Analytic approach to the antiferromagnetic van Hove singularity model for high-Tc superconductors

D. Y. Xing; Mei Liu; Yong-Gang Wang; Jinming Dong

doi:10.1103/PhysRevB.60.9775

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Analytic approach to the antiferromagnetic van Hove singularity model for high-Tc superconductors

D. Y. Xing, Mei Liu, Yong-Gang Wang, Jinming Dong

DOI 10.1103/PhysRevB.60.9775 · Physical Review B

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Abstract

An analytic approach to the antiferromagnetic van Hove singularity (VHS) model is developed to account for the small oxygen-isotope effect of high-Tc cuprates. Starting from the hole dispersion in an antiferromagnetic background, we derive and obtain analytic expressions for density of states (DOS) with a narrow VHS peak. Both Tc and the isotope coefficient α are calculated using the hole-boson coupling and d-wave gap equation. It is shown that a very small α at optimal doping stems from the fact that the half-width of the VHS peak in the DOS is smaller than the maximal boson energy. The origin of α varying with doping is also discussed.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
La2-xSrxCuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
YBa2Cu3O7-x Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
HgBa2Can-1CunO2n+2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown