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Journal ArticleDOI

Magnetic Domains

TL;DR: In this paper, a Nahm transform has been discovered for magnetic bags, which are conjectured to arise in the large n limit of magnetic monopoles with charge n, and they are interpreted using string theory and presented some partial proofs of this conjecture.
Abstract: Recently a Nahm transform has been discovered for magnetic bags, which are conjectured to arise in the large n limit of magnetic monopoles with charge n We interpret these ideas using string theory and present some partial proofs of this conjecture We then extend the notion of bags and their Nahm transform to higher gauge theories and arbitrary domains Bags in four dimensions conjecturally describe the large n limit of n self-dual strings We show that the corresponding Basu-Harvey equation is the large n limit of an equation describing n M2-branes, and that it has a natural interpretation in loop space We also formulate our Nahm equations using strong homotopy Lie algebras
Citations
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Journal ArticleDOI
01 Dec 2012-EPL
TL;DR: In this paper, the authors explore a new type of domain wall structure in ultrathin films with perpendicular anisotropy, that is influenced by the Dzyaloshinskii-Moriya interaction due to the adjacent layers.
Abstract: We explore a new type of domain wall structure in ultrathin films with perpendicular anisotropy, that is influenced by the Dzyaloshinskii-Moriya interaction due to the adjacent layers. This study is performed by numerical and analytical micromagnetics. We show that these walls can behave like Neel walls with very high stability, moving in stationary conditions at large velocities under large fields. We discuss the relevance of such walls, that we propose to call Dzyaloshinskii domain walls, for current-driven domain wall motion under the spin Hall effect.

983 citations

Journal ArticleDOI
TL;DR: In this paper, the authors acknowledge support from the EU FET Open RIA Grant No 766566, the Ministry of Education of the Czech Republic Grant No LM2015087 and LNSM-LNSpin.
Abstract: A M was supported by the King Abdullah University of Science and Technology (KAUST) T J acknowledges support from the EU FET Open RIA Grant No 766566, the Ministry of Education of the Czech Republic Grant No LM2015087 and LNSM-LNSpin, and the Grant Agency of the Czech Republic Grant No 19-28375X J S acknowledges the Alexander von Humboldt Foundation, EU FET Open Grant No 766566, EU ERC Synergy Grant No 610115, and the Transregional Collaborative Research Center (SFB/TRR) 173 SPIN+X K G and P G acknowledge stimulating discussions with C O Avci and financial support by the Swiss National Science Foundation (Grants No 200021-153404 and No 200020-172775) and the European Commission under the Seventh Framework Program (spOt project, Grant No 318144) A T acknowledges support by the Agence Nationale de la Recherche, Project No ANR-17-CE24-0025 (TopSky) J Ž acknowledges the Grant Agency of the Czech Republic Grant No 19-18623Y and support from the Institute of Physics of the Czech Academy of Sciences and the Max Planck Society through the Max Planck Partner Group programme

863 citations

Journal ArticleDOI
TL;DR: Spintronics is one of the emerging research fields in nanotechnology and has been growing very rapidly as mentioned in this paper, which has led to the discovery of giant magnetoresistance in 1988, which utilized spin-polarized electron transport across a non-magnetic metallic layer.
Abstract: Spintronics is one of the emerging research fields in nanotechnology and has been growing very rapidly. Studies of spintronics were started after the discovery of giant magnetoresistance in 1988, which utilized spin-polarized electron transport across a non-magnetic metallic layer. Within 10 years, this discovery had been implemented into hard disk drives, the most common storage media, followed by recognition through the award of the Nobel Prize for Physics 19 years later. We have never experienced such fast development in any scientific field. Spintronics research is now moving into second-generation spin dynamics and beyond. In this review, we first examine the historical advances in spintronics together with the background physics, and then describe major device applications.

405 citations

Journal ArticleDOI
TL;DR: It is shown that a pair of coupled skyrmions of opposite chiralities can be stabilized in a symmetric magnetic bilayer system by combining Dzyaloshinskii–Moriya interaction (DMI) and dipolar coupling effects and this results set the ground for emerging spintronic technologies where issues concerningSkyrmion stability, nucleation and propagation are paramount.
Abstract: The creation of practical devices based on magnetic skyrmions depends on the development of methods to create and control stable individual skyrmions. Here, the authors present a bilayer device that uses dipolar interactions to stabilize skyrmions that can be manipulated…

303 citations

References
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Journal ArticleDOI
TL;DR: In this paper, the authors constructed three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(n) and SU(N), SU(2) × SU (2) which have explicit = 6 superconformal symmetry.
Abstract: We construct three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(N) and SU(N) × SU(N) which have explicit = 6 superconformal symmetry. Using brane constructions we argue that the U(N) × U(N) theory at level k describes the low energy limit of N M2-branes probing a C4/Zk singularity. At large N the theory is then dual to M-theory on AdS4 × S7/Zk. The theory also has a 't Hooft limit (of large N with a fixed ratio N/k) which is dual to type IIA string theory on AdS4 × CP3. For k = 1 the theory is conjectured to describe N M2-branes in flat space, although our construction realizes explicitly only six of the eight supersymmetries. We give some evidence for this conjecture, which is similar to the evidence for mirror symmetry in d = 3 gauge theories. When the gauge group is SU(2) × SU(2) our theory has extra symmetries and becomes identical to the Bagger-Lambert theory.

