Renewable Energy Materials Research Science and Engineering Center (REMRSEC)



IEEE-EDS Distinguished Lecture of the Electron Devices Society


Ohm to Arora: A New Paradigm for Nanoscale Devices and Circuits


* The lecture is downloadable by clicking the link above and expanding it to full screen by clicking on double arrows in the corner and press the central arrow to start the lecture.


Professor Vijay K. Arora

Department of Electrical Engineering and Physics

                                                                  Wilkes University, Wilkes-Barre, PA 18766, U. S. A.


        A newfangled paradigm through deployment of the nonequilibrium Arora’s distribution function (NEADF) for resistance surge in low-dimensional nano-resistors is presented, with applications to carbon-based devices. The key outcome is that the Ohm’s Law with linear I-V characteristics cannot be used for devices approaching micro- and nano-scale. A nano-resistor, in addition to having ohmic resistance, also necessitates the value of the critical voltage for its complete description. This critical voltage is proportional to the length of the resistor.  In macro resistors of yesteryears, the critical voltage is much larger than the applied voltage, with infinity as the default value. However, as devices are scaled down to the nanometer dimensions, the critical voltage is much lower than the applied voltage, including the traditional 5 V or even 1 V as the higher logic level for VLSI devices. As the applied voltage becomes larger than the critical voltage, Arora’s Law predicts current saturation due to velocity saturation.  The random velocity vectors in equilibrium transform to streamlined velocity vectors in a high electric field that is necessarily high in scaled down dimensions. The saturation current is thus limited by the intrinsic velocity vectors that become streamlined and hence ballistic in the sense that scattering does not play any active role in saturation. As I-V characteristics become nonlinear, the distinction between direct and differential resistance takes on an increasing importance due to dramatic rise in the differential resistance. The experimental nonlinear I-V characteristics, when voltage across the length of a resistor is higher than its critical value, defy ohmic and ballistic transmission through a nano-resistor. Arora’s Law embraces well the Ohm’s Law when applied voltage is smaller than the critical voltage.  It is shown that the smaller-length resistor becomes more resistive in a circuit where two resistors of the same ohmic value are used in series or parallel configuration. Transit time delay gives way to enhanced RC time delay and is the major limiting factor for signal propagation in ultra-large scale integration (ULSI) on a chip. Inductive L/R time constants are suppressed. The lecture will cover landscape from basic sciences to engineering with a touch of liberal arts that is talk of the day for an outcome-based education (OBE) making Engineering an Art in the Application of the Liberal Arts kindling STEAM (Science, Technology, Engineering, Arts, and Mathematics).


When: March 8, 2017, 4:00 PM                                                                                                   

Where: Colorado School of Mines, Hill Hall, Room 300

Contact: Dr. P. Craig Taylor,, 303-273-3586



Vijay Arora bio







It is with great sadness that we announce the passing of Mildred S. Dresselhaus of MIT.  She was a member of the External Advisory Board of the REMRESEC for the better part of a decade.  Our thoughts are with her husband, Gene, and her family at this difficult time.

Mildred S. Dresselhaus, A Short Biography 

    Professor Mildred Dresselhaus is a native of the Bronx, New York City, where she attended the New York City public schools through junior high school, completing her high school education at Hunter College High School in New York City. She began her higher education at Hunter College in New York City and received a Fulbright Fellowship to attend the Cavendish Laboratory, Cambridge University (1951-52). Professor Dresselhaus received her master's degree at Radcliffe College (1953) and her Ph.D. at the University of Chicago (1958).

Professor Dresselhaus began her MIT career at the Lincoln Laboratory. During that time she switched from research on superconductivity to magneto-optics, and carried out a series of experiments, which led to a fundamental understanding of the electronic structure of semi-metals, especially graphite.

A leader in promoting opportunities for women in science and engineering, Professor Dresselhaus received a Carnegie Foundation grant in 1973 to encourage women's study of traditionally male dominated fields, such as physics. In 1973, she was appointed to The Abby Rockefeller Mauze chair, an Institute-wide chair, endowed in support of the scholarship of women in science and engineering. She held one of twelve Institute Professorships at MIT.


The Renewable Energy Materials Research Science and Engineering Center1 has made a research mission of identifying, launching, and advancing innovative research directions in sustainable materials for renewable energy, meeting its human resource mission of educating the next generation of renewable energy professionals, creating outreach programs to inform the public about the potential of renewable energy, and promoting diversity among faculty, research associates, staff, students, and future students.

The Center harnesses the vibrant energy vision of Colorado School of Mines, the extensive research resources of the nearby National Renewable Energy Laboratory (NREL)2, and the growing national interest to advance the solar, fuel cell and renewable energy technologies and research. The Center integrates cutting-edge basic research with education and outreach, into a powerful interdisciplinary mix to drive new research frontiers. Of particular interest are renewable energy technologies utilizing earth-abundant and sustainable materials.

1 REMRSEC is funded under a cooperative agreement with the National Science Foundation through the MRSEC program in the Division of Materials Research (DMR-0820518)

2 NREL is the primary national laboratory for renewable energy and energy efficiency research and development for the U.S. Department of Energy. NREL is operated for DOE by the Alliance for Sustainable Energy, LLC, comprised of the Midwest Research Institute, Battelle Memorial Institute, CU-Boulder, CSU, Colorado School of Mines, MIT and Stanford. For more information visit

INSIDE REMRSEC: Advancing the Frontiers of Renewable Energy Materials Research

2016 Honors & Awards

Carolyn Koh received the Dean's Excellence Award at the 2016 Faculty Forum

Andrew Herring received the ENFL Distinguished Service Award from the American Chemical Society

Eric Toberer won an NSF CAREER Award

P. Craig Taylor received the CASE Connector Award from the College of Applied Science and Engineering

Jeff Squier received the CASE Connector Award from the College of Applied Science and Engineering

Alan Sellinger received tenure

Chuck Stone was named outstanding faculty in physics by graduating seniors

David Ginley was added to the Chemistry Department Wall of Fame


REMRSEC external advisory board member and MIT Professor Emerita Mildred Dresselhaus, dies at age 86. Read the full story from MIT News.

Corinne PackardCorinne Packard receives AIME Robert Lansing Hardy Award, given annually to a younger member of TMS who has shown exceptional promise for a successful career.

Carolyn Koh Carolyn Koh recognized for her service on Secretary of Energy Advisory Board's Task Force on Methane Hydrates.

REMRSEC student and Physics PhD candidate Grant Klafehn will be the student speaker at the Fall 2016 Commencement for graduate students.

Craig TaylorFormer REMRSEC Director P. Craig Taylor recognized for research, leadership, mentorship during retirement celebration

Chemistry Professor Ryan Richards has been named interim director of REMRSEC, and Chemical and Biological Engineering Professor Carolyn Koh has been named interm co-director, both effective July 1, 2016

Adele TamboliREMRSEC 'alumna' and Physics Research Assistant Professor Adele Tamboli receives award from Energy Department Early Career Research Program

Inside cover of Physical Chemistry Chemical PhsyicsMines' Lakshmi Krishna, Eric Toberer, Carolyn Koh, and Mark Maupin among authors of research featured on inside cover of Physical Chemistry Chemical Physics: "Dynamic free energy surfaces for sodium diffusion in type II silicon clathrates"

Eric TobererAssistant Professor of Physics Eric Toberer has received an NSF CAREER Award for research that could ultimately yield the next generation of thermoelectric materials.