Modeling of Physical Defects in PN Junction Based Graphene Devices

Graphene’s exceptional electro-mechanical properties make it a strong contender to replace silicon-based Complementary Metal-Oxide Semiconductor (CMOS) devices in the future. Among other novel material-based devices, graphene is pushing the research community to find new technological solutions that exploit its special characteristics. As it is a semimetal, the key challenge for graphene-based devices to be used in digital circuits is introducing band gap. Among the proposed approaches, electrostatic doping represents a key option. It allows the implementation of graphene pn junctions through which building a new class of reconfigurable logic gates is possible. This devices are analyzed in this work. Recent works presented a quantitative analysis of such gates in terms of area, delay and power consumptions, confirming their superiority w.r.t. CMOS technologies below the 22 nm. This paper explores another dimension, that is testability, and proposes a study of possible physical defects that might alter the functionality of the graphene logic gates. Two major kinds of manufacturing defects, which are possible in these gates, namely the Shorts between the device’s terminals and Open terminals, are considered. These faults have been injected into non faulty devices at the SPICE-level and the resulting behavior is mapped to appropriate fault model. Most of such models belong to the CMOS domain, but for some specific class of defects, new fault definitions are needed.

[1]  S. Sarma,et al.  Carrier transport in two-dimensional graphene layers. , 2006, Physical review letters.

[2]  P. Asbeck,et al.  Epitaxial graphene RF field-effect transistors , 2009, 2009 Device Research Conference.

[3]  Jochen Mannhart,et al.  Electrostatic modification of novel materials , 2006 .

[4]  K. Jenkins,et al.  Operation of graphene transistors at gigahertz frequencies. , 2008, Nano letters.

[5]  Enrico Macii,et al.  A Verilog-A model for reconfigurable logic gates based on graphene pn-junctions , 2013, 2013 Design, Automation & Test in Europe Conference & Exhibition (DATE).

[6]  Vladimir I. Fal'ko,et al.  Selective transmission of Dirac electrons and ballistic magnetoresistance of n − p junctions in graphene , 2006 .

[7]  S. Banerjee,et al.  Large-Area Synthesis of High-Quality and Uniform Graphene Films on Copper Foils , 2009, Science.

[8]  L. Register,et al.  Effect of edge roughness on electronic transport in graphene nanoribbon channel metal-oxide-semiconductor field-effect transistors , 2007, 0712.3068.

[9]  Azad Naeemi,et al.  Device- and system-level performance modeling for graphene P-N junction logic , 2012, Thirteenth International Symposium on Quality Electronic Design (ISQED).

[10]  S. A. Al-Arian,et al.  Physical failures and fault models of CMOS circuits , 1987 .

[11]  Kinam Kim,et al.  Graphene Barristor, a Triode Device with a Gate-Controlled Schottky Barrier , 2012, Science.

[12]  Manoj Sachdev Defect Oriented Testing for CMOS Analog and Digital Circuits , 1997 .

[13]  F. Guinea,et al.  The electronic properties of graphene , 2007, Reviews of Modern Physics.

[14]  Sergey Mikhailov,et al.  Physics and Applications of Graphene - Experiments , 2011 .

[15]  Xiaoqing Wen,et al.  VLSI Test Principles and Architectures: Design for Testability (Systems on Silicon) , 2006 .

[16]  Andre K. Geim,et al.  Two-dimensional atomic crystals. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[17]  The Novel Nanostructures of Carbon , 2008 .

[18]  Enrico Macii,et al.  Delay model for reconfigurable logic gates based on graphene PN-junctions , 2013, ACM Great Lakes Symposium on VLSI.

[19]  Wei Wang,et al.  Reconfigurable multi-function logic based on graphene p-n junctions , 2010, Design Automation Conference.

[20]  D. Goldhaber-Gordon,et al.  Transport measurements across a tunable potential barrier in graphene. , 2007, Physical review letters.

[21]  Vladimir Fal'ko,et al.  The Focusing of Electron Flow and a Veselago Lens in Graphene p-n Junctions , 2007, Science.

[22]  Charles E. Stroud A Designer's Guide to Built-In Self-Test , 2002 .

[23]  Alfred L. Crouch,et al.  Design-For-Test For Digital IC's and Embedded Core Systems , 1999 .

[24]  Vishwani D. Agrawal,et al.  Essentials of electronic testing for digital, memory, and mixed-signal VLSI circuits [Book Review] , 2000, IEEE Circuits and Devices Magazine.

[25]  Enrico Macii,et al.  Exploration of different implementation styles for graphene-based reconfigurable gates , 2013, Proceedings of 2013 International Conference on IC Design & Technology (ICICDT).

[26]  Enrico Macii,et al.  Investigating the behavior of physical defects in pn-junction based reconfigurable graphene devices , 2013, 2013 14th Latin American Test Workshop - LATW.

[27]  C. Dimitrakopoulos,et al.  100 GHz Transistors from Wafer Scale Epitaxial Graphene , 2010, 1002.3845.

[28]  J. Brink,et al.  Doping graphene with metal contacts. , 2008, Physical review letters.

[29]  Aachen,et al.  A Graphene Field-Effect Device , 2007, IEEE Electron Device Letters.

[30]  Enrico Macii,et al.  Power modeling and characterization of Graphene-based logic gates , 2013, 2013 23rd International Workshop on Power and Timing Modeling, Optimization and Simulation (PATMOS).

[31]  A. Geim,et al.  Two-dimensional gas of massless Dirac fermions in graphene , 2005, Nature.