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Long range order in the ground state of quantum interacting rotors in two dimensions

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  • Wojtkiewicz, Jacek

Abstract

It has been rigorously proved that the ground state of interacting quantum rotors in two dimensions exhibits the magnetic long-range order in the ferromagnetic case. The assumptions are that the interaction is between nearest neighbors and it is strong enough, and that rotors are sufficiently heavy. The proof is based on the Reflection Positivity technique.

Suggested Citation

  • Wojtkiewicz, Jacek, 2012. "Long range order in the ground state of quantum interacting rotors in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5918-5925.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:23:p:5918-5925
    DOI: 10.1016/j.physa.2012.06.028
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