arXiv 2002.111762020-02cond-mat.str-elhep-th

一维LSM定理的初等证明

An elementary proof of 1D LSM theorems

Abhishodh Prakash

备注：: 13 pages, 12 figures. Note added in Sec VII about important previous work that was brought to my attention after the appearance of this draft on arXiv, which had explored key aspects of this work

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摘要：

Lieb-Schultz-Mattis（LSM）定理及其推广禁止在一定的晶格和内部对称性存在下存在唯一的带隙基态，从而对量子多体系统的低能性质施加了强有力的限制。利用矩阵乘积状态表示和群的表示理论，给出了一类一维广义LSM定理的初等证明。

英文摘要：

The Lieb-Schultz-Mattis (LSM) theorem and its generalizations forbids the existence of a unique gapped ground state in the presence of certain lattice and internal symmetries and thus imposes powerful constraints on the low energy properties of quantum many-body systems. We provide an elementary proof of a class of generalized LSM theorems in 1D using matrix product state representations and the representation theory of groups.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。