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Off-diagonal long-range order implies vanishing charge gap

delete2021-11-08
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OA
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H
Hal Tasaki *
H
Haruki Watanabe
DOI:10.1103/PhysRevB.104.L180501delete
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摘要

摘要

En 中文
For a large class of quantum many-body systems with U(1) symmetry, we prove a general inequality that relates the (off-diagonal) long-range order with the charge gap. For a system of bosons or fermions on a lattice or in the continuum, the inequality implies that a ground state with off-diagonal long-range order inevitably has a vanishing charge gap, and hence is characterized by nonzero charge susceptibility. For a quantum spin system, the inequality implies that a ground state within a magnetization plateau cannot have transverse long-range order.
Keyword:
SYMMETRY-BREAKING
QUANTUM
STATES
EXCITATIONS
SYSTEMS
THEOREM

期刊

Physical Review B 封面图
Physical Review B
IF:
3.7
论文数:
15.4W
被引数:
41.0W

机构

U
University of Tokyo
学者数:
7.1W
论文数: 6.5W
被引数: 2.2K
Gakushuin University 封面图
Gakushuin University
学者数:
692
论文数: 622
被引数: 594
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