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Motion of domain walls and the dynamics of kinks in the magnetic Peierls potential  [PDF]
F. J. Buijnsters,A. Fasolino,M. I. Katsnelson
Physics , 2014, DOI: 10.1103/PhysRevLett.113.217202
Abstract: We study the dynamics of magnetic domain walls in the Peierls potential due to the discreteness of the crystal lattice. The propagation of a narrow domain wall (comparable to the lattice parameter) under the effect of a magnetic field proceeds through the formation of kinks in its profile. We predict that, despite the discreteness of the system, such kinks can behave like sine-Gordon solitons in thin films of materials such as yttrium iron garnets, and we derive general conditions for other materials. In our simulations we also observe long-lived breathers. We provide analytical expressions for the effective mass and limiting velocity of the kink in excellent agreement with our numerical results.
Multi-Domain Walls in Massive Supersymmetric Sigma-Models  [PDF]
Jerome P. Gauntlett,David Tong,Paul K. Townsend
Physics , 2000, DOI: 10.1103/PhysRevD.64.025010
Abstract: Massive maximally-supersymmetric sigma models are shown to exhibit multiple static kink-domain wall solutions that preserve 1/2 of the supersymmetry. The kink moduli space admits a natural Kahler metric. We examine in some detail the case when the target of the sigma model is given by the co-tangent bundle of CP^n equipped with the Calabi metric, and we show that there exist BPS solutions corresponding to n kinks at arbitrary separation. We also describe how 1/4-BPS charged and intersecting domain walls are described in the low-energy dynamics on the kink moduli space. We comment on the similarity of these results to monopole dynamics.
Supersymmetric Intersecting Domain Walls in Massive Hyper-Kahler Sigma Models  [PDF]
Jerome P. Gauntlett,David Tong,Paul K. Townsend
Physics , 2000, DOI: 10.1103/PhysRevD.63.085001
Abstract: The general scalar potential of D-dimensional massive sigma-models with eight supersymmetries is found for $D=3,4$. These sigma models typically admit 1/2 supersymmetric domain wall solutions and we find, for a particular hyper-K\"ahler target, exact 1/4 supersymmetric static solutions representing a non-trivial intersection of two domain walls. We also show that the intersecting domain walls can carry Noether charge while preserving 1/4 supersymmetry. We briefly discuss an application to the D1-D5 brane system.
Stability of Kink Defects in a Deformed O(3) Linear Sigma Model  [PDF]
A. Alonso Izquierdo,M. A. Gonzalez Leon,J. Mateos Guilarte
Mathematics , 2002, DOI: 10.1088/0951-7715/15/4/308
Abstract: We identify the kinks of a deformed O(3) linear Sigma model as the solutions of a set of first-order systems of equations; the above model is a generalization of the MSTB model with a three-component scalar field. Taking into account certain kink energy sum rules we show that the variety of kinks has the structure of a moduli space that can be compactified in a fairly natural way. The generic kinks, however, are unstable and Morse Theory provides the framework for the analysis of kink stability.
Gravitational torsion kinks and thick domain walls  [PDF]
L. C. Garcia de Andrade
Physics , 1998,
Abstract: The dynamics of a gravitational torsion kink as a plane symmetric thick domain wall solution of Einstein-Cartan (EC) field equation is given. The spin-torsion energy has to be as high as the gravitational kink potential otherwise torsion will not contribute as an appreciable effect to domain wall.Cartan torsion also contributes to the orthonal pressure of the domain wall.
Kinks and domain walls in models for real scalar fields  [PDF]
D. Bazeia,A. S. Inacio,L. Losano
Physics , 2001,
Abstract: We investigate several models described by real scalar fields, searching for topological defects, and investigating their linear stability. We also find bosonic zero modes and examine the thermal corrections at the one-loop level. The classical investigations are of interest to high energy physics and applications in condensed matter, in particular to spatially extended systems where fronts and interfaces separating different phase states may appear. The thermal investigations show that the finite temperature corrections that appear in a specific model induce a second-order phase transition in the system, although the thermal effects do not suffice to fully restore the symmetry at high temperature.
Electron-phonon coupling-induced kinks in the sigma band of graphene  [PDF]
Federico Mazzola,Justin W. Wells,Rositza Yakimova,Soren Ulstrup,Jill A. Miwa,Richard Balog,Marco Bianchi,Mats Leandersson,Johan Adell,Philip Hofmann,T. Balasubramanian
Physics , 2013,
Abstract: Angle-resolved photoemission spectroscopy reveals pronounced kinks in the dispersion of the sigma band of graphene. Such kinks are usually caused by the combination of a strong electron-boson interaction and the cut-off in the Fermi-Dirac distribution. They are therefore not expected for the $\sigma$ band of graphene that has a binding energy of more than 3.5 eV. We argue that the observed kinks are indeed caused by the electron-phonon interaction, but the role of the Fermi-Dirac distribution cutoff is assumed by a cut-off in the density of $\sigma$ states. The existence of the effect suggests a very weak coupling of holes in the $\sigma$ band not only to the $\pi$ electrons of graphene but also to the substrate electronic states. This is confirmed by the presence of such kinks for graphene on several different substrates that all show a strong coupling constant of lambda=1.
On Monopoles and Domain Walls  [PDF]
Amihay Hanany,David Tong
Mathematics , 2005, DOI: 10.1007/s00220-006-0056-7
Abstract: The purpose of this paper is to describe a relationship between maximally supersymmetric domain walls and magnetic monopoles. We show that the moduli space of domain walls in non-abelian gauge theories with N flavors is isomorphic to a complex, middle dimensional, submanifold of the moduli space of U(N) magnetic monopoles. This submanifold is defined by the fixed point set of a circle action rotating the monopoles in the plane. To derive this result we present a D-brane construction of domain walls, yielding a description of their dynamics in terms of truncated Nahm equations. The physical explanation for the relationship lies in the fact that domain walls, in the guise of kinks on a vortex string, correspond to magnetic monopoles confined by the Meissner effect.
Kinks, chains, and loop groups in the CP^n sigma models  [PDF]
Derek Harland
Mathematics , 2009, DOI: 10.1063/1.3266172
Abstract: We consider topological solitons in the CP^n sigma models in two space dimensions. In particular, we study "kinks", which are independent of one coordinate up to a rotation of the target space, and "chains", which are periodic in one coordinate up to a rotation of the target space. Kinks and chains both exhibit constituents, similar to monopoles and calorons in SU(n) Yang-Mills-Higgs and Yang-Mills theories. We examine the constituent structure using Lie algebras.
Kinks Inside Supersymmetric Domain Ribbons  [PDF]
Jose D. Edelstein,Marta L. Trobo,Francisco A. Brito,Dionisio Bazeia
Physics , 1997, DOI: 10.1103/PhysRevD.57.7561
Abstract: We study a variety of supersymmetric systems describing sixth-order interactions between two coupled real superfields in 2+1 dimensions. We search for BPS domain ribbon solutions describing minimum energy static field configurations that break one half of the supersymmetries. We then use the supersymmetric system to investigate the behavior of mesons and fermions in the background of the defects. In particular, we show that certain BPS domain ribbons admit internal structure in the form of bosonic kinks and fermionic condensate, for a given range of the two parameters that completely identify the class of systems.
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