Particle-hole symmetry of a Bogoliubov--de Gennes Hamiltonian
= Particle-hole symmetry of a Bogoliubov--de Gennes Hamiltonian
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Particle-hole symmetry relates $H_{\rm BdG}(k)$ to $-H_{\rm BdG}^*(-k)$. Consequently every energy $E$ at momentum $k$ is paired with energy $-E$ at momentum $-k$.