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

Federico L. Bottesi¹, Guillermo R. Zemba^1,2*

¹Facultad de Ingeniería, Pontificia Universidad Católica Argentina, Buenos Aires, Argentina.
²Physics Department, Comisión Nacional de Energía Atómica, Buenos Aires, Argentina.

DOI: 10.4236/jmp.2015.65069                

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).

Keywords

Mott Transition, Conformal Field Theory, Chern-Simons Theory, Effective Field Theory, Quantum Groups, Integrable Models, Strongly Correlated Electrons

Conflicts of Interest

The authors declare no conflicts of interest.

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