Lanczos steps to improve variational wave functions

Abstract

Gutzwiller-projected fermionic states can be efficiently implemented within quantum Monte Carlo calculations to define extremely accurate variational wave functions for Heisenberg models on frustrated two-dimensional lattices, not only for the ground state but also for low-energy excitations. The application of few Lanczos steps on top of these states further improves their accuracy, allowing calculations on large clusters. In addition, by computing both the energy and its variance, it is possible to obtain reliable estimations of exact results. Here, we report the cases of the frustrated Heisenberg models on square and Kagome lattices.

7 pages, 6 figures. Conference proceeding paper for XXVI IUPAP Conference on Computational Physics, CCP2014

References in corpus (4)

• The density-matrix renormalization group in the age of matrix product states
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Valence-bond crystal in the extended kagome spin-1/2 quantum Heisenberg antiferromagnet: A variational Monte Carlo approach

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• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Persistence of the gapless spin liquid in the breathing kagome Heisenberg antiferromagnet
• Pinwheel valence-bond-crystal ground state of the spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the $shuriken$ lattice
• Quantum State Complexity in Computationally Tractable Quantum Circuits