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Second Quantization and Majorana Modes

Particles That are Their Own Antiparticles

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Abstract

This article reviews the basic concepts of second quantization as used in condensed matter physics. The Kitaev chain was the first system shown to exhibitMajorana zeromodes, which exhibit novel statistics and thus find enormous applications in topological quantum computation. Simple calculations of the band structure and density of states showing the presence of Majorana zero modes are presented.

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References

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Correspondence to Arnab Barman Ray.

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Arnab Barman Ray is a graduate student at the Institute of Optics, University of Rochester. He completed his Integrated Masters in Physics from IIT Kharagpur in 2018. This article presents a part of the work carried out by him under Dr Saurabh Basu at IIT Guwahati in the summer of 2016.

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Ray, A.B. Second Quantization and Majorana Modes. Reson 23, 1375–1393 (2018). https://doi.org/10.1007/s12045-018-0748-2

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  • DOI: https://doi.org/10.1007/s12045-018-0748-2

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