Topological Structure of Nonrelativistic ChernSimons Vortices Solution
doi: 10.11804/NuclPhysRev.25.01.020
- Received Date: 1900-01-01
- Rev Recd Date: 1900-01-01
- Publish Date: 2008-03-20
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Key words:
- topological number /
- vortex /
- JackiwPi model
Abstract: By using the gauge potential decomposition, we have discussed the selfdual equation and its solution in JackiwPi model. We obtained a new concrete selfdual equation and find relationship between ChernSimons vortex solution and topological number which is determined by Hopf indices and Brouwer degrees of mapping. To show the meaning of topological number we presented several figures with different topological numbers. In order to investigate the topological properties of many vortices, 5 parameters (two positions, one scale, one phase per vortex and one charge of each vortex) have been used to describe each vortex in many vortices solution in JackiwPi model. For many vortices, three figures with different topological numbers have been drown to show the effect of the charge on the many vortices solution. We also studied the quantization of flux of those vortices related to the topological numbers in this case.
Citation: | ]LIU Zi-yu, #, ZHANG Peng-ming, , . Topological Structure of Nonrelativistic ChernSimons Vortices Solution[J]. Nuclear Physics Review, 2008, 25(1): 20-26. doi: 10.11804/NuclPhysRev.25.01.020 |