{"id":163107,"date":"2018-11-06T17:23:06","date_gmt":"2018-11-07T01:23:06","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/effect-of-thermal-fluctuations-in-topological-p-wave-superconductors\/"},"modified":"2018-11-06T17:23:06","modified_gmt":"2018-11-07T01:23:06","slug":"effect-of-thermal-fluctuations-in-topological-p-wave-superconductors","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/effect-of-thermal-fluctuations-in-topological-p-wave-superconductors\/","title":{"rendered":"Effect Of Thermal Fluctuations In Topological P-Wave Superconductors"},"content":{"rendered":"<div class=\"asset-content\">\n<p>We study the effect of thermal fluctuations on the topological stability of chiral p-wave superconductors. We consider two models of superconductors: spinless and spinful with a focus on topological properties and Majorana zero-energy modes. We show that proliferation of vortex-antivortex pairs above the Kosterlitz-Thouless temperature T<sub>KT<\/sub> drives the transition from a thermal Quantum Hall insulator to a thermal metal\/insulator, and dramatically modifies the ground-state degeneracy splitting. Therefore, in order to utilize 2D chiral p-wave superconductors for topological quantum computing, the temperature should be much smaller than T<sub>KT<\/sub>. Within the spinful chiral p-wave model, we also investigate the interplay between half-quantum vortices carrying Majorana zero-energy modes and full-quantum vortices having trivial topological charge, and discuss topological properties of half-quantum vortices in the background of proliferating full-quantum vortices.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We study the effect of thermal fluctuations on the topological stability of chiral p-wave superconductors. We consider two models of superconductors: spinless and spinful with a focus on topological properties and Majorana zero-energy modes. We show that proliferation of vortex-antivortex pairs above the Kosterlitz-Thouless temperature TKT drives the transition from a thermal Quantum Hall insulator 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