🧲 BZ Oscillation Calculator

Brown-Zak oscillation analysis in graphene superlattices via linear regression

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📊 Magnetic Field Data — Brown-Zak Oscillations

Enter magnetic field values (in Tesla) at oscillation peaks, one per line:

📖 Formula (Linear Regression Method)

Constants:

h = 6.62607 × 10−34 J·s  |  e = 1.60 × 10−19 C

Steps:

  1. Compute reciprocal for each field: 1/B
  2. Linear regression: y = a + bx, where x = index, y = 1/B
  3. Slope b = best estimate of Δ(1/B)
  4. Wavelength: L = √(b × h / e / 0.86603) × 109 (nm)
  5. Angle: L = 0.246 / (2 × sin(A × π / 360))

The linear regression method provides a robust estimate of the Brown-Zak oscillation period Δ(1/B), from which the superlattice wavelength and twist angle are derived.