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NewUniversity / research

Quantum Hall Edge States & σ_xy Plateaus

Integer QHE: chiral edge channels and skipping orbits in a Hall bar, filled Landau levels vs μ, and quantized Hall conductance plateaus σ_xy = ν_f e²/h.

Launch Simulator
NewUniversity / research

Drude–Sommerfeld Transport

Free-electron Drude model: scattering time τ, mobility μ, σ(ω), mean free path ℓ = v_Fτ, skin depth δ(ω), and DC Hall σ_xx(B), σ_xy(B).

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NewUniversity / research

2D Box: Eigenstates & Degeneracy

Particle in a 2-D rectangular infinite well: ψ_{n_x,n_y} ∝ sin(n_xπx/L_x)sin(n_yπy/L_y), E ∝ (n_x/L_x)² + (n_y/L_y)². Toggle a square box (L_x = L_y) to expose the (n_x, n_y) ↔ (n_y, n_x) accidental degeneracy and watch the doublets split as the box deforms.

Launch Simulator
NewUniversity / research

Landau Levels in a Magnetic Field

Charged particle in a uniform B-field: equally-spaced Landau ladder E_n = ℏω_c(n+½) with cyclotron frequency ω_c = qB/m, magnetic length ℓ_B = √(ℏ/qB) and orbit radius r_n = ℓ_B√(2n+1). Animated cyclotron orbit + linear-in-B fan diagram; the n_B = qB/h degeneracy underlies the quantum Hall effect.

Launch Simulator
NewSchool

Maxwell–Boltzmann vs Eₐ

Translational energy density f(E); shaded fraction above activation energy; compare Arrhenius exp(−Eₐ/RT).

Launch Simulator
NewSchool

Water P–T Phase Diagram

Qualitative fusion, sublimation, vapor pressure up to critical point — probe labeled regions (pedagogical curves).

Launch Simulator