Undergraduate Student Research
 in
   Theoretical and Computational Physics
     at Goucher College
 
Dr. Sasha Dukan

            Our research has received support over the years from the National Science Foundation, the Research Corporation, and the Beatrice Aitchson '28  funds at Goucher College.

dan
Daniel Pines
Class of 2006

Physics Major

Currently in Ph. D. program in Materials Science at University of Maryland, College Park
ncur
During the summer of 2005 Daniel Pines worked hard to calculate the specific heat of Nb
3Sn superconductor in the mixed state. His work consisting of first  learning a lot about superconductors at high magnetic fields and then writing programs in C++ on our new LINUX platform that replaced old "django" UNIX machine.  We kept the name since Dr. Dukan is so fond of 
Django Reinhardt

After two months of computer work we obtained theoretical curves that we compared with available experimental data.
A good qualitative agreement between theoretical curves and recent experimental data at very low temperatures is found, but there exists a significant quantitative difference at higher temperatures where our theory is less reliable due to number of approximations made in the calculation.

Daniel presented his research at the
National Conference  On Undergraduate Research (NCUR) 2006  The University of North Carolina at Asheville, Asheville, North Carolina, April 6 – 8, 2006.  The photo above shows Dan starting his presentation. Dan also published a paper in the in the Proceedings of the National Conference On Undergraduate Research  2006.

Joel Tenenbaum
Class of 2006

Physics Major

Mathematics Major
Music Minor
Currently in Ph. D. program in
Physics at Boston University

During the summer of 2004, I worked with Dr. Dukan studying the STM tunneling current in extreme type II superconductors in high magnetic fields.  This was particularly challenging since I had never done any programming other than some very basic BASIC on my TI-83 and some VERY minor html (think the html equivalent of “hi, how are you” with a broken accent).  Fortunately, our good John Trafton a few years previous had written his programs in C++ and had left comments in all the right places in the code.  All of the programming and debugging took a few weeks, but we started to get results.  It was quite something to see an elaborate 3D picture created in IDL as a result of programming I myself wrote when a few weeks previous all I could do in programming was make my calculator display “YOU SMELL”

I was fortunate enough to be selected to present our research on Capitol Hill at the Council on Undergraduate Research (CUR) poster session, which turned out to be an amazing experience.  Additionally, now I can point to a tie in my wardrobe and entertain others with the story of how my physics professor had selected it from a tie shop in Union Station, and how it’s technically only to be used at physics events.  I also presented our research at the National Conference of Undergraduate Research in Lexington, Virginia with the same tie (view my NCUR presentation and NCUR photos) .  There, with the photographic evidence to prove it, I submitted our work for publication in the NCUR Proceedings.  Overall, all of this was really a great experience, and as a result of it, I have a published paper, an acknowledgment from CUR for my research, a free tie, a pretty cool poster I'm sure my parents will laminate, and invaluable real experience in the physics world.

** I authored a paper published in the Proceedings of the National Conference On Undergraduate Research  2005 and you can check it out by clicking on a figure above.

Paul Powell
Class of 2003

Mathematics Major

During the summer of 2001,  I studied the thermal transport of type-II superconductors at high magnetic fields.  Others in the science division poked fun at my work with "imaginary superconductors",  because I worked only with computers using the language of C++ but little did they know we were on to something.   I programmed on our Unix workstations named ella and django, ella after Ella Fitzgerald and django after Django Reinhardt.  After many weeks of analyzing and optimizing code, I calculated the thermal conductivities of a borocarbide and an A-15 superconductor.   The calculated or theoretical curves are in excellent agreement with the available experimental data.  This nice agreement lead to the publishing of a paper in Physical Review B**.  Presently I am heading to Grahamstown, South Africa to study how superconductors operate in a post-apartheid southern hemisphere environment.

