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Electronic states around vortex cores in high-Tc superconductors are studiedusing the two-dimensional t-J model in order to treat the d-wavesuperconductivity with short coherence length and the antiferromagnetic (AF)instability within the same framework. We focus on the disappearance of thelarge zero-energy peak in the local density of states observed in high-Tcsuperconductors. When the system is near the optimum doping, we find that thelocal AF correlation develops inside the vortex cores. However, the detaileddoping dependence calculations confirm that the experimentally observedreduction of the zero-energy peak is more reasonably attributed to thesmallness of the core size rather than to the AF correlation developed insidethe core. The correlation between the spatial dependence of the core states andthe core radius is discussed.Comment: 4 pages, 4 figure

physical review. b, condensed matter

Electronic states around a vortex core in high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>superconductors based on the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi></mml:math>model

Electronic states around a vortex core in high-Tcsuperconductors based on thet-Jmodel