2021
DOI: 10.1007/jhep12(2021)163
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Exact ground states and domain walls in one dimensional chiral magnets

Abstract: We determine exactly the phase structure of a chiral magnet in one spatial dimension with the Dzyaloshinskii-Moriya (DM) interaction and a potential that is a function of the third component of the magnetization vector, n3, with a Zeeman (linear with the coefficient B) term and an anisotropy (quadratic with the coefficient A) term, constrained so that 2A ≤ |B|. For large values of potential parameters A and B, the system is in one of the ferromagnetic phases, whereas it is in the spiral phase for small values.… Show more

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Cited by 12 publications
(5 citation statements)
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“…Nevertheless, we can ask when the energy per unit length of the short and long domain walls changes sign, as well as the sum of the two. This was calculated explicitly in [28]. When both are positive, their combined energy is certainly positive, and instability by extension of the domain wall might seem unlikely (however, we see below that this assumption is incorrect).…”
Section: Skyrmions In the Symmetry-breaking Phase Of The Chiral Magnetmentioning
confidence: 94%
See 1 more Smart Citation
“…Nevertheless, we can ask when the energy per unit length of the short and long domain walls changes sign, as well as the sum of the two. This was calculated explicitly in [28]. When both are positive, their combined energy is certainly positive, and instability by extension of the domain wall might seem unlikely (however, we see below that this assumption is incorrect).…”
Section: Skyrmions In the Symmetry-breaking Phase Of The Chiral Magnetmentioning
confidence: 94%
“…Figure 2: Comparison of the different analytical methods of estimating soliton elliptical instability within the axisymmetric chiral magnet, including both symmetry-retaining and symmetrybreaking phase. Within the symmetry-breaking phase there are two possible domain walls, short and long, whose energy per unit length is calculated in [28]. This gives rise to three boundaries as the sign of different domain wall energies change.…”
Section: Skyrmions In the Symmetry-breaking Phase Of The Chiral Magnetmentioning
confidence: 99%
“…JHEP08(2022)305 The second and third terms have different periodicities 2π and π with respect to φ 0 , and the above equation is the so-called double sine-Gordon equations in the literature [56,57]. However, solutions (η-CS and η-CSL) with φ 3 = 0 are not necessarily stable because the pions can be tachyonic for some parameter regions, as explained in the main text.…”
Section: A Some Formulae For Chiral Lagrangian Under Rotationmentioning
confidence: 99%
“…Before shedding light on the different topological sectors of the theory that feature instantons, let us briefly review the topologically trivial vacuum phases of the spin chain (3) discussed in [23] and more recently in [36]. Obviously, these vacua are completely characterized by the couplings µ, κ and B.…”
Section: A Instanton Sectorsmentioning
confidence: 99%