Insulator, conductor, and commensurability: a topological approach.

نویسنده

  • Masaki Oshikawa
چکیده

I discuss a topological relation of the conduction property of a many-particle system on a periodic lattice at zero temperature to the energy spectrum. When the particle number per unit cell is an irreducible fraction p/q, an insulator must have q low-lying states of energy O(1/L) in one dimension and of energy O(1) in two dimensions, where L is the linear system size.

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عنوان ژورنال:
  • Physical review letters

دوره 90 23  شماره 

صفحات  -

تاریخ انتشار 2003