One-Dimensional Boson Fields in the Critical Range of EuS and EuO

• Authors: U. Köbler
• Languages of publication: EN

Abstracts

EN

Following the principles of renormalization group theory the typical experimental indications are discussed that in ordered magnets with a three-dimensional spin the dynamics of the spins is controlled by a boson guiding field instead by exchange interactions to the neighboring spins. The spins are, so to say, sensors to probe the dynamics of the relevant boson field. It is evident that these findings are not complementary but fundamentally different from atomistic concepts. The bosons are essentially magnetic dipole radiation emitted upon precession of the ordered moments. Within the individual domain the one-dimensional field has the character of a laser field. The field aligns all spins along its axis. In order that in cubic magnets three-dimensional dynamic symmetry can result a vector average over all one-dimensional boson fields of the individual domains is necessary. It is argued that this averaging process does not work in the critical temperature range of cubic EuS and EuO. As a result, the critical behavior of EuS and EuO is that of the one-dimensional boson field of the isolated domain and agrees with the critical behavior of the one-dimensional antiferromagnet MnF₂. For the magnets with 1D boson field and half-integer spin it is found that the rational exponents β = 1/3, γ = 4/3 and ν = 2/3 give an excellent account of the mean exponent values over the most accurately known experimental data. These exponents obey the scaling relation 2β = 3ν - γ .

Keywords

EN

75.10.-b; 75.30.Ds

Discipline

• 75.30.Ds: Spin waves(for spin-wave resonance, see 76.50.+g)
• 75.10.-b: General theory and models of magnetic ordering(see also 05.50.+q Lattice theory and statistics)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 3
• Pages: 398-407

Dates

published

2015-09

received

2015-05-13

(unknown)

2015-07-14

Contributors

author

U. Köbler

• Research Centre Jülich, Institute PGI, 52425 Jülich, Germany

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Identifiers

DOI

10.12693/APhysPolA.128.398