I presented my work at the 16th National Conference of Undergraduate Research at University of Wisconsin

           view my NCUR presentation or view NCUR photo

**I co-authored a Physical Review B article on this research. You can check it out by clicking on the figure above.


John Trafton
Class of 2003

Computer Science Major
Mathematics Major
Currently in M.S. program in Computer Science at Tufts University

   During the summer of 2002, I assisted Dr. Sasha Dukan in research on the specific heat of type II superconductors at extremely low temperature and high magnetic field. I started off the summer working with Amanda Carr, continuing her work from the previous summer. First, we wrote C++ programs to reproduce the previous results she obtained for ‘imaginary’ materials, and then we tackled the daunting and seemingly impossible task of performing the same calculations for a real material. Our initial assessment of the situation looked bleak—it seemed as though, due to the complexity of the equations involved, that performing the calculations for a single data point would take as long as 2 months! However, after applying just about every optimization technique I could think of, we were looking at 2 days instead of 2 months.
     After that, it took a number of tries to properly adjust the input values and the level of precision desired, but in the end, we had calculated specific heat for the type II superconductor YNi2B2C that correlated with observed lab data, and our findings were published in the Physical Review B.
    I wrote about this research experience in my admissions essay for the Masters degree program in Applied Mathematics at the University of Maryland, which I’m sure helped win them over. They accepted me and I’ll be studying there in Fall of 2003. 
**I co-authored a Physical Review B article on this research. You can check it out by clicking on the figure  above.


Amanda Carr
Class of 2002

Mathematics Major
Computer Science Major
French Minor

I spent the summer of 2001 doing research on the specific heat behavior of type-II superconductors at high magnetic fields. These programs calculate the ratio Cs/Cn, the specific heat of the material in the superconduting state versus the normal state for a "clean" superconductor as well as for a "dirty" superconductor. At this point, all the materials were "imaginary" (who ever said you can't play pretend as an adult?)  since values for a real superconducting material would have made my programs run for weeks at a time and would have made debugging impossible.
During the summer, Paul Powell and I together presented our findings thus far to various science professors and students here at Goucher. Even the Math and Computer Science faculty came to support their renegade major. You can see the power point presentation that WOWED them all by clicking here
I also  presented my work at the second annual "Beyond the Classroom ExPO". The audience here included staff, faculty, current students and prospective students, all from various disciplines.
What's Next?
Now that we have computer programs to run specific heat data, and we have results from some “imaginary” superconducting materials using hypothetical numbers, we are ready to move on to the "real thing." During the summer of 2002, I will be examining data from superconducting material which has already been tested in a lab, to compare our theory with real life results. 
**I co-authored a Physical Review B article on this research. You can check it out by clicking on the picture above.

Richard Howard

Class of 2002

 

Physics Major

I learned IDL (Interactive Data Language) in order to generate and analyze surfaces  representing quasiparticle energies in a superconductor at high magnetic fields. IDL  is one of the most powerful data analysis and visualization language packages available.  It is a fourth generation language which makes it more compact than other data analysis languages. During the fall of 2000 I wrote programs in IDL and searched for patterns in the appearance of gapless points in the energy spectrum.

I presented a poster about my research at the 1st annual "Beyond the Classroom ExPO" at Goucher College. You can view my poster by clicking on the picture above.

I co-authored a presentation at the 2001 March meeting of the American Physical Society in Seattle. Click here for the abstract. 

Oskar Vafek

Class of 1998


Chemistry Major , Physics Minor
2003 Ph. D. in Physics,
Johns Hopkins University
2006 Condensed Matter Faculty at Florida State University and the National High Magnetic Field Laboratory

Oskar and Sasha developed a theoretical model  to explain an experimentally observed anomalous divergence of the upper critical field at low temperatures at high magnetic fields. Oskar  utilized his background in physics, mathematics and computer science to develop computer codes in FORTRAN and C languages on django and numerically computed a critical field  as the function of temperature. 
       Oskar was awarded Goucher’s Presidential Scholarship for this  research,  which he used to travel to Los Angeles for the 1998 American Physical Society March meeting where he presented his research. You can read his abstract by clicking on the picture above. Oskar and Sasha  published their results in the leading journal on superconductivity Physica C (Holland).
        Oskar is currently a post-doctoral fellow at Stanford in the group of Prof. Robert Laughlin, a winner of the Nobel Prize. Oskar has become one of  the leading young scholars in the field of superconductivity and has published many more articles in prestigious journals like Physical Review, Physica,  etc. You can check them out here
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