Projected d-wave superconducting state: a fermionic projected entangled pair state study

Abstract

We investigate the physics of projected d-wave pairing states using their fermionic projected entangled pair state (fPEPS) representation. First, we approximate a d-wave Bardeen-Cooper-Schrieffer state using the Gaussian fPEPS. Next, we translate the resulting state into fPEPS tensors and implement the Gutzwiller projection which removes double occupancy by modifying the local tensor elements. The tensor network representation of the projected d-wave pairing state allows us to evaluate physical quantities in the thermodynamic limit without employing the Gutzwiller approximation. Despite having very few variational parameters, such physically motivated tensor network states are shown to exhibit competitive energies for the doped t-J model. We expect that such construction offers useful initial states and guidance for variational tensor network calculations.

9 pages, 7 figures

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Cited by in corpus (6)

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• Efficient conversion from fermionic Gaussian states to matrix product states
• Finite-Entanglement Scaling of 2D Metals
• A Promising Method for Strongly Correlated Electrons in Two Dimensions: Gutzwiller-Guided Density Matrix Renormalization Group
• Constructive Fermionic Matrix Product States for Projected Fermi Sea
• Stacked tree construction for free-fermion projected entangled pair states