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.

arXiv comment9 pages, 7 figures

References in corpus (52)

• Criticality, the area law, and the computational power of PEPS
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Variational optimization algorithms for uniform matrix product states
• Fermionic Projected Entangled Pair States
• Projected Wavefunctions and High Temperature Superconductivity
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Corner Transfer Matrix Algorithm for Classical Renormalization Group
• Variational description of Mott insulators
• Efficient numerical computation of the Pfaffian for dense and banded skew-symmetric matrices
• Fermionic multi-scale entanglement renormalization ansatz
• Resonating valence bond states in the PEPS formalism
• Phase Diagram and Pairing Symmetry of the Two-Dimensional t-J Model by a Variation Theory
• Topological and Entanglement Properties of Resonating Valence Bond wavefunctions
• Constructing gapless spin liquid state for the spin-1/2 J1-J2 Heisenberg model on a square lattice
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Projected entangled-pair states can describe chiral topological states
• Gossamer Superconductor, Mott Insulator, and Resonating Valence Bond State in Correlated Electron Systems
• mVMC - Open-source software for many-variable variational Monte Carlo method
• Symmetry restoration in Hartree-Fock-Bogoliubov based theories
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Theory of Asymmetric Tunneling in the cuprate superconductors
• Period 4 stripe in the extended two-dimensional Hubbard model
• Compression of Correlation Matrices and an Efficient Method for Forming Matrix Product States of Fermionic Gaussian States
• Stripe and superconducting order competing in the Hubbard model on a square lattice studied by a combined variational Monte Carlo and tensor network method
• Chiral projected entangled-pair state with topological order
• Symmetries and boundary theories for chiral Projected Entangled Pair States
• Antiferromagnetism and phase separation in the t-J model at low doping: a variational study
• Tensor network representations of parton wave functions
• Finite compressibility in the low-doping region of the two-dimensional $t-J$ model
• Finite and Infinite Matrix Product States for Gutzwiller Projected Mean-Field Wavefunctions
• Magnetic Instability in Strongly Correlated Superconductors
• RVB superconductors with fermionic projected entangled pair states
• Efficient tensor network representation for Gutzwiller projected states of paired fermions
• Density matrix renormalization group boosted by Gutzwiller projected wave functions
• Particle number renormalization in almost half filled Mott Hubbard superconductors
• Matrix product states for Hartree-Fock-Bogoliubov wave functions
• Tensor Networks Can Resolve Fermi Surfaces
• Symmetry-protected non-Fermi liquids, Kagome spin liquids, and the chiral Kondo lattice model
• iPEPS study of spin symmetry in the doped $t$-$J$ model
• On the generalization of the exponential basis for tensor network representations of long-range interactions in two and three dimensions
• U(1)-symmetric Gaussian fermionic projected entangled paired states and their Gutzwiller projection
• Matrix Product State representation for Slater Determinants and Configuration Interaction States
• Fermionic tensor networks for higher order topological insulators from charge pumping
• Grand-canonical variational approach for the t-J model

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