Particle–hole symmetries in condensed matter

  title={Particle–hole symmetries in condensed matter},
  author={Martin R. Zirnbauer},
  journal={arXiv: Mathematical Physics},
  • M. Zirnbauer
  • Published 15 April 2020
  • Physics
  • arXiv: Mathematical Physics
The term "particle-hole symmetry" is beset with conflicting meanings in contemporary physics. Conceived and written from a condensed-matter standpoint, the present paper aims to clarify and sharpen the terminology. In that vein, we propose to define the operation of "particle-hole conjugation" as the tautological algebra automorphism that simply swaps single-fermion creation and annihilation operators, and we construct its invariant lift to the Fock space. Particle-hole symmetries then arise… 

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