Fermionic Implementation of Projected Entangled Pair States Algorithm

Abstract

We present and implement an efficient variational method to simulate two-dimensional finite size fermionic quantum systems by fermionic projected entangled pair states. The approach differs from the original one due to the fact that there is no need for an extra string-bond for contracting the tensor network. The method is tested on a bi-linear fermionic model on a square lattice for sizes up to ten by ten where good relative accuracy is achieved. Qualitatively good results are also obtained for an interacting fermionic system.

As published in Phys. Rev. B

References in corpus (6)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Matrix product states represent ground states faithfully
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Cited by in corpus (7)

• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• Simulation of fermionic lattice models in two dimensions with Projected Entangled-Pair States: Next-nearest neighbor Hamiltonians
• Monte Carlo simulation with Tensor Network States
• Simulation of anyons with tensor network algorithms
• Time evolution of projected entangled pair states in the single layer picture
• Anyonic entanglement renormalization