Fermi surface renormalization and confinement in two coupled metallic chains

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dc.creatorLedowski, Sascha
dc.creatorKopietz, Peter
dc.date2006-08-04
dc.date2007-02-01
dc.date.accessioned2026-07-07T07:43:57Z
dc.date.available2026-07-07T07:43:57Z
dc.descriptionUsing a non-perturbative functional renormalization group approach involving both fermionic and bosonic fields we calculate the interaction-induced change of the Fermi surface of spinless fermions moving on two chains connected by weak interchain hopping t_{bot}. We show that interchain backscattering can strongly reduce the distance Delta between the Fermi momenta associated with the bonding and the antibonding band, corresponding to a large reduction of the effective interchain hopping t_{bot}^{*} A self-consistent one-loop approximation neglecting marginal vertex corrections and wave-function renormalizations predicts a confinement transition for sufficiently large interchain backscattering, where the renormalized t_{bot}^{*} vanishes. However, a more accurate calculation taking vertex corrections and wave-function renormalizations into account predicts only weak confinement in the sense that 0< | t_{bot}^{*} | << | t_{bot} |. Our method can be applied to other strong-coupling problems where the dominant scattering channel is known.
dc.description15 RevTex pages, 11 figures; final version as published in Phys. Rev. B; changes: figure with weak coupling RG flow added; more extensive discussion of previous work added; some references added
dc.identifierhttps://arxiv.org/abs/cond-mat/0608119
dc.identifierhttp://arxiv.org/abs/cond-mat/0608119
dc.identifierPhys. Rev. B 75, 045134 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.045134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123024
dc.subjectStrongly Correlated Electrons
dc.titleFermi surface renormalization and confinement in two coupled metallic chains
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