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Birck Nanotechnology Seminar Series

Finite Size Scaling and Quantum Criticality

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Contributor(s) Sabre Kais
Purdue University, West Lafayette
Abstract The study of quantum phase transitions, which are driven by quantum fluctuations as a consequence of Heisenberg's uncertainty principle, continues to be of increasing interest in the fields of condensed matter and atomic and molecular physics. In this field we have established an analogy between symmetry breaking of electronic structure configurations and quantum phase transitions. Furthermore, we have developed the finite size scaling method for quantum systems. In this case, the finite size corresponds not to the spatial dimension but to the number of elements in a complete basis set used to expand the exact wave function of a given Hamiltonian. In this lecture, I will discuss how finite size scaling works in quantum mechanics and how to calculate quantum critical parameters for stability of atomic, molecular and quantum dot systems.
Biography Sabre Kais is a Professor of Chemistry and Computer Science (courtesy). He received his Ph.D. in Chemical Physics at the Hebrew University, was a Postdoc in the Chemistry Department at Harvard University, and joined the faculty of the Department of Chemistry at Purdue in 1994. He, in correlation with his students and postdoctoral associates, has published 114 papers in peer-reviewed journals. His research interests include: Electronic structure and dynamics of atoms, molecules and quantum dots; quantum information and computation; stability of matter in super-intense laser fields. He received the National Science Foundation Career Award, Purdue University Faculty Scholar Award 2004-2009; 2005, Guggenheim Fellowship Award and was elected this year as Fellow of the American Physical Society.
Sponsored by The Birk Nanotechnology Center
The Bindley Bioscience Center
Purdue Discovery Park
The NASA Institute for Nanoelectronics and Computing
The Network for Computational Nanotechnology
VEECO
NCN Student Leadership Council
Department of Chemistry
Department of Physics
School of Chemical Engineering
School of Electrical and Computer Engineering
School of Mechanical Engineering
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If you reference this work in a publication, please cite as follows:

  • Kais, Sabre (2007), "Finite Size Scaling and Quantum Criticality," http://www.nanohub.org/resources/2663/.

    BibTex | EndNote

Date posted 09 May, 2007
Time 10:30 AM, April 19, 2007
Location Birck Nanotechnology Center, Room 1001
Type Online Presentations
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