Tensor Networks Can Resolve Fermi Surfaces.
Tensor Networks Can Resolve Fermi Surfaces.
复制标题
张量网络可以解析费米曲面。
DOI：
10.1103/physrevlett.129.206401
复制
发表时间：
2020
影响因子：
8.6
通讯作者：
J. Haegeman
中科院分区：
文献类型：
--
作者：
Quinten Mortier;N. Schuch;F. Verstraete;J. Haegeman
我们证明了投射的纠缠对态能够表示临界费米子系统的基态，在二维晶格上显示1d和0d费米面，并具有有效的键维缩放。将费米子投射纠缠对态的高斯限制的有限尺寸结果外推到热力学极限，发现能量精度作为键维的函数以幂律的形式提高，说明可以通过有控制的方式增加键维来获得任意精度。在此过程中，必须仔细选择边界条件和系统大小，以避免植根于其非平凡拓扑结构的Ansatz的非分析性。
We demonstrate that projected entangled-pair states are able to represent ground states of critical, fermionic systems exhibiting both 1d and 0d Fermi surfaces on a 2D lattice with an efficient scaling of the bond dimension. Extrapolating finite size results for the Gaussian restriction of fermionic projected entangled-pair states to the thermodynamic limit, the energy precision as a function of the bond dimension is found to improve as a power law, illustrating that an arbitrary precision can be obtained by increasing the bond dimension in a controlled manner. In this process, boundary conditions and system sizes have to be chosen carefully so that nonanalyticities of the Ansatz, rooted in its nontrivial topology, are avoided.