4]
 Furthermore, carbon nanotubes conduct heat nearly as well as
diamond, so extremely high device-packing densities should be
possible [4]
Apart from these the CNFET has low intrinsic
capacitance and near ideal sub-threshold
slope. [2]
 A 3 :1 (PMOS:NMOS) ratio is used when designing an inverter.
 For the CNFET, a 1:1 (pFET:nFET) ratio is used because the nFET and the
pFET have almost the same current driving capability with same transistor
geometry [12]
 The PDP and the maximum leakage power of the 32nm CNFET are about
100 times and 75 times lower than for the 32nm MOSFET.
Ref: [13]
Inverter Char at
32nm
 The most attractive feature of the CNFET is its ballistic transport
mechanism which gives a high intrinsic performance.
 Process variation has less severe effects due to the inherent
device structure and gate geometry.
 While superior I-V characteristics of CNFET over MOSFET has
been shown, no standard process technology is available and
predictions on large circuits can only be made through
simulations.
 The present day large scale manufacturing is at 32nm node with
Intel announcing 22nm node to be a reality very soon.
[1] Rabaey, J.M., Chandrakasan, A. , Nikolic, B., Digital Integrated Circuits Second Edition, 2002,
Prentice-Hall
[2] Ale, I., Hasan, M., Islam A. , Abbasi, S.A., “Optimized Design of a 32-nm CNFET-Based Low-
Power Ultra wideband CCII” IEEE Transactions On Nanotechnology, vol. 11, no. 6, pp. 1100-1108,
Nov. 2012
[3] P. L. McEuen, M. S. Fuhrer, and P. Hongkun, “Single-walled carbon nanotube electronics” IEEE
Transactions on Nanotechnology., vol. 1, no. 1, pp. 78–85, Mar. 2002
[4] Leonardo de Camargo e Castro, (2006) Modelling of Carbon Nanotube Field-Effect Transistor,
(Doctoral Dissertation), University of British Columbia
[5] Deng, J. (2007) Device Modelling And Circuit Performance Evaluation For Nanoscale Devices:
Silicon Technology Beyond 45 Nm Node And Carbon Nanotube Field Effect Transistors (Doctoral
Dissertation), Stanford University.
[6] Cho G, Kim Y-B, and Lombardi F: “Assessment of CNTFET based circuit performance and
robustness to PVT variations”. In Proceedings of the MWSCAS '09 52nd IEEE International
Midwest Symposium on Circuits and Systems: August 2–5: Cancun. New York: IEEE 2009,
2009:1106–1109.
[7] Moradinasab, Mahdi. Fathipour, Morteza. “High Performance SRAM based on CNFET”,
Ultimate Integration of Silicon, 2009. Pp.317-320, Mar. 2009
[8] A. Javey, J. Guo, D. B. Farmer, Q. Wang, E. Yenilmez, R. G. Gordon, M. Lundstrom, and H.
Dai, “Self-aligned ballistic molecular transistors and electrically parallel nanotube arrays,” Nano
Lett., vol. 4, no. 7, pp. 1319–1322, 2004.
[9] Murrae J. Bowden, “Moore’s Law and the Technology S-Curve” Current Issues in Technology
Management, winter 2004 Issue 1 Volume 8.
[10] Semiconductor Industry Association. (2005). International Technology Roadmap for
Semiconductors-2005, Update: Overview and Summaries, [Online]. Available:
http:ww.itrs.net/Links/2005, ITRS/Home 2005.htm
[11] D. J. Frank, R. H. Dennard, E. Nowak, P. M. Solomon, Y. Taur, and H. S. P.Wong, “Device
scaling limits of SiMOSFETS and their application dependencies,” in Proc. IEEE, vol. 89, no. 3,
pp. 259–288, Mar. 2001.
[12] J. Deng, and H.-S. P. Wong, "A Circuit-Compatible SPICE model for Enhancement Mode
Carbon Nanotube Field Effect Transistors," Proc. Intl. Conf. Simulation of Semiconductor
Processes and Devices, pp. 166-169, Sept., 2006
[13] Geunho Cho, Yong-Bin Kim, Fabrizio Lombardi , “Assessment of CNTFET Based Circuit
Performance and Robustness to PVT Variations” Circuits and Systems, 2009. MWSCAS '09. 52nd
IEEE International Midwest Symposium pp. 1106 – 1109
[14] S. Thompson, et al., IEDM Tech Digest, p. 257 (2001).
Kunwar M. Rehan
10LEB138/A4LE27

CNFET Technology

  • 1.
    Carbon Nanotube FieldEffect Transistor
  • 2.
