TITLE:
Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
AUTHORS:
Federico L. Bottesi, Guillermo R. Zemba
KEYWORDS:
Mott Transition, Conformal Field Theory, Chern-Simons Theory, Effective Field Theory, Quantum Groups, Integrable Models, Strongly Correlated Electrons
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.5,
April
21,
2015
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).