Gutzwiller renormalization group

Nicola Lanatà, Yong-Xin Yao, Xiaoyu Deng, Cai-Zhuang Wang, Kai-Ming Ho, and Gabriel Kotliar
Phys. Rev. B 93, 045103 – Published 6 January 2016
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Abstract

We develop a variational scheme called the “Gutzwiller renormalization group” (GRG), which enables us to calculate the ground state of Anderson impurity models (AIM) with arbitrary numerical precision. Our method exploits the low-entanglement property of the ground state of local Hamiltonians in combination with the framework of the Gutzwiller wave function and indicates 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 suggest 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.

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  • Received 19 September 2015

DOI:https://doi.org/10.1103/PhysRevB.93.045103

©2016 American Physical Society

Authors & Affiliations

Nicola Lanatà1, Yong-Xin Yao2, Xiaoyu Deng3, Cai-Zhuang Wang2, Kai-Ming Ho2, and Gabriel Kotliar3

  • 1Department of Physics and National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32306, USA
  • 2Ames Laboratory–United States Department of Energy and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
  • 3Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08856-8019, USA

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Issue

Vol. 93, Iss. 4 — 15 January 2016

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