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Chapter 3
k ⋅ p Hamiltonian and Subband Wave Functions

”Arise! Awake! and stop not until the goal is reached.”
Swami Vivekananda

In this chapter the effect of the shear strain εxy on the relaxed silicon band structure is explained, and then the effective k ⋅ p Hamiltonian with εxy and properly included spin-orbit interaction is introduced. The wave functions and the valley splitting are investigated.

 3.1 Silicon Lattice
 3.2 Effect of Strain on Silicon Band Structure
  3.2.1 Unstrained Silicon
  3.2.2 Strained Silicon
 3.3 Two-Band k ⋅ p Hamiltonian of [001] Valley at the X-Point
 3.4 Wave Functions: Analytical Form
 3.5 Valley Splitting by Shear Strain
V alley at the X-Point]

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