Landau Levels Calculator
Calculate quantized energy levels in magnetic fields
About Landau Levels
Landau levels are quantized cyclotron orbits of charged particles in a magnetic field. They are essential for understanding the quantum Hall effect and magnetotransport in 2D systems.
Key Formulas:
- En = ℏωc(n + ½) ± ½gμBB (2DEG)
- En = vF√(2eℏBn) (graphene)
- ωc = eB/m* (cyclotron frequency)
- lB = √(ℏ/eB) (magnetic length)
- ν = nsh/(eB) (filling factor)
Applications:
- Integer quantum Hall effect
- Fractional quantum Hall effect
- Cyclotron resonance spectroscopy
- Resistance standard (h/e²)