Z_2-slave-spin theory for strongly correlated fermions

Details Z_2-slave-spin theory for strongly correlated fermions Z_2-slave-spin theory for strongly correlated fermions

2009-12-18

arxiv.org/abs/0912.3801v2

Phys. Rev. B 81, 155118 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 7 figures

Scientific paper

10.1103/PhysRevB.81.155118

We review a representation of Hubbard-like models that is based on auxiliary pseudospin variables. These pseudospins refer to the local charge modulo two in the original model and display a local Z_2 gauge freedom. We discuss the associated mean-field theory in a variety of different contexts which are related to the problem of the interaction-driven metal-insulator transition at half-filling including Fermi surface deformation and spectral features beyond the local approximation. Notably, on the mean-field level, the Hubbard bands are derived from the excitations of an Ising model in a transverse field and the quantum critical point of this model is identified with the Brinkman-Rice criticality of the almost localized Fermi liquid state. Non-local correlations are included using a cluster mean-field approximation and the Schwinger boson theory for the auxiliary quantum Ising model.

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