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arXiv · 1504.05772

Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping

Federico L. Bottesi·Guillermo R. Zemba
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Abstract

We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).

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Federico L. Bottesi, Guillermo R. Zemba. 2015-04-22. Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping. https://doi.org/10.4236/jmp.2015.65069

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