| EPSRC Reference: |
GR/H94986/01 |
| Title: |
A MANY-BODY TREATMENT OF STRONGLY INTERACTING SPIN AND FERMION LATTICE MODELS FOR HIGH-TC SUPERCONDUCTIVITY |
| Principal Investigator: |
Bishop, Professor RF |
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| Department: |
Mathematics |
| Organisation: |
UMIST |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
17 December 1993 |
Ends: |
16 December 1996 |
Value (£): |
106,597
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Summary on Grant Application Form |
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The coupled cluster method (CCM) is one of the most powerful and accurate modern methods available for ab initio microscopic descriptions of quantum many-body systems. It has been very widely applied with great success to diverse condensed matter systems. Two of the strong points in favour of the method are the simplicity and transparency of its derivation, and its systematic extension to higher orders of implementation. Over the last 3 years the applicants have demonstrated its usefulness for spin lattice systems exhibiting antiferromagnetism. We intend to implement the method at higher orders in well-defined approximation schemes, using computer algebraic techniques, and expect to attain accuracies of the sort now attainable in quantum chemistry using the CCM. Such accuracy should rival that now achieved for eg, the 2D Heisenberg model using large scale Monte-Carlo techniques. We shall then further employ the method for 2D spin and electron lattice models relevant to high temperature superconductivity (eg Heisenberg and related models plus frustration and/or static vacancies, t-J, Hubbard etc for which the minus sign problem makes a Monte-Carlo treatment essentially intractable at present.
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Key Findings |
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Potential use in non-academic contexts |
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| Description |
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Sectors submitted by the Researcher |
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