We prove the existence of low-energy excitations in insulating systems at general filling factor under certain conditions, and discuss in which cases these may be identified as topological excitations. In the specific case of half-filling this proof provides a significantly shortened proof of the recent higher-dimensional Lieb-Schultz-Mattis theorem.
机构:
Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
Lu, Yong
Zhou, Qiannan
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Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
机构:
Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
Hebei Normal Univ, Dept Phys, Shijiazhuang 050024, Hebei, Peoples R ChinaBeijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
He, Jing
Liang, Ying
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Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
Liang, Ying
Kou, Su-peng
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Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China