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January 2009 - March 2010

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University of Minnesota Twin Cities
Institute of Technology
School of Physics and Astronomy
Department of Physics

PI: Charles E. Campbell

Microscopic Study of Quantum Spin-lattice Systems and Their Phase Transitions

The discovery of high-temperature superconductors has been accompanied by an enormous interest in the study of quantum spin systems. Many theoretical and experimental investigations have attempted to probe possible links between the mechanism of high-temperature superconductivity in the cuprate materials and spin fluctuations and magnetic order in one- and two-dimensional spin-1/2 antiferromagnets. These researchers are applying the coupled cluster method (CCM) to some new quantum spin systems of theoretical and experimental interest, particularly those involving strongly frustrated quantum magnets that are difficult to treat by other methods. The whole subject of quantum phase transitions in frustrated quantum magnets has become an extremely hot topic in recent years. In particular, the nature of the paramagnetic or nonmagnetic phases of a quantum antiferromagnet without long-range magnetic order has attracted a great deal of interest in the hope of tracing their possible association with the mechanism of high-temperature superconductivity. This group is also very interested in extending previous results at zero temperatures to finite temperatures, in order to investigate the effects of thermal fluctuations on quantum phase transitions. If successful, this will open up a whole new research area of high interest to both the statistical physics and condensed matter communities.

Group Members

Raymond F. Bishop, School of Physics and Astronomy, University of Manchester, Manchester, United Kingdom
Peggy H. Y. Li, School of Physics and Astronomy, University of Manchester, Manchester, United Kingdom