# Memória de Pista de Skyrmions Magnéticos

Espintrônica topológica interativa: skyrmions de Dzyaloshinskii-Moriya impulsionados por pulsos de corrente ultrabaixa ao longo de uma nanopista — operações de escrita, deslocamento e leitura de bits com efeito Hall de skyrmion e diagnóstico de pinning.

> Página canônica: https://elysiatools.com/pt/visualizations/skyrmion-racetrack-memory

- **Categoria:** Physics

## Visão geral

Interactive topological spintronics — distinct from the existing spin-ice-magnetic-monopole-walk (spin-ice emergent monopoles, a lattice-frustration case) and topological-quantum-walks (quantum walk algorithm, a quantum-computation case); this is the only case treating real 2D topological spin textures in chiral magnets and their flagship device application. The model implements the full ultrathin-film micromagnetics of Rohart & Thiaville (PRB 88, 184412): K_eff = K_u − μ0M_s²/2, domain-wall width Δ = √(A/K_eff), critical DMI D_c = 4√(A·K_eff)/π where the wall energy σ = 4√(A·K_eff) − πD vanishes, and the helical period L_D = 4πA/D. The skyrmion is the circular 360°-domain-wall ansatz θ(r) = θc·atan(exp((R−r)/w))/(π/2) whose energy (exchange + curvature + DMI + anisotropy + Zeeman) is numerically integrated; the metastable radius R comes from a two-parameter (R, w) variational minimization — R grows toward D_c, shrinks under field, and the ansatz topological charge Q = (1/4π)∫m·(∂ₓm×∂ᵧm)dxdy = −1 is verified on a grid (96–360 points adaptively resolved to the wall width). The field window uses the bubble-collapse saturation scale B_sat = 2.5·κ²·K_eff/M_s, placing MnSi-like and FeGe-like parameters at their measured ~0.3 T collapse fields. Current drive follows Sampaio et al. via the spin-drift velocity u = P·μ_B·j/(2e·M_s) (u in m/s is numerically nm/ns), and every on-track skyrmion obeys the rigid Thiele equation G ẑ×(v−u) + D̃(v−βu) = F with gyrovector G = 4πQ (skyrmion Hall effect), solved as a 2×2 linear system per substep over forces: stiff edge confinement (rails), Gaussian pinning wells (disorder), and short-range skyrmion–skyrmion repulsion (packing). Four visualization panels: (1) The nanotrack top view with per-pixel spin-texture rendering (ImageData) — hue = in-plane spin angle (the radial Néel colour wheel), lightness = m_z (dark core −1), with write (green) / read (gold) gates, pinning-site dots, fading trajectory trails that show the Hall deflection and edge sliding, and animated current chevrons during pulses. (2) Drift-velocity-vs-current plot: the strictly linear no-threshold Thiele response (the ~10⁶ A/m² ultralow-current advantage over domain walls) with the pinned window below j_c shaded when disorder is present. (3) B–D/D_c phase diagram with the saturation curve, the κ=1 stripe boundary, skyrmion/stripe/saturated regions shaded, and the live operating point. (4) TMR read-head signal strip: a spike for every skyrmion passing the read gate — the serial bit stream. Full device operations: Write bit (nucleation at the gate with spacing enforcement), Shift pulse (timed current pulse), Auto stream (random bit stream), Clear; skyrmions annihilate at the end gate after being read. Four material presets (Pt/Co/Ta, Co/Pt high-D, FeGe plate, MnSi) and three scenarios (clean track, disordered — pinning until j > j_c then topologically protected escape, bit stream). Adjustable parameters: field B (0–3 T), current density j (10⁶–10¹² A/m², log), DMI ratio D/D_c (0.3–1.05), disorder density (0–100%), pin strength. Real-time diagnostics: regime badge (isolated/stripe/saturated), radius R, topological charge, wall width, helical period, B_sat, skyrmion count, drift speed, skyrmion Hall angle, depinning threshold j_c, sim clock, and the read bit register. Educational content covers the Néel texture and DMI chirality locking, the micromagnetic length scales, the topological charge, the Thiele equation and skyrmion Hall effect with edge-guided motion, the racetrack write/shift/read/delete architecture and density/energy arguments, and topological protection vs pinning (the deformation-around-defects picture and edge annihilation). Multi-language support (zh, en, es, fr, de, ru, pt).

## Conteúdo relacionado

- [Reação de Ordem Zero - Visualização Interativa](https://elysiatools.com/pt/visualizations/zero-order-reaction): Visualização interativa da cinética de reação de ordem zero e mudanças de concentração ao longo do tempo
- [Reação de Primeira Ordem - Visualização Interativa](https://elysiatools.com/pt/visualizations/first-order-reaction): Visualização interativa da cinética de reação de primeira ordem e do decaimento exponencial de concentração
- [Reação de Segunda Ordem - Visualização Interativa](https://elysiatools.com/pt/visualizations/second-order-reaction): Visualização interativa da cinética de reação de segunda ordem e da dinâmica de colisão bimolecular
- [Equação de Arrhenius](https://elysiatools.com/pt/visualizations/arrhenius-equation): Visualização interativa do efeito da temperatura na velocidade da reação - Explore energia de ativação, fator pré-exponencial e constante de velocidade
- [Reação Reversível](https://elysiatools.com/pt/visualizations/reversible-reaction): Visualização interativa da cinética de reação reversível A ⇌ B - Explore taxas de reação, constante de equilíbrio e mudanças de concentração
- [Reação Consecutiva](https://elysiatools.com/pt/visualizations/consecutive-reaction): Visualização interativa da cinética de reação consecutiva A → B → C - Explore picos de concentração intermediária
- [Reação em Cadeia](https://elysiatools.com/pt/visualizations/chain-reaction): Visualização interativa da polimerização radical em cadeia
- [Princípio de Le Chatelier](https://elysiatools.com/pt/visualizations/le-chateliers-principle): Visualização interativa do princípio de Le Chatelier - Explore como mudanças de concentração, pressão e temperatura afetam o equilíbrio químico