Magnetic gap and magnetization curve for a mixed valent semiconductor

A variational approach

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5 Citations (Scopus)

Abstract

The ground state properties of the nondegenerate periodic Anderson model, which includes an external magnetic field, are studied variationally. We take f1-f2 valence mixing with two electrons per site, when the ground state is expected to be nonmetallic. A modified Stevens-Brandow-type trial wavefunction is used, which describes the condensate of a linear combination of singlet and triplet fd pair states. There are two variational parameters: the hybridization temperature, and a parameter to control the total magnetization. Up to a threshold field Ht, the singlet ground state prevails, while for H>Ht, the magnetization increases steeply with H. The magnetic gap derived from Ht is of the order of magnitude found by Jullien and Martin. The magnetization is dominated by the contribution of f-electrons which become gradually extracted from the singlet bound state (dehybridization). The valence depends on the magnetic field.

Original languageEnglish
Pages (from-to)197-214
Number of pages18
JournalZeitschrift für Physik B Condensed Matter
Volume53
Issue number3
DOIs
Publication statusPublished - 1983

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Ground state
Magnetization
Semiconductor materials
magnetization
ground state
curves
Magnetic fields
valence
Electrons
Wave functions
magnetic fields
condensates
electrons
thresholds
Temperature
temperature

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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title = "Magnetic gap and magnetization curve for a mixed valent semiconductor: A variational approach",
abstract = "The ground state properties of the nondegenerate periodic Anderson model, which includes an external magnetic field, are studied variationally. We take f1-f2 valence mixing with two electrons per site, when the ground state is expected to be nonmetallic. A modified Stevens-Brandow-type trial wavefunction is used, which describes the condensate of a linear combination of singlet and triplet fd pair states. There are two variational parameters: the hybridization temperature, and a parameter to control the total magnetization. Up to a threshold field Ht, the singlet ground state prevails, while for H>Ht, the magnetization increases steeply with H. The magnetic gap derived from Ht is of the order of magnitude found by Jullien and Martin. The magnetization is dominated by the contribution of f-electrons which become gradually extracted from the singlet bound state (dehybridization). The valence depends on the magnetic field.",
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T1 - Magnetic gap and magnetization curve for a mixed valent semiconductor

T2 - A variational approach

AU - Fazekas, P.

PY - 1983

Y1 - 1983

N2 - The ground state properties of the nondegenerate periodic Anderson model, which includes an external magnetic field, are studied variationally. We take f1-f2 valence mixing with two electrons per site, when the ground state is expected to be nonmetallic. A modified Stevens-Brandow-type trial wavefunction is used, which describes the condensate of a linear combination of singlet and triplet fd pair states. There are two variational parameters: the hybridization temperature, and a parameter to control the total magnetization. Up to a threshold field Ht, the singlet ground state prevails, while for H>Ht, the magnetization increases steeply with H. The magnetic gap derived from Ht is of the order of magnitude found by Jullien and Martin. The magnetization is dominated by the contribution of f-electrons which become gradually extracted from the singlet bound state (dehybridization). The valence depends on the magnetic field.

AB - The ground state properties of the nondegenerate periodic Anderson model, which includes an external magnetic field, are studied variationally. We take f1-f2 valence mixing with two electrons per site, when the ground state is expected to be nonmetallic. A modified Stevens-Brandow-type trial wavefunction is used, which describes the condensate of a linear combination of singlet and triplet fd pair states. There are two variational parameters: the hybridization temperature, and a parameter to control the total magnetization. Up to a threshold field Ht, the singlet ground state prevails, while for H>Ht, the magnetization increases steeply with H. The magnetic gap derived from Ht is of the order of magnitude found by Jullien and Martin. The magnetization is dominated by the contribution of f-electrons which become gradually extracted from the singlet bound state (dehybridization). The valence depends on the magnetic field.

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