The effects of strong inter-electron interactions give rise to a remarkable range of anomalous behaviour in condensed matter systems, producing phenomena as varied as metal-insulator transitions, the fractional quantum Hall effect, high temperature superconductivity, and heavy fermion metals, insulators and magnets. The high temperature superconductors may even herald a breakdown of the fundamental Fermi-liquid theory of metals.
Although many theoretical models have been put forward as a basis for understanding these systems ,new mathematical techniques are required to provide results in the physically appropriate strong interaction regimes where many-body perturbation techniques are not applicable. In recent years non-perturbative methods have been developed and applied with great success to one dimensional and impurity models, and these have led to an understanding of the breakdown of Fermi liquid behaviour in one dimension.
The aim of this programme is to develop many-body approaches which can be applied to higher dimensional systems, and to remaining problems in one dimension such as transport, by bringing together experts from a wide range of mathematical approaches. Links with the experimental community in this field will be maintained, particularly through workshops and seminars.
Report: Download Report
Studying the evolution of open quantum systems via conditional Wiener integrals
Authors: Yuri Lobanov, VD Rushai
Spin and charged gaps in strongly correlated electron systems with negative or positive couplings
Authors: J-G Wang, Guang-Shan Tian
Conducting electron strings in oxides
Authors: Feodor Kusmartsev
Probing superconducting phase fluctuations from the current noise spectrum of pseudogaped metal-superconductor tunnel junctions
Authors: X Dai, Tao Xiang, Tai-Kai Ng, ET Al
Topological effects at short antiferromagnetic Heisenberg chains
Authors: J Lou, S Quin, Tai-Kai Ng, ET Al
Theory of valence transitions in Ytterbium-based compounds
Authors: Veljko Zlatic, James Freericks
4 January 2000 to 8 January 2000
18 February 2000 to 21 February 2000
10 April 2000 to 20 April 2000
17 June 2000 to 17 June 2000
23 June 2000 to 24 June 2000
26 June 2000 to 30 June 2000
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INI is a creative collaborative space which is occupied by up to fifty-five mathematical scientists at any one time (and many more when there is a workshop). Some of them may not have met before and others may not realise the relevance of other research to their own work.
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“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
INI has a vital national role, building on many strengths that already exist in UK universities, aiming to generate a new vitality through stimulating and nurturing research throughout the country.During each scientific programme new collaborations are made and ideas and expertise are exchanged and catalysed through lectures, seminars and informal interaction, which the INI building has been designed specifically to encourage.
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