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

Abstract

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.

arXiv comment4+ pages

References in corpus (3)

• Confinement of Slave-Particles in U(1) Gauge Theories of Strongly-Interacting Electrons
• The Full Mottness
• Critical charge instability on verge of the Mott transition and the origin of quantum protection in high-$T_c$ cuprates

Cited by in corpus (4)

• Excitonic phase transition in the extended three-dimensional Falicov-Kimball model
• Probing phase coherence via density of states for strongly correlated excitons
• Effective pairing interaction in the two-dimensional Hubbard model within a spin rotationally invariant approach
• Spin-charge rotating local reference frames: a unified U(2)=U(1)xSU(2) approach to the interacting electrons