论文标题
关键U（1）旋转液体和张量网络中的紧密对称性的鲁棒性
Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks
论文作者
论文摘要
我们研究了临界谐振价键（RVB）自旋液体对使用长距离单元掺杂的响应，而U（1） - 对称张量网络对非对称扰动的响应。使用现场理论描述，我们发现在RVB中，掺杂构成了相关的扰动，与以前的观察相反，立即打开了差距。我们的分析即使在显着掺杂，我们也可以使用高精确性数值模拟来验证它们的相关长度非常大。这强调了进行仔细分析的必要性，同时也证明将此类状态作为对关键系统的变异ansatz的使用是合理的。最后，我们给出了一个PEPS的示例，其中非对称扰动不会打开差距和U（1）对称性重新出现。
We study the response of critical Resonating Valence Bond (RVB) spin liquids to doping with longer-range singlets, and more generally of U(1)-symmetric tensor networks to non-symmetric perturbations. Using a field theory description, we find that in the RVB, doping constitutes a relevant perturbation which immediately opens up a gap, contrary to previous observations. Our analysis predicts a very large correlation length even at significant doping, which we verify using high-accuracy numerical simulations. This emphasizes the need for careful analysis, but also justifies the use of such states as a variational ansatz for critical systems. Finally, we give an example of a PEPS where non-symmetric perturbations do not open up a gap and the U(1) symmetry re-emerges.
