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Fractional electric charge of a magnetic vortex at nonzero temperature
Affiliation:1. The School of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing, China;2. The School of Computer and Software, Nanjing University of Information Science and Technology, China;1. Thermal Engineering and Energy Systems Group (GITSE), Aragón Institute for Engineering Research (I3A), University of Zaragoza, 50018 Zaragoza, Spain;2. Department of Design and Manufacturing Engineering, EINA, University of Zaragoza, María de Luna 3, 50018 Zaragoza, Spain;3. Water and Environmental Health-IUCA Research Group, University of Zaragoza, 50018 Zaragoza, Spain;4. Department of Architecture, EINA, University of Zaragoza, María de Luna 3, 50018 Zaragoza, Spain;5. GEOFOREST-IUCA Research Group, Department of Geography, University of Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain;6. Centro Universitario de la Defensa de Zaragoza, Academia General Militar, Ctra. de Huesca s/n, 50090 Zaragoza, Spain
Abstract:An ideal gas of two-dimensional Dirac fermions in the background of a pointlike magnetic vortex with arbitrary flux is considered. We find that this system acquires fractional electric charge at finite temperatures and determine the functional dependence of the thermal average and quadratic fluctuation of the charge on the temperature, the vortex flux, and the continuous parameter of the boundary condition at the location of the vortex.
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