| EPSRC Reference: |
EP/C007042/1 |
| Title: |
Application of sparse matrix techniques and multigrid methods for disordered and interacting quantum systems |
| Principal Investigator: |
Roemer, Professor RA |
| Other Investigators: |
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| Department: |
Physics |
| Organisation: |
University of Warwick |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 2005 |
Ends: |
31 December 2009 |
Value (£): |
109,934
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Summary on Grant Application Form |
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We propose to study the physics of disordered and interacting quantum systems using sparse-matrix and multigrid methods. The physics of these systems has in the last decade produced a variety of surprising and new results that are of fundamental importance and experimental relevance. These new effects are usually based on the interplay of at least two parameters such as electron interactions and disorder strength (e.g., for the 2D metal-insulator transition). The research proposed in this case for support focuses on such phenomena and intends to contribute to their physical understanding. By using (A) novel numerical methods of high-performance computing, we intend to understand (B) disordered quantum systems, (C) the interplay of disorder and interactions and the added complications arising due to strong magnetic fields. The proposed research spans a wide area, ranging from disordered solids, to interacting electron systems and on to quantum Hall fluids.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.warwick.ac.uk |