ToolHub

Condensed Matter Calculator

Analyze band structure, phonon dispersion, and BCS superconductivity with one calculator. Switch unit systems, inspect calculated values, and visualize curves with interactive charts.

Use Cases

  • - Tight-binding and bandwidth quick checks
  • - Lattice dynamics and phonon frequency estimates
  • - BCS critical temperature and gap approximations
  • - Student and researcher sanity checks before simulation

Formulas Used

  • E(k) = e0 + 2t cos(ka), bandwidth = 4|t|
  • omega(k) = 2 * sqrt(k/M) * |sin(ka/2)|
  • T_c = 1.14 Theta_D exp(-1 / (N(E_F)V))
  • Delta(0) = 1.76 k_B T_c

Calculation History