Topological Structure of Nonrelativistic ChernSimons Vortices Solution

]LIU Zi-yu; #; ZHANG Peng-ming; 

doi:10.11804/NuclPhysRev.25.01.020

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Article Navigation > Nuclear Physics Review > 2008 > 25(1): 20-26

]LIU Zi-yu, #, ZHANG Peng-ming, , . Topological Structure of Nonrelativistic ChernSimons Vortices Solution[J]. Nuclear Physics Review, 2008, 25(1): 20-26. doi: 10.11804/NuclPhysRev.25.01.020

Citation:

]LIU Zi-yu, #, ZHANG Peng-ming, , . Topological Structure of Nonrelativistic ChernSimons Vortices Solution[J]. Nuclear Physics Review, 2008, 25(1): 20-26. doi: 10.11804/NuclPhysRev.25.01.020

Topological Structure of Nonrelativistic ChernSimons Vortices Solution

doi: 10.11804/NuclPhysRev.25.01.020

1 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China; 2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, China; 3 Graduate School of Chinese Academy of Sciences, Beijing 100049, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2008-03-20

Abstract

By using the gauge potential decomposition, we have discussed the selfdual equation and its solution in JackiwPi model. We obtained a new concrete selfdual equation and find relationship between ChernSimons 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 JackiwPi 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.
- topological number,
- vortex,
- JackiwPi model
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Topological Structure of Nonrelativistic ChernSimons Vortices Solution

doi: 10.11804/NuclPhysRev.25.01.020

1 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China; 2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, China; 3 Graduate School of Chinese Academy of Sciences, Beijing 100049, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2008-03-20

Key words:

Abstract: By using the gauge potential decomposition, we have discussed the selfdual equation and its solution in JackiwPi model. We obtained a new concrete selfdual equation and find relationship between ChernSimons 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 JackiwPi 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.

]LIU Zi-yu, #, ZHANG Peng-ming, , . Topological Structure of Nonrelativistic ChernSimons Vortices Solution[J]. Nuclear Physics Review, 2008, 25(1): 20-26. doi: 10.11804/NuclPhysRev.25.01.020

Citation: