PARAMAGNETIC AND ANTIFERROMAGNETIC SIGNATURES IN EXACT BROAD-SPECTRUM NUMERICAL ANALYSIS OF HIGH TEMPERATURE SUPERCONDUCTORS
Abstract
By developing a program in MATLAB, an exact solution of a 16x16 matrix representation of the 2-D Hubbard Hamiltonian used in describing a simplified 2x1 CuO2 plane (which are known to play a significant role in HTc-superconductivity in cuprates) is revisited. A broad-spectrum analysis of the Helmholtz Free energy, F(T), and the entropy, S(T), of High-Temperature superconductors (HTS) reveal some very interesting results which include the exhibition of a paramagnetic phase in the Repulsive Hubbard model, RHM (U>0), and an antiferromagnetic behaviour of the Attractive Hubbard model, AHM (U<0); whereas, there is a low-temperature antiferromagnetic signature in both aspects of the models.
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