Predicting the Performance of Low-Loss On-Chip Inductors Realized Using Carbon Nanotube Bundles

Within the analog realm, integrated inductors continue to limit the performance of mixed-signal systems. To improve the performance of integrated inductors for future mixed-signal systems, alternative technologies must be investigated. In this paper, we propose low-loss on-chip inductors leveraging single-walled carbon nanotube (SWCNT) bundles, which have the potential to provide conductors with significantly lower resistivity than traditional copper technology. We develop a model for high-frequency current redistribution in SWCNT bundles, which we find can have a large effect on the resistance and quality factor of nanotube-based inductors. Leveraging a compact RLC circuit model, we examine the potential quality factor improvement provided by nanotube-based inductors over copper-based inductors for mixed-signal circuit applications. The results indicate that the optimized SWCNT bundle-based inductors can potentially provide a significant increase in quality factor. To demonstrate the performance advantages of optimized nanotube-based inductors, we find that their increased quality factors can lead to a noise figure and power consumption improvement in low-noise amplifiers, which are critical radio frequency circuits in integrated wireless receivers. If the integrated circuit fabrication challenges associated with high-density nanotube-based wires can be overcome, nanotube-based inductors could enable future mixed-signal and wireless systems with greater performance.

[1]  Mattan Kamon,et al.  FastHenry: A Multipole-Accelerated 3-D Inductance Extraction Program , 1993, 30th ACM/IEEE Design Automation Conference.

[2]  Ali M. Niknejad,et al.  Analysis, design, and optimization of spiral inductors and transformers for Si RF ICs , 1998, IEEE J. Solid State Circuits.

[3]  A. Rinzler,et al.  Electronic structure of atomically resolved carbon nanotubes , 1998, Nature.

[4]  R. Smalley Crystalline Ropes of Metallic Carbon Nanotubes , 1999 .

[5]  Dekker,et al.  High-field electrical transport in single-wall carbon nanotubes , 1999, Physical review letters.

[6]  S. Wong,et al.  Physical modeling of spiral inductors on silicon , 2000 .

[7]  P. Bernier,et al.  Study of the symmetry of single-wall nanotubes by electron diffraction , 2000 .

[8]  Rob A. Rutenbar,et al.  Embedded Tutorial: CAD Solutions and Outstanding Challenges for Mixed-Signal and RF IC Design , 2001, International Conference on Computer Aided Design.

[9]  Ali Hajimiri,et al.  Concepts and methods in optimization of integrated LC VCOs , 2001, IEEE J. Solid State Circuits.

[10]  A. Niknejad,et al.  Analysis of eddy-current losses over conductive substrates with applications to monolithic inductors and transformers , 2001 .

[11]  N. M. Ibrahim,et al.  Analysis of current crowding effects in multiturn spiral inductors , 2001 .

[12]  Amitesh Maiti,et al.  Electronic transport through carbon nanotubes: effects of structural deformation and tube chirality. , 2002, Physical review letters.

[13]  P. Burke Luttinger liquid theory as a model of the gigahertz electrical properties of carbon nanotubes , 2002 .

[14]  P. Watts,et al.  Fe-Filled Carbon Nanotubes: Nano-electromagnetic Inductors , 2002 .

[15]  Josep Samitier,et al.  A physical frequency-dependent compact model for RF integrated inductors , 2002 .

[16]  S. Wind,et al.  Carbon nanotube electronics , 2002, Digest. International Electron Devices Meeting,.

[17]  J. Burghartz,et al.  On the design of RF spiral inductors on silicon , 2003 .

[18]  Shen-Iuan Liu,et al.  Analysis of on-chip spiral inductors using the distributed capacitance model , 2003 .

[19]  R. Krupke,et al.  Separation of Metallic from Semiconducting Single-Walled Carbon Nanotubes , 2003, Science.

[20]  M. Dresselhaus,et al.  Structure-Based Carbon Nanotube Sorting by Sequence-Dependent DNA Assembly , 2003, Science.

[21]  Yu Cao,et al.  Frequency-independent equivalent-circuit model for on-chip spiral inductors , 2003 .

[22]  P. J. Burke An RF circuit model for carbon nanotubes , 2003 .

[23]  E. Wang,et al.  Patterned growth of coiled carbon nanotubes by a template-assisted technique , 2003 .

[24]  Sotiris Bantas,et al.  CMOS active-LC bandpass filters with coupled-inductor Q-enhancement and center frequency tuning , 2004, IEEE Trans. Circuits Syst. II Express Briefs.

[25]  M. Meyyappan,et al.  Combinatorial chips for optimizing the growth and integration of carbon nanofibre based devices , 2003 .

[26]  G. Duesberg,et al.  Carbon nanotubes for interconnect applications , 2002, IEDM Technical Digest. IEEE International Electron Devices Meeting, 2004..

[27]  Xiuqin Chen,et al.  Properties and potential applications of carbon microcoils/nanocoils , 2004 .

[28]  M. Mojarradi,et al.  Modeling spiral inductors in SOS processes , 2004, IEEE Transactions on Electron Devices.

[29]  K. Roy,et al.  A circuit model for carbon nanotube interconnects: comparative study with Cu interconnects for scaled technologies , 2004, ICCAD 2004.

[30]  P. McEuen,et al.  Electron-Phonon Scattering in Metallic Single-Walled Carbon Nanotubes , 2003, cond-mat/0309641.

[31]  P. McEuen,et al.  Electron Transport in Single-Walled Carbon Nanotubes , 2004 .

[32]  R. Srivastava,et al.  Ab initio study of 4 Å armchair carbon nanoropes: Orientation-dependent properties , 2004 .

