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Condensed Matter & Materials Physics

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Condensed Matter & Materials Physics

Band Gap

The energy range in a solid where no electronic quantum states can exist, separating the top of the valence band from the bottom of the…

E_g = E_c - E_v = h ν_threshold eV (Electron-Volts)
Condensed Matter & Materials Physics

BCS Theory

The microscopic quantum theory of superconductivity developed by Bardeen, Cooper, and Schrieffer in 1957.

2 Δ(0) ≈ 3.52 k_B T_c, E_gap = 2 Δ K (Critical Temperature T_c)
Condensed Matter & Materials Physics

Bloch's Theorem

A fundamental theorem of solid-state physics stating that wave functions for electrons in a periodic crystal potential equal plane waves…

ψ_k(r) = e^(i k · r) u_k(r), u_k(r + R) = u_k(r) Quantum Wave Function State
Condensed Matter & Materials Physics

Brillouin Zone

The uniquely defined fundamental primitive cell in reciprocal wavevector k-space containing all unique electronic and vibrational wave…

First BZ: Wigner-Seitz cell in reciprocal lattice space m⁻¹ (Reciprocal Wavevector k)
Condensed Matter & Materials Physics

Bulk Modulus

A mechanical material property measuring a solid or fluid's resistance to uniform volumetric compression under applied hydrostatic pressure.

K = -V (dP / dV) Pa or GPa (Gigapascals)