Lattice Approach of the Antiferromagnetic Heisenberg Model in 2+1 Dimensions and the Hopf Chern-Simons Terms
The 2+1 dimensional antiferromagnetic (A.F.) Heisenberg model, which is equivalent to the Hubbard model at half filling, had been intensively studied recently, since P.W. Anderson proposed the pioneering ideas about the high Tc superconductivity. Two space dimensions has the novel feature that the quantum statistics may be the fractional statistics. The fractional quantum Hall effects provide the first novel example of the application of fractional statistics to condensed matter physics2). In high Tc superconductor, as the cupper oxide layers play a crucial role, there has been much speculation recently3) that the novel feature of high Tc superconductivity should come from the novel feature of fractional statistics.
KeywordsContinuum Limit Hubbard Model Gauge Field Fractional Statistic Heisenberg Model
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