Exact Results for Spin and Charge Dynamics of Electrons with Supersymmetry
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In the presence of strong interactions, spin and charge of electrons behave differently. In the half-filled case of the Hubbard model with large on-site repulsion, for example, charge excitation has a gap but spin excitations remain gapless. The dynamics in the large energy scale can be understood in terms of perturbation theory. However study of the infrared behavior requires more sophisticated approach like the renormalization group or exact solution. Concept of the fixed point turns out to be vital in understanding the dynamics in the infrared limit. Although starting models have an extreme variety, the number of different fixed points are very few. Therefore classification of models according to their fixed points are useful.
KeywordsWave Function Hubbard Model Free Fermion Permutation Operator Charge Excitation
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