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首页> 外文期刊>Physical review >Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states
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Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states

机译：费米子投影纠缠对态在二维空间中强相关费米子的模拟

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We explain how to implement, in the context of projected entangled-pair states (PEPSs), the general procedure of fermionization of a tensor network introduced in P. Corboz and G. Vidal, Phys. Rev. B 80, 165129 (2009). The resulting fermionic PEPS, similar to previous proposals, can be used to study the ground state of interacting fermions on a two-dimensional lattice. As in the bosonic case, the cost of simulations depends on the amount of entanglement in the ground state and not directly on the strength of interactions. The present formulation of fermionic PEPS leads to a straightforward numerical implementation that allowed us to recycle much of the code for bosonic PEPS. We demonstrate that fermionic PEPS are a useful variational ansatz for interacting fermion systems by computing approximations to the ground state of several models on an infinite lattice. For a model of interacting spinless fermions, ground state energies lower than Hartree-Fock results are obtained, shifting the boundary between the metal and charge-density wave phases. For the t-J model, energies comparable with those of a specialized Gutzwiller-projected ansatz are also obtained.
机译：我们解释了如何在投影纠缠对状态（PEPS）的背景下，实现P. Corboz和G. Vidal，Phys引入的张量网络的fermionization的一般过程。版本B 80，165129（2009）。类似于先前的建议，所产生的铁离子PEPS可用于研究二维晶格上相互作用的铁离子的基态。与在玻色子中一样，模拟的成本取决于基态的缠结量，而不直接取决于相互作用的强度。当前的铁离子PEPS公式导致了直接的数值实现，这使我们可以回收许多用于Bosonic PEPS的代码。我们通过计算无限格子上多个模型的基态近似值，证明了铁离子PEPS是相互作用的费米子系统的有用变体ansatz。对于相互作用的无旋转费米子的模型，获得的基态能量低于Hartree-Fock结果，从而改变了金属和电荷密度波相之间的边界。对于t-J模型，还可以获得与专门的Gutzwiller投影ansatz相当的能量。

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