Dispersion Relations of Nambu-Goldstone Modes
Dispersion Relations of Nambu-Goldstone Modes
复制标题
Nambu-Goldstone 模的色散关系
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
T. Koma
中科院分区：
文献类型：
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作者：
T. Koma
研究了超立方晶格上量子反铁磁海森堡模型中Nambu-Goldstone模式的能量-动量关系。这项工作是前一系列关于模型的续集。我们证明了Nambu-Goldstone模式在小动量下表现出线性色散关系，即Nambu-Goldstone激发的低能量与具有对称破缺的无限体积基态上的自旋波动量成正比。我们的方法依赖于由量子海森堡反铁磁体的反射正性推导出的磁化率的上界。该方法也适用于其他体系，只要相应的磁化率上界是合理的。学习院大学物理系（已退休），东京都富岛区美二郎，日本东京1718588
We study the energy-momentum relations of the Nambu-Goldstone modes in quantum antiferromagnetic Heisenberg models on a hypercubic lattice. This work is a sequel to the previous series about the models. We prove that the Nambu-Goldstone modes show a linear dispersion relation for the small momenta, i.e., the low energies of the Nambu-Goldstone excitations are proportional to the momentum of the spin wave above the infinite-volume ground states with symmetry breaking. Our method relies on the upper bounds for the susceptibilities which are derived from the reflection positivity of the quantum Heisenberg antiferromagnets. The method is also applicable to other systems when the corresponding upper bounds for the susceptibilities are justified. Department of Physics, Gakushuin University (retired), Mejiro, Toshima-ku, Tokyo 1718588, JAPAN
量子物理中的数学问题
DOI：
10.1090/conm/717
发表时间：
2017
期刊：
Contemporary Mathematics
影响因子：
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作者：
F. Bonetto;David Borthwick;E. Harrell;M. Loss
通讯作者：
M. Loss