@article{bauer2013effect, author = {Bauer, Bela and Lutchyn, Roman and Hastings, Matthew and Troyer, Matthias}, title = {Effect of thermal fluctuations in topological p-wave superconductors}, year = {2013}, month = {January}, abstract = {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 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 TKT. Within the spinful chiral p-wave model, we also investigate the interplay between half-quantum vortices carrying Majorana zeroenergy 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.}, publisher = {American Physical Society}, url = {http://approjects.co.za/?big=en-us/research/publication/effect-thermal-fluctuations-topological-p-wave-superconductors/}, pages = {14503}, journal = {Physical Review B}, volume = {87}, chapter = {1}, }