Effect of sample topology on the critical fields of mesoscopic superconductors

Self-assembly Routes towards Creating Superconducting and Magnetic Arrays

“…Here Φ o is the flux quantum and S = 3 1/2 d 2 /2 ( d is the period of the hexagonal structure). The peaks broaden with n. The amplitude of oscillations exceeds 1% of T c , which is comparable to results for lithographically prepared structures 24 . As can be seen from Fig.…”

Multivortex and giant vortex states near the expulsion and penetration fields in thin mesoscopic superconducting squares

“…Circular mesoscopic disks have been the most popular in this respect, both theoretically [1][2][3][4][5][6] and experimentally. [7][8][9][10][11][12][13] Two types of vortex states were found in such mesoscopic superconducting disks: ͑i͒ giant vortex states ͑GVSs͒, where the order parameter has a single zero and ͑ii͒ multivortex states ͑MVSs͒ consisting of several singly quantized vortices ͑mostly situated on shells͒. Experimentally, one measured the resistivity 7,8 and the magnetization 9,10 of the superconducting disk for the different vortex states.…”

“…[7][8][9][10][11][12][13] Two types of vortex states were found in such mesoscopic superconducting disks: ͑i͒ giant vortex states ͑GVSs͒, where the order parameter has a single zero and ͑ii͒ multivortex states ͑MVSs͒ consisting of several singly quantized vortices ͑mostly situated on shells͒. Experimentally, one measured the resistivity 7,8 and the magnetization 9,10 of the superconducting disk for the different vortex states. Since these quantities do not provide direct information on the vortex configuration, there was no direct proof for the existence of the different types of vortex states in mesoscopic superconductors.…”

“…14 In addition, it became clear that the stability of the different vortex states strongly depends on the sample shape. Experimentally, both resistivity measurements 7,20 and Hall magnetometry 21 have been performed on mesoscopic superconducting squares and triangles. H-T phase diagrams were constructed and the stability of the different vortex states were studied.…”

Sub‐Nano Clusters: The Last Frontier of Inorganic Chemistry

“…The property of superconducting property in clusters is strongly dependent on the physical size of the system (Bezryadin et al 2000;Bose et al 2010;Bose et al 2005;Guo et al 2004;Hsu et al 2006;LeClair et al 2005;Li et al 2008;Li et al 2005;Li et al 2003;Moshchalkov et al 1995;Reich et al 2003).…”