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Ground-State Properties for Bilayer Kitaev Model: Dimer Expansion Study

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Abstract

We study ground-state properties in the bilayer Kitaev model by means of the dimer expansion. The existence of parity symmetries in the system reduces the computational cost significantly. This allows us to expand the ground-state energy and interlayer spin-spin correlation up to the 30th order in the interdimer Kitaev coupling. The numerical calculations clarify that the dimer singlet state is indeed realized in the wide parameter region.

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Acknowledgements

This work is financially supported by Grant-in-Aid for Scientific Research from JSPS, KAKENHI Grant nos. JP17K05536, JP18K04678 (A.K.) and JP16K17747, JP16H02206, and JP16H00987 (J.N.). Parts of the numerical calculations were performed in the supercomputing systems in ISSP, the University of Tokyo.

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Authors and Affiliations

  1. Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo, 152-8551, Japan

    Akihisa Koga, Hiroyuki Tomishige & Joji Nasu

Authors
  1. Akihisa Koga
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  2. Hiroyuki Tomishige
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  3. Joji Nasu
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Correspondence to Akihisa Koga.

Additional information

This paper was presented at ICSM 2018.

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Koga, A., Tomishige, H. & Nasu, J. Ground-State Properties for Bilayer Kitaev Model: Dimer Expansion Study. J Supercond Nov Magn 32, 1827–1830 (2019). https://doi.org/10.1007/s10948-018-4891-5

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  • DOI: https://doi.org/10.1007/s10948-018-4891-5

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