    Economics Speed Reliability/Ease of Use Packingmore functions into an IC DONE BY SHRINKING SIZE!!! Since 1960 Electronics Industry has been driven by: Ref: [9]
  • 3.
    Mantra of Electronic manufacturers: BEATTHE MOORE’s LAW Ref: [10] 2016: Gate length<10 nm
  • 4.
    E= 𝑉 𝐿 Reason: • Some ofthe device parameters such as bandgap (Eg) and built in junction potential are material parameters and cannot be scaled. • The threshold (Vth) cannot be scaled due to leakage considerations.
  • 5.
     Leakage Currents Extreme Short Channel Effects  High Field Effects  Process variation
  • 6.
  • 7.
    As size decreases,electric field in channel increases which leads to high kinetic energy of electrons and holes (hot carriers) which penetrate into the gate oxide and temper the threshold voltage. Ref: [1] DIBL-Drain Induced Barrier Lowering & Punch through Fig Ref: Prof. Saraswat Lecture notes, Stanford University
  • 8.
     The twomain factors in process variation are: 1.Variation in process parameters such as the oxide thickness, impurity concentration and diffusion depths (causes variation in threshold voltage and sheet resistance) 2. Variation due to lithographic limits (causes W/L ratios to deviate)  As the gate length reaches nanometer range, the number of atoms comprising the gate will shrink and the properties of bulk do not hold.  In the nanometer range, process variation has the potential to cause drastic changes to the transistor parameters. Ref: Rabaey, J.M., Chandrakasan, A. , Nikolic, B., Digital Integrated Circuits Second Edition, 2002, Prentice-Hall
  • 10.
     Due tothe sp2 hybridization, the geometry of graphene is planar with the three bonds being at an angle of 120 degrees to each other.  The planar geometry of sp2 hybrid orbitals gives rise to a hexagonal lattice structure of graphene. Ref: [5]
  • 11.
    𝐶ℎ = 𝑛1.𝑎1 + 𝑛2. 𝑎2 Wrapping vector The indices (n1, n2) give different properties to the nanotube. Accordingly, three different kind of nanotube can be identified: 1. Armchair (n1 = n2) 2. Zig Zag (n1 = 0 or n2 = 0) 3. Chiral (all other cases) Ref: [5]
  • 12.
    𝐶ℎ = 𝑛1.𝑎1 + 𝑛2. 𝑎2 Wrapping vector Electrical conductivity: 1.Metallic (when |n1−n2| is a multiple of 3) with zero bandgap 2.Semiconducting with finite bandgap. Ref: [5]
  • 13.
    Currently based onthe operation mechanism of CNFETs, they can be categorized as:  Schottky Barrier controlled FET: Their conductivity is controlled by the majority of carriers tunneling through the Schottky Barrier at the end contacts. Their performance and the ON current are determined not by the channel conductance, but by the contact resistance due to tunneling barriers at drain and source contacts. They exhibit ambipolar behavior.  MOSFET like FET: These CNFETS have unipolar behavior as they either suppress electron or hole transport for pFET and nFET respectively. The conductivity is modulated by the gate to source bias voltage. Ref: [4]
  • 14.
    • The carbonnanotube field effect transistor is a three terminal device similar to the MOSFET. • The semiconducting channel between the two contacts called drain and source consists of the nanotube. • The channel is turned on/off electrostatically via the third contact: gate Planar Device Coaxial Device Ref: [4]
  • 15.
    To determine thePMOS/NMOS ratio for CMOS, the transistor width (W) is modified. In a CNFET, the number of CNTs is changed because a CNFET uses CNTs for the conducting channel between the source and the drain. The width of the CNFET is increased when the number of CNTs in a CNFET is increased (similar to the width change in a MOSFET).
  • 16.
    Quasi 1-D (ballistic)transport of electrons and holes:  The electrons in a carbon nanotube are confined to the atomic plane of the graphene. Since the structure of the CNT is quasi 1- D, the electrons in the tube are constrained. The electrons can only move along the axis of the tube.  Only forward and backward scattering is possible for the electrons and holes in the nanotube.  Experimentally observed mean-free-path is of the order of 1um (1,000 times the diameter of the tube) implies that carbon nanotubes have ballistic transport capability. [4]
  • 17.
    High Drive Current/LargeTransconductance:  For the p-CNTFET, the on-current per unit ~1500 μA/μm at a gate overdrive of 0.6V. This value is considerably higher than the ~500 μA/μm for a p-MOSFET at a gate overdrive of 0.6V.[14]  The maximum transconductance (dI/dVg) is observed to be 20uA/V at Vg = -0.9. This, as compared to a typical MOSFET, is a significantly better current generation by the device. [3] Ref: [8] Fig. Simulated I-V characteristics of the CNFET [8]
  • 18.
