Gutzwiller Renormalization Group

Abstract

We develop a variational scheme called "Gutzwiller renormalization group" (GRG), which enables us to calculate the ground state of Anderson impurity models (AIM) with arbitrary numerical precision. Our method can exploit the low-entanglement property of the ground state in combination with the framework of the Gutzwiller wavefunction, and suggests that the ground state of the AIM has a very simple structure, which can be represented very accurately in terms of a surprisingly small number of variational parameters. We perform benchmark calculations of the single-band AIM that validate our theory and indicate that the GRG might enable us to study complex systems beyond the reach of the other methods presently available and pave the way to interesting generalizations, e.g., to nonequilibrium transport in nanostructures.

5 pages, 3 figures

References in corpus (7)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• DMRG and periodic boundary conditions: a quantum information perspective
• TRIQS: A Toolbox for Research on Interacting Quantum Systems
• Gutzwiller description of non-magnetic Mott insulators: a dimer lattice model
• Matrix product state comparison of the numerical renormalization group and the variational formulation of the density matrix renormalization group
• Variational Monte Carlo simulations using tensor-product projected states
• Finite-Temperature Gutzwiller Approximation from Time-Dependent Variational Principle

Cited by in corpus (4)

• Emergent Bloch Excitations in Mott Matter
• Gutzwiller Hybrid Quantum-Classical Computing Approach for Correlated Materials
• Derivation of the Ghost Gutzwiller Approximation from Quantum Embedding principles: the Ghost Density Matrix Embedding Theory
• Extending the Gutzwiller approximation to intersite interactions