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• Stable multi domain wall states containing two or more domain walls can be obtained based on our microscopic model. • A novel hybrid st ate consisting of two domain walls and one centered vortex tends to emerge as the zero field ground state of the rectangular system. • Complex coreless skyrmionic states with different enclosed structures of domain walls c an appear in the rectangular sample. In the framework of the microscopic Bogoliubov-de Gennes theory, we investigate the topological defect states in mesoscopic chiral p -wave superconducting rectangles. In the absence of applied magnetic field, stable multi-domain-wall states containing two or more domain walls can be obtained with the increase of the aspect ratio of the rectangle at zero temperature. When the external field is applied, the multi-domain-wall state can only be found as the ground state at finite flux. Interestingly, a hybrid state consisting of two domain walls and one centered vortex tends to emerge as the zero-field ground state of the rectangular system. For enlarged applied flux, several coreless skyrmionic states with different enclosed structures of domain walls as well as the half-quantum vortex-antivortex pair can appear in the present sample. [ABSTRACT FROM AUTHOR]

Using Bogoliubov-de Gennes formalism, the chiral order parameters in mesoscopic p-wave superconducting noncircular systems are investigated in the absence of applied magnetic field. For the perfect square or rectangular sample, a single-domain-wall state tends to emerge, accompanied by a vertical or horizontal domain wall separating the regions with different chiralities. This type of domain walls can be effectively tuned by temperature and the aspect ratio of samples, and the multi-domain-wall state containing two domain walls can be obtained. Moreover, for a p-wave square loop with a centered hole, the diagonal-symmetric mode for orders is presented, leading to four domain walls placed at the center of four arms of the loop. In particular, several peculiar domain-wall states may show up in the asymmetric square loop system with an off-centered hole. [ABSTRACT FROM AUTHOR]