3,091 citations


"Magnetic Domains" refers methods in this paper

  • ...This equation is a BPS equation of the ABJM model [46, 47] just as the Basu-Harvey equation (4....

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Book
01 Jan 1995
TL;DR: In this article, the authors present a survey of the history of classical and modern manifold geometry, from classical to modern, including linear and almost complex structures, and the Arnold conjecture of the group of symplectomorphisms.
Abstract: Introduction I. FOUNDATIONS 1. From classical to modern 2. Linear symplectic geometry 3. Symplectic manifolds 4. Almost complex structures II. SYMPLECTIC MANIFOLDS 5. Symplectic group actions 6. Symplectic fibrations 7. Constructing symplectic manifolds III. SYMPLECTOMORPHISMS 8. Area-preserving diffeomorphisms 9. Generating functions 10. The group of symplectomorphisms IV. SYMPLECTIC INVARIANTS 11. The Arnold conjecture 12. Symplectic capacities 13. New directions

1,928 citations


Additional excerpts

  • ...Now f and ω have the same volume type, so the non-compact version of Moser’s theorem [30] implies that there is a diffeomorphism w : M → Σφ0 and a constant q ∈ R such that w∗i∗f = q 4πω (see also [32])....

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Journal ArticleDOI
TL;DR: In this article, a supersymmetric field theory model for multiple M2-branes based on an algebra with a totally antisymmetric triple product is proposed. But the field is not dynamical.
Abstract: In previous work we proposed a field theory model for multiple M2-branes based on an algebra with a totally antisymmetric triple product. In this paper we gauge a symmetry that arises from the algebra's triple product. We then construct a supersymmetric theory with no free parameters that is consistent with all the continuous symmetries expected of a multiple M2-brane theory: 16 supersymmetries, conformal invariance, and an SO(8) R-symmetry that acts on the eight transverse scalars. The gauge field is not dynamical. The result is a new type of maximally supersymmetric gauge theory in three dimensions.

1,613 citations


"Magnetic Domains" refers background in this paper

  • ...5) is a BPS equation of the BLG model [48, 49]....

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Journal ArticleDOI
06 Oct 1999
TL;DR: In this paper, the authors extend the usual action for a Dp-brane to the case of N coincident Dpbranes where the world-volume theory involves a U(N) gauge theory.
Abstract: We extend the usual world-volume action for a Dp-brane to the case of N coincident Dp-branes where the world-volume theory involves a U(N) gauge theory. The guiding principle in our construction is that the action should be consistent with the familiar rules of T-duality. The resulting action involves a variety of potential terms, i.e., nonderivative interactions, for the nonabelian scalar fields. This action also shows that Dp-branes naturally couple to RR potentials of all form degrees, including both larger and smaller than p+1. We consider the dynamics resulting from this action for Dp-branes moving in nontrivial background fields, and illustrate how the Dp-branes are ``polarized'' by external fields. In a simple example, we show that a system of D0-branes in an external RR four-form field expands into a noncommutative two-sphere, which is interpreted as the formation of a spherical D2-D0 bound state.

1,543 citations

Journal ArticleDOI
TL;DR: In this article, the Coulomb branch of certain three-dimensional supersymmetric gauge theories and the moduli spaces of magnetic monopoles are explained via string theory, and new phase transitions in three dimensions as well as new infrared fixed points and even new coupling constants are predicted from the string theory construction.

1,482 citations


"Magnetic Domains" refers background or methods in this paper

  • ...If we insert a D5-brane at s = 0 parallel to the NS5-branes and such that the D3-branes can intersect it, the strings connecting the D3- and D5-branes yield an additional fundamental hypermultiplet [34]....

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  • ...To see this, let us T-dualize along T 212, and we arrive at the configuration 0 1 2 3 4 5 6 . . . D5 × × × 0 × × ` NS5 × × × ` × × 0 (1,1) × × × ` × × ` NS5 D5 (1, 1)-brane - 6 x3 x6 The NS5-brane ends at x3 = 0 and turns into a (p, q)-fivebrane with p = q = 1 which extends diagonally in R236 as indicated by the symbol `....

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  • ...The alternative is to insert an NS5-brane....

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  • ...This configuration is in fact related to a bound state between D5- and NS5-branes....

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  • ...To compare with Chalmers-Hanany-Witten configurations [33, 34], we T-dualize along the x4- and x5-directions, S-dualize and obtain 0 1 2 3 4 5 6 . . . D3 × × × ` NS5 × × × × × × si (3.2) Dirac monopoles correspond to a single N = 1 NS5-brane at e.g. s = 0....

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