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ELECTRONIC BOUND STATES IN PARITY-PRESERVING QED₃ APPLIED TO HIGH-T_c CUPRATE SUPERCONDUCTORS

Centro Brasileiro de Pesquisas Físicas (CBPF), Coordenação de Teoria de Campos e Partículas (CCP), Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil

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O. M. DEL CIMA

Grupo de Física Teórica (GFT), Universidade Católica de Petrópolis (UCP), Rua Barão do Amazonas 124, 25685-070, Petrópolis, RJ, Brazil

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M. M. FERREIRA, Jr.

Centro Brasileiro de Pesquisas Físicas (CBPF), Coordenação de Teoria de Campos e Partículas (CCP), Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil

Universidade Federal do Maranhão (UFMA), Departamento de Física, Campus Universitário do Bacanga, 65085-580, São Luiz, MA, Brazil

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, and

J. A. HELAYËL-NETO

Grupo de Física Teórica (GFT), Universidade Católica de Petrópolis (UCP), Rua Barão do Amazonas 124, 25685-070, Petrópolis, RJ, Brazil

Centro Brasileiro de Pesquisas Físicas (CBPF), Coordenação de Teoria de Campos e Partículas (CCP), Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil

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https://doi.org/10.1142/S0217751X03013703Cited by:14 (Source: Crossref)

Abstract

We consider a parity-preserving QED₃ model with spontaneous breaking of the gauge symmetry as a framework for the evaluation of the electron–electron interaction potential underlying high-T_c superconductivity. The fact that the resulting potential, -C_sK₀(Mr), is non-confining and "weak" (in the sense of Kato) strongly suggests the mechanism of pair-condensation. This potential, compatible with an s-wave order parameter, is then applied to the Schrödinger equation for the sake of numerical calculations, thereby enforcing the existence of bound states. The results worked out by means of our theoretical framework are checked by considering a number of phenomenological data extracted from different copper oxide superconductors. The agreement may motivate a deeper analysis of our model viewing an application to quasiplanar cuprate superconductors. The data analyzed here suggest an energy scale of 1–10 meV for the breaking of the U(1)-symmetry.

Keywords:

PACS: 11.10.Kk, 11.15.-q, 11.15.Ex, 11.80.-m

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