Generic gauge fields in the Hubbard model: emergence of pairing interaction

Details Generic gauge fields in the Hubbard model: emergence of pairing interaction Generic gauge fields in the Hubbard model: emergence of pairing interaction

2006-05-05

arxiv.org/abs/cond-mat/0605129v1

Phys. Rev. B 73, 132512 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4+ pages

Scientific paper

10.1103/PhysRevB.73.132512

The spin-rotationally invariant SU(2) approach to the Hubbard model is extended to accommodate the charge degrees of freedom. Both U(1) and SU(2) gauge transformation are useed to factorize the charge and spin contribution to the original electron operator in terms of the emergent gauge fields. It is shown that these fields play a similar role as phonons in the BCS theory: they provide the "glue" for fermion pairing. By tracing out gauge bosons the form of paired states is established and the role of antiferromagnetic correlations is explicated.

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