Effective pairing interaction in the two-dimensional Hubbard model within a spin rotationally invariant approach

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dc.creatorApinyan, V. A.
dc.creatorKopec, T. K.
dc.date2008-12-08
dc.date.accessioned2026-07-07T12:10:13Z
dc.date.available2026-07-07T12:10:13Z
dc.descriptionWe implement the rotationally-invariant formulation of the two-dimensional Hubbard model, with nearest-neighbors hopping $t$, which allows for the analytical study of the system in the low-energy limit. Both U(1) and SU(2) gauge transformations are used to factorize the charge and spin contributions to the original electron operator in terms of the corresponding gauge fields. The Hubbard Coulomb energy $U$ term is then expressed in terms of quantum phase variables conjugate to the local charge and variable spin-quantization axis, providing a useful representation of strongly correlated systems. It is shown that these gauge fields play a similar role as phonons in the BCS theory: they act as the "glue" for fermion pairing. By tracing out gauge degrees of freedom, the form of paired states is established and the strength of the pairing potential is determined. It is found that the attractive pairing potential in the effective low-energy fermionic action is non-zero in a rather narrow range of $U/t$.
dc.description12 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0812.1461
dc.identifierhttp://arxiv.org/abs/0812.1461
dc.identifierPHYSICAL REVIEW B 78, 184511 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.184511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209872
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleEffective pairing interaction in the two-dimensional Hubbard model within a spin rotationally invariant approach
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