Topological defects inside domain walls

Bazeia, D.; Ribeiro, Ricardo Faria; Santos, Mariana Matías

doi:10.1103/physrevd.54.1852

Cited by 61 publications

(118 citation statements)

References 11 publications

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“…[15]). The Ginsburg-Landau equation (8) can be written as ψ t = −δE/δψ * , where E is the functional (2). Hence this functional satisfies…”

Section: Approaches To Stabilitymentioning

confidence: 99%

“…For example, the martensite phase of NiMnGa is a weakly anisotropic easy-plane ferromagnet with β ≈ 2 × 10 −6 Tm/A and M 0 ≈ 5 × 10 5 A/m [7]. Therefore, when subjected to a magnetic field H ≈ 1T, it will be described by equation (2).…”

Section: B Anisotropic Easy-plane Ferromagnet In External Fieldmentioning

confidence: 99%

“…This determines the constant E 0 that is added to the integrand in (2) to ensure the finiteness of the free energy: E 0 = A 4 /2. The Bloch and Ising walls have energies…”

Section: Bloch and Ising Wallsmentioning

confidence: 99%

“…It does allow one to reduce the order and find topological solitons of one-component models such as the sine-Gordon and φ 4 -theory, but these can be obtained with less effort simply by using an integrating factor. It is of more value for multicomponent [2] and lattice [3] systems, but all models that benefited from its use had to be specifically designed to admit such a decomposition.…”

Section: Introductionmentioning

confidence: 99%

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Stability of the Bloch wall via the Bogomolnyi decomposition in elliptic coordinates

Woodford

Barashenkov²

2008

J. Phys. A: Math. Theor.

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We consider the one-dimensional anisotropic XY model in the continuum limit. Stability analysis of its Bloch wall solution is hindered by the nondiagonality of the associated linearised operator and the hessian of energy. We circumvent this difficulty by showing that the energy admits a Bogomolnyi bound in elliptic coordinates and that the Bloch wall saturates it -that is, the Bloch wall renders the energy minimum. Our analysis provides a simple but nontrivial application of the BPS (Bogomolnyi -Prasad -Sommerfield) construction in one dimension, where its use is often believed to be limited to reproducing results obtainable by other means. * On leave of absence from Forschungszentrum Jülich.

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“…[15]). The Ginsburg-Landau equation (8) can be written as ψ t = −δE/δψ * , where E is the functional (2). Hence this functional satisfies…”

Section: Approaches To Stabilitymentioning

confidence: 99%

Section: B Anisotropic Easy-plane Ferromagnet In External Fieldmentioning

confidence: 99%

“…This determines the constant E 0 that is added to the integrand in (2) to ensure the finiteness of the free energy: E 0 = A 4 /2. The Bloch and Ising walls have energies…”

Section: Bloch and Ising Wallsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stability of the Bloch wall via the Bogomolnyi decomposition in elliptic coordinates

Woodford

Barashenkov²

2008

J. Phys. A: Math. Theor.

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“…(3.9) gives rise to another set of vacuum solutions [47] - [51], which connect smoothly the minima owing to the kink-like shape of Eq. (1.6) with M = √ ∆ 1 .…”

Section: Domain Walls: Massless Phasementioning

confidence: 99%

Domain wall generation by fermion self-interaction and light particles

Andrianov

Giacconi

et al. 2003

J. High Energy Phys.

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A possible explanation for the appearance of light fermions and Higgs bosons on the four-dimensional domain wall is proposed. The mechanism of light particle trapping is accounted for by a strong self-interaction of five-dimensional pre-quarks. We obtain the low-energy effective action which exhibits the invariance under the so called τ -symmetry. Then we find a set of vacuum solutions which break that symmetry and the five-dimensional translational invariance. One type of those vacuum solutions gives rise to the domain wall formation with consequent trapping of light massive fermions and Higgs-like bosons as well as massless sterile scalars, the so-called branons. The induced relations between lowenergy couplings for Yukawa and scalar field interactions allow to make certain predictions for light particle masses and couplings themselves, which might provide a signature of the higher dimensional origin of particle physics at future experiments. The manifest translational symmetry breaking, eventually due to some gravitational and/or matter fields in five dimensions, is effectively realized with the help of background scalar defects. As a result the branons acquire masses, whereas the ratio of Higgs and fermion (presumably top-quark) masses can be reduced towards the values compatible with the present-day phenomenology. Since the branons do not couple to fermions and the Higgs bosons do not decay into branons, the latter ones are essentially sterile and stable, what makes them the natural candidates for the dark matter in the Universe.

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De Sitter and double irregular domain walls

et al. 2006

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A new method to obtain thick domain wall solutions to the coupled Einstein scalar field system is presented. The procedure allows the construction of irregular walls from well known ones, such that the spacetime associated to them are physically different. As consequence of the approach, we obtain two irregular geometries corresponding to thick domain walls with $dS$ expansion and topological double kink embedded in $AdS$ spacetime. In particular, the double brane can be derived from a fake superpotential.Comment: 13 pages, 4 figures, added references, some equations correcte

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Topological defects inside domain walls

Cited by 61 publications

References 11 publications

Stability of the Bloch wall via the Bogomolnyi decomposition in elliptic coordinates

Stability of the Bloch wall via the Bogomolnyi decomposition in elliptic coordinates

Domain wall generation by fermion self-interaction and light particles

De Sitter and double irregular domain walls

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