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Exact solutions for Nmagnon scattering
 JHEP
, 2008
"... Abstract: Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R × S 3. The solution can be written in Hirota form and in terms of det ..."
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Cited by 4 (3 self)
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Abstract: Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R × S 3. The solution can be written in Hirota form and in terms
Multi–Magnon Scattering in the Ferromagnetic XXX–Model with Inhomogeneities
, 1997
"... We determine the transition amplitude for multi–magnon scattering induced through an inhomogeneous distribution of the coupling constant in the ferromagnetic XXX–model. The two and three particle amplitudes are explicitely calculated at small momenta. This suggests a rather plausible conjecture also ..."
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We determine the transition amplitude for multi–magnon scattering induced through an inhomogeneous distribution of the coupling constant in the ferromagnetic XXX–model. The two and three particle amplitudes are explicitely calculated at small momenta. This suggests a rather plausible conjecture
Internal Modes and Magnon Scattering on Topological Solitons
, 2001
"... We study the magnon modes in the presence of a topological soliton in a 2d Heisenberg easy–axis ferromagnet. The problem of magnon scattering on the soliton with arbitrary relation between the soliton radius R and the “magnetic length ” ∆0 is investigated for partial modes with different values of t ..."
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We study the magnon modes in the presence of a topological soliton in a 2d Heisenberg easy–axis ferromagnet. The problem of magnon scattering on the soliton with arbitrary relation between the soliton radius R and the “magnetic length ” ∆0 is investigated for partial modes with different values
4 Reports on Experimental Results 4.6 Fourmagnon scattering in spinwave microconduits
"... The transport of spin information is one of the great challenges in condensed matter physics and of fundamental importance for the development of spintronic devices. Due to the rather high spin relaxation rates in metals, a pure diffusive transportation of spin angular momentum cannot fulfill the ne ..."
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The transport of spin information is one of the great challenges in condensed matter physics and of fundamental importance for the development of spintronic devices. Due to the rather high spin relaxation rates in metals, a pure diffusive transportation of spin angular momentum cannot fulfill the needs of future applications. The information encoded in the spin polarization is typically lost in metals within distances of less than one micrometer at room temperature. The recent discovery that a spin current can be transmitted over macroscopic distances even through a ferrimagnetic insulator utilizing spin waves [1] has put great attention to the transport properties of spin waves. But there are plenty of obstacles that need to be overcome for utilizing spin waves as a carrier of information. In conventional ferromagnetic materials such as Ni81Fe19, the spinwave lifetime is of the order of a few nanoseconds and the group velocity, which corresponds to the speed of information transport, does not exceed a few micrometer per nanoseconds for reasonable geometries. As a result, the operating distance of a spinwave driven information transport is limited to a few micrometer. This is still above the spin diffusion length but, obviously, a further increase of the operating distance would be beneficial for future applications. Possible solutions for this problem are either new mechanisms for a more efficient excitation of
Interacting finitesize magnons
 J. Phys. A41
"... We explicitly construct a large class of finitevolume twomagnon string solutions moving on × S2. In particular, by making use of the relationship between the O(3) sigma model and sineGordon theory we are able to find solutions corresponding to the periodic analogues of magnon scattering and breat ..."
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Cited by 14 (0 self)
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We explicitly construct a large class of finitevolume twomagnon string solutions moving on × S2. In particular, by making use of the relationship between the O(3) sigma model and sineGordon theory we are able to find solutions corresponding to the periodic analogues of magnon scattering
Fat magnon
 JHEP
, 2007
"... We consider a Dbrane type state which shares the characteristic of the recently found giant magnon of Hofman and Maldacena. More specifically we find a bound state of giant graviton (D3brane) and giant magnon (Fstring), which has exactly the same anomalous dimension as that of the giant magnon. I ..."
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Cited by 11 (0 self)
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We consider a Dbrane type state which shares the characteristic of the recently found giant magnon of Hofman and Maldacena. More specifically we find a bound state of giant graviton (D3brane) and giant magnon (Fstring), which has exactly the same anomalous dimension as that of the giant magnon
Reflecting magnons
, 708
"... We study the worldsheet reflection matrix of a string attached to a Dbrane in AdS5 × S 5. The Dbrane corresponds to a maximal giant graviton and it wraps an S 3 inside S5. In the gauge theory, the open string is described by a spin chain with boundaries. We study an open string with a large SO(6) ..."
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We study the worldsheet reflection matrix of a string attached to a Dbrane in AdS5 × S 5. The Dbrane corresponds to a maximal giant graviton and it wraps an S 3 inside S5. In the gauge theory, the open string is described by a spin chain with boundaries. We study an open string with a large SO(6) charge, which allows us to focus on one boundary at a time and to define an asymptotic boundary reflection matrix. We consider two cases corresponding to two possible relative orientations for the charges of the giant graviton and the open string. Using the symmetries of the problem we compute the boundary reflection matrix up to a phase. These matrices obey the boundary Yang Baxter equation. A crossing equation is derived for the overall phase. We perform weak coupling computations up to two loops and obtain results that are consistent with integrability. Finally, we determine the phase factor at strong coupling using classical solutions.
Results 1  10
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2,941