Origin of the Mott Gap

Details Origin of the Mott Gap Origin of the Mott Gap

2008-12-02

arxiv.org/abs/0812.0593v2

Phys. Rev. B, vol. 79, 245120 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 2 figures: Expanded Published version

Scientific paper

We show exactly that the only charged excitations that exist in the strong-coupling limit of the half-filled Hubbard model are gapped composite excitations generated by the dynamics of the charge $2e$ boson that appears upon explicit integration of the high-energy scale. At every momentum, such excitations have non-zero spectral weight at two distinct energy scales separated by the on-site repulsion $U$. The result is a gap in the spectrum for the composite excitations accompanied by a discontinuous vanishing of the density of states at the chemical potential when $U$ exceeds the bandwidth. Consequently, we resolve the long-standing problem of the cause of the charge gap in a half-filled band in the absence of symmetry breaking.

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