2009/04/30 by Philippe Corboz, Glen Evenbly, Frank Verstraete +2 · 7 citations
Physics and Astronomy · #Ansatz #Boundary value problem #Density matrix renormalization group #Fermion #Lattice (music) #Mathematical physics #Periodic boundary conditions #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Statistical physics #Theoretical physics #cond-mat.str-el
paper · pdf · doi:10.1103/physreva.81.010303
published as Phys. Rev. A 81, 010303(R) (2010) · 4 pages, 6 figures, revised version
openalex publication_date 2010/01/21 · arxiv created 2010/03/04 · arxiv updated 2010/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose an algorithm to simulate interacting fermions on a two-dimensional lattice. The approach is an extension of the entanglement renormalization technique [Phys. Rev. Lett. 99, 220405 (2007)] and the related multiscale entanglement renormalization ansatz. Benchmark calculations for free and interacting fermions on lattices ranging from 6\ifmmode×\else\texttimes\fi6 to 162\ifmmode×\else\texttimes\fi162 sites with periodic boundary conditions confirm the validity of this proposal.