[33]  B. Rejaei Mixed-potential volume integral-equation approach for circular spiral inductors , 2004, IEEE Transactions on Microwave Theory and Techniques.

[34]  S. Motojima,et al.  Electrical Resistivity of Carbon Micro Coil Measured by a Multi-Probe Unit Installed in a Scanning Electron Microscope , 2005 .

[35]  Franz Kreupl,et al.  Nanoelectronics Based on Carbon Nanotubes: Technological Challenges and Recent Developments , 2005 .

[36]  S. Datta,et al.  Transport effects on signal propagation in quantum wires , 2005, IEEE Transactions on Electron Devices.

[37]  Arthur Nieuwoudt,et al.  Multi-level approach for integrated spiral inductor optimization , 2005, Proceedings. 42nd Design Automation Conference, 2005..

[38]  J. Meindl,et al.  Monolayer metallic nanotube interconnects: promising candidates for short local interconnects , 2005, IEEE Electron Device Letters.

[39]  Arthur Nieuwoudt,et al.  Robust automated synthesis methodology for integrated spiral inductors with variability , 2005, ICCAD-2005. IEEE/ACM International Conference on Computer-Aided Design, 2005..

[40]  Michael S. McCorquodale,et al.  Efficient analytical modeling techniques for rapid integrated spiral inductor prototyping , 2005, Proceedings of the IEEE 2005 Custom Integrated Circuits Conference, 2005..

[41]  Y. Massoud,et al.  Efficient modeling of substrate eddy currents for integrated spiral inductor design automation , 2005, 48th Midwest Symposium on Circuits and Systems, 2005..

[42]  Ming Zheng,et al.  Theory of structure-based carbon nanotube separations by ion-exchange chromatography of DNA/CNT hybrids. , 2005, The journal of physical chemistry. B.

[43]  J. Meindl,et al.  Performance comparison between carbon nanotube and copper interconnects for gigascale integration (GSI) , 2005, IEEE Electron Device Letters.

[44]  Arthur Nieuwoudt,et al.  Modeling and Evaluating Carbon Nanotube Bundles for Future VLSI Interconnect Applications , 2006, 2006 1st International Conference on Nano-Networks and Workshops.

[45]  J. Meindl,et al.  Compact physical models for multiwall carbon-nanotube interconnects , 2006, IEEE Electron Device Letters.

[46]  Arthur Nieuwoudt,et al.  Variability-Aware Multilevel Integrated Spiral Inductor Synthesis , 2006, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[47]  Arthur Nieuwoudt,et al.  Modeling and design challenges and solutions for carbon nanotube-based interconnect in future high performance integrated circuits , 2006, JETC.

[48]  Y. Massoud,et al.  Understanding the Impact of Inductance in Carbon Nanotube Bundles for VLSI Interconnect Using Scalable Modeling Techniques , 2006, IEEE Transactions on Nanotechnology.

[49]  Kaushik Roy,et al.  A high density, carbon nanotube capacitor for decoupling applications , 2006, 2006 43rd ACM/IEEE Design Automation Conference.

[50]  Y. Massoud,et al.  Scalable Modeling of Magnetic Inductance in Carbon Nanotube Bundles for VLSI Interconnect , 2006, 2006 Sixth IEEE Conference on Nanotechnology.

[51]  Yuji Awano,et al.  Carbon Nanotube Technologies for LSI via Interconnects , 2006, IEICE Trans. Electron..

[52]  Y. Massoud,et al.  Accurate Analytical Spiral Inductor Modeling Techniques for Efficient Design Space Exploration , 2006, IEEE Electron Device Letters.

[53]  Jingqi Li,et al.  Influences of ac electric field on the spatial distribution of carbon nanotubes formed between electrodes , 2006 .

[54]  Y. Nakajima,et al.  Proposal of Carbon Nanotube Inductors , 2006 .

[55]  Arthur Nieuwoudt,et al.  SOC-NLNA: synthesis and optimization for fully integrated narrow-band CMOS low noise amplifiers , 2006, 2006 43rd ACM/IEEE Design Automation Conference.

[56]  Y. Massoud,et al.  Accurate Resistance Modeling for Carbon Nanotube Bundles in VLSI Interconnect , 2006, 2006 Sixth IEEE Conference on Nanotechnology.

[57]  Arthur Nieuwoudt,et al.  Efficient modeling of integrated narrow-band low noise amplifiers for design space exploration , 2006, GLSVLSI '06.

[58]  Y. Massoud,et al.  Evaluating the impact of resistance in carbon nanotube bundles for VLSI interconnect using diameter-dependent modeling techniques , 2006, IEEE Transactions on Electron Devices.

[59]  Arthur Nieuwoudt,et al.  Analytical wide-band modeling of high frequency resistance in integrated spiral inductors , 2007 .

[60]  Y. Massoud,et al.  Performance Implications of Inductive Effects for Carbon-Nanotube Bundle Interconnect , 2007, IEEE Electron Device Letters.

[61]  Arthur Nieuwoudt,et al.  Predicting the Performance and Reliability of Carbon Nanotube Bundles for On-Chip Interconnect , 2007, 2007 Asia and South Pacific Design Automation Conference.

[62]  A. Rao,et al.  A plausible mechanism for the evolution of helical forms in nanostructure growth , 2007 .

[63]  Narayanan Vijaykrishnan,et al.  Assessing Carbon Nanotube Bundle Interconnect for Future FPGA Architectures , 2007, 2007 Design, Automation & Test in Europe Conference & Exhibition.