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

doi:10.1088/1674-1056/20/1/017503

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 17503-017503.doi: 10.1088/1674-1056/20/1/017503

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

尤文龙¹, 何培松², 田光善²

(1)School of Physics and Technology, Suzhou University, Suzhou 215006, China; (2)School of Physics, Peking University, Beijing 100871, China

收稿日期:2010-07-12 修回日期:2010-09-01 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
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).

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

Received:2010-07-12 Revised:2010-09-01 Online:2011-01-15 Published:2011-01-15
Supported by:
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).

摘要/Abstract

摘要： 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 Ψ₀. Furthermore, we show that Ψ₀ has a directional long-range order.

关键词: multi-orbital degree of freedom, quantum compass model, directional order

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.

Key words: multi-orbital degree of freedom, quantum compass model, directional order

中图分类号: (Quantized spin models, including quantum spin frustration)

75.10.Jm

71.70.Ej (Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect) 71.20.Be (Transition metals and alloys)

何培松, 尤文龙, 田光善. Two-dimensional quantum compass model in a staggered field: some rigorous results[J]. 中国物理B, 2011, 20(1): 17503-017503.

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[J]. Chin. Phys. B, 2011, 20(1): 17503-017503.

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

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

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