    High temperature resilience/Strong covalent bond:  The atoms within a carbon nanotube molecule bond covalently in hexagonal rings, and this graphite-like structure has great strength and stability.  Electrically, this helps in significantly reducing electromigration, thereby allowing high current operation. [4]  Furthermore, carbon nanotubes conduct heat nearly as well as diamond, so extremely high device-packing densities should be possible [4] Apart from these the CNFET has low intrinsic capacitance and near ideal sub-threshold slope. [2]
  • 19.
     A 3:1 (PMOS:NMOS) ratio is used when designing an inverter.  For the CNFET, a 1:1 (pFET:nFET) ratio is used because the nFET and the pFET have almost the same current driving capability with same transistor geometry [12]  The PDP and the maximum leakage power of the 32nm CNFET are about 100 times and 75 times lower than for the 32nm MOSFET. Ref: [13] Inverter Char at 32nm
  • 20.
     The mostattractive feature of the CNFET is its ballistic transport mechanism which gives a high intrinsic performance.  Process variation has less severe effects due to the inherent device structure and gate geometry.  While superior I-V characteristics of CNFET over MOSFET has been shown, no standard process technology is available and predictions on large circuits can only be made through simulations.  The present day large scale manufacturing is at 32nm node with Intel announcing 22nm node to be a reality very soon.
  • 21.
    [1] Rabaey, J.M.,Chandrakasan, A. , Nikolic, B., Digital Integrated Circuits Second Edition, 2002, Prentice-Hall [2] Ale, I., Hasan, M., Islam A. , Abbasi, S.A., “Optimized Design of a 32-nm CNFET-Based Low- Power Ultra wideband CCII” IEEE Transactions On Nanotechnology, vol. 11, no. 6, pp. 1100-1108, Nov. 2012 [3] P. L. McEuen, M. S. Fuhrer, and P. Hongkun, “Single-walled carbon nanotube electronics” IEEE Transactions on Nanotechnology., vol. 1, no. 1, pp. 78–85, Mar. 2002 [4] Leonardo de Camargo e Castro, (2006) Modelling of Carbon Nanotube Field-Effect Transistor, (Doctoral Dissertation), University of British Columbia [5] Deng, J. (2007) Device Modelling And Circuit Performance Evaluation For Nanoscale Devices: Silicon Technology Beyond 45 Nm Node And Carbon Nanotube Field Effect Transistors (Doctoral Dissertation), Stanford University. [6] Cho G, Kim Y-B, and Lombardi F: “Assessment of CNTFET based circuit performance and robustness to PVT variations”. In Proceedings of the MWSCAS '09 52nd IEEE International Midwest Symposium on Circuits and Systems: August 2–5: Cancun. New York: IEEE 2009, 2009:1106–1109. [7] Moradinasab, Mahdi. Fathipour, Morteza. “High Performance SRAM based on CNFET”, Ultimate Integration of Silicon, 2009. Pp.317-320, Mar. 2009
  • 22.
    [8] A. Javey,J. Guo, D. B. Farmer, Q. Wang, E. Yenilmez, R. G. Gordon, M. Lundstrom, and H. Dai, “Self-aligned ballistic molecular transistors and electrically parallel nanotube arrays,” Nano Lett., vol. 4, no. 7, pp. 1319–1322, 2004. [9] Murrae J. Bowden, “Moore’s Law and the Technology S-Curve” Current Issues in Technology Management, winter 2004 Issue 1 Volume 8. [10] Semiconductor Industry Association. (2005). International Technology Roadmap for Semiconductors-2005, Update: Overview and Summaries, [Online]. Available: http:ww.itrs.net/Links/2005, ITRS/Home 2005.htm [11] D. J. Frank, R. H. Dennard, E. Nowak, P. M. Solomon, Y. Taur, and H. S. P.Wong, “Device scaling limits of SiMOSFETS and their application dependencies,” in Proc. IEEE, vol. 89, no. 3, pp. 259–288, Mar. 2001. [12] J. Deng, and H.-S. P. Wong, "A Circuit-Compatible SPICE model for Enhancement Mode Carbon Nanotube Field Effect Transistors," Proc. Intl. Conf. Simulation of Semiconductor Processes and Devices, pp. 166-169, Sept., 2006 [13] Geunho Cho, Yong-Bin Kim, Fabrizio Lombardi , “Assessment of CNTFET Based Circuit Performance and Robustness to PVT Variations” Circuits and Systems, 2009. MWSCAS '09. 52nd IEEE International Midwest Symposium pp. 1106 – 1109 [14] S. Thompson, et al., IEDM Tech Digest, p. 257 (2001).
  • 23.