Abstract
Quantized massive gauge fields, which might mediate Cooper pair formation, have been presented as collective modes, which contain effects of spin fluctuation, charge fluctuation, and phonon, around doped holes from the viewpoint of adjacent interactions. Taking into account the restoration of spontaneous symmetry breaