Gutzwiller renormalization group

Lanatà, Nicola; Yao, Yong -Xin; Deng, Xiaoyu; Wang, Cai -Zhuang; Ho, Kai -Ming; Kotliar, Gabriel

doi:10.1103/PhysRevB.93.045103

Title: Gutzwiller renormalization group

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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. Furthermore, 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.

Authors:

Lanatà, Nicola ^[1]; Yao, Yong -Xin ^[2]; Deng, Xiaoyu ^[1]; Wang, Cai -Zhuang ^[2]; Ho, Kai -Ming ^[2]; Kotliar, Gabriel ^[1]

Rutgers Univ., Piscataway, NJ (United States)
Iowa State Univ., Ames, IA (United States)

Publication Date:: Wed Jan 06 00:00:00 EST 2016

Research Org.:: Ames Lab., Ames, IA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1234530

Alternate Identifier(s):: OSTI ID: 1234165

Report Number(s):: IS-J-8803
Journal ID: ISSN 2469-9950

Grant/Contract Number:: FG02-99ER45761; AC02-07CH11358

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 93; Journal Issue: 4; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats


                    Lanatà, Nicola, Yao, Yong -Xin, Deng, Xiaoyu, Wang, Cai -Zhuang, Ho, Kai -Ming, and Kotliar, Gabriel. Gutzwiller renormalization group.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevB.93.045103.

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                    Lanatà, Nicola, Yao, Yong -Xin, Deng, Xiaoyu, Wang, Cai -Zhuang, Ho, Kai -Ming, & Kotliar, Gabriel. Gutzwiller renormalization group.  United States.  https://doi.org/10.1103/PhysRevB.93.045103

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                    Lanatà, Nicola, Yao, Yong -Xin, Deng, Xiaoyu, Wang, Cai -Zhuang, Ho, Kai -Ming, and Kotliar, Gabriel. Wed .  
"Gutzwiller renormalization group".  United States.  https://doi.org/10.1103/PhysRevB.93.045103.  https://www.osti.gov/servlets/purl/1234530.

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@article{osti_1234530,

  title        = {Gutzwiller renormalization group},

  author       = {Lanatà, Nicola and Yao, Yong -Xin and Deng, Xiaoyu and Wang, Cai -Zhuang and Ho, Kai -Ming and Kotliar, Gabriel},

  abstractNote = {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. Furthermore, 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.},

  doi          = {10.1103/PhysRevB.93.045103},

  journal      = {Physical Review B},

  number       = 4,

  volume       = 93,

  place        = {United States},

  year         = {Wed Jan 06 00:00:00 EST 2016},

  month        = {Wed Jan 06 00:00:00 EST 2016}

}

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