Topological Configuration in the Heisenberg Spin Sequence and DNA

  • Subhamoy Singha RoyEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 302)


We have considered here that the conformational properties of a DNA molecule can be mapped onto a Heisenberg spin system when spins are located on the axis forming an antiferromagnetic chain. This helps us to study the topological properties of a DNA molecule in terms of SU(2) gauge fields. The entanglement entropy of the spin system in a supercoil has been determined and it is pointed out that this effectively corresponds to the thermodynamic entropy. The model reproduces salient features of the Rod-Like-Chain model avoiding the “RLC model crisis”.


Heisenberg spin system Antiferromagnetic spin chain Lagrangian Entanglement entropy Gauss linking number Chern-Simons topology DNA supercoil Nonquantized monopole 



The authors are grateful to express my deep gratitude to my beloved Sir Prof. Pratul Bandyopadhyay for helpful discussion.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of PhysicsJIS College of Engineering (Autonomous), West Bengal University of TechnologyKalyani, NadiaIndia

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