论文标题
Lieb Schultz Mattis型定理和与保守偶极矩的紧密相关系统的其他非扰动结果
Lieb Schultz Mattis-Type Theorems and Other Non-perturbative Results for Strongly Correlated Systems with Conserved Dipole Moments
论文作者
论文摘要
对许多身体物理学的非扰动约束（例如著名的Lieb-Schultz-Mattis定理）是研究强相关系统的宝贵工具。为此，我们提出了许多非扰动结果，这些结果限制了具有保守偶极矩的系统的低能物理学。我们发现，对于这些系统，只有当系统的极化是整数时，才有可能出现独特的翻译间隙基态。此外，如果晶格系统还具有$ u（1）$子系统电荷保护对称性，则只有在这些子系统填充粒子填充整数时，才有可能出现独特的间隙基态。我们还将这些方法应用于自旋系统，并确定在存在非均匀磁场的情况下存在新型磁反应平台的标准。最后，我们为由偶极子组成的1D系统制定了Luttinger定理的版本。
Non-perturbative constraints on many body physics--such as the famous Lieb-Schultz-Mattis theorem--are valuable tools for studying strongly correlated systems. To this end, we present a number of non-perturbative results that constrain the low-energy physics of systems having conserved dipole moments. We find that for these systems, a unique translationally invariant gapped ground state is only possible if the polarization of the system is integer. Furthermore, if a lattice system also has $U(1)$ subsystem charge conservation symmetry, a unique gapped ground state is only possible if the particle filling along these subsystems is integer. We also apply these methods to spin systems, and determine criteria for the existence of a new type of magnetic response plateau in the presence of a non-uniform magnetic field. Finally, we formulate a version of Luttinger's theorem for 1D systems consisting of dipoles.
