Elementary Theory of the Properties of the Cuprates
Cuprates have proven to be superconducting at high temperatures.1,2 Mattheiss3 and Yu, Freeman, and Xu4 have already provided self-consistent LAPW calculations of the bands of La2CuO4, and Mattheiss has interpreted them in terms of a tight-binding description. Here we provide a preliminary account of an independent tight-binding analysis which provides a self-contained semiquantitative description of the bands, roughly consistent with those given earlier. It also allows estimates of the other properties of this system. In particular we analyze the vibrational and antiferromagnetic properties, finding in the nonmagnetic metallic state an electron-paramagnon coupling constant which becomes arbitrarily large as one approaches the antiferromagnetic state. It may thus account for the high-temperature superconductivity.
KeywordsFermi Surface Brillouin Zone Antiferromagnetic State Schroedinger Equation Antiferromagnetic Transition
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