Insulator, conductor and commensurability: a topological approach

Details Insulator, conductor and commensurability: a topological approach Insulator, conductor and commensurability: a topological approach

2003-01-20

arxiv.org/abs/cond-mat/0301338v2

Phys. Rev. Lett. 90, 236401 (2003); Phys. Rev. Lett. 91, 109901(E) (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages (no figures) in REVTEX; revised version with minor corrections

Scientific paper

10.1103/PhysRevLett.90.236401 10

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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