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Chin. Phys. B, 2011, Vol. 20(1): 017503    DOI: 10.1088/1674-1056/20/1/017503

Two-dimensional quantum compass model in a staggered field: some rigorous results

He Pei-Song(何培松)a), You Wen-Long(尤文龙)b), and Tian Guang-Shan(田光善)a)†
a School of Physics, Peking University, Beijing 100871, China; b School of Physics and Technology, Suzhou University, Suzhou 215006, China
Abstract  We study the properties of the two-dimensional quantum compass model in a staggered field. Using the Perron–Fröbenius theorem and the reflection positivity method, we rigorously determine the low energy spectrum of this model and its global ground state $\varPsi_0$. Furthermore, we show that $\varPsi_0$ has a directional long-range order.
Keywords:  multi-orbital degree of freedom      quantum compass model      directional order  
Received:  12 July 2010      Revised:  01 September 2010      Accepted manuscript online: 
PACS:  75.10.Jm (Quantized spin models, including quantum spin frustration)  
  71.70.Ej (Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect)  
  71.20.Be (Transition metals and alloys)  
Fund: Project supported by the National Science Foundation of China (Grant No. 10874003) and the Ministry of Science and Technology of China (Grant No. 2006CB921300). Y. W. L. is supported by Start-up Funding for Young Faculty Members at Suzhou University, China (Grant Nos. Q3108907 and Q4108907).

Cite this article: 

He Pei-Song(何培松), You Wen-Long(尤文龙), and Tian Guang-Shan(田光善) Two-dimensional quantum compass model in a staggered field: some rigorous results 2011 Chin. Phys. B 20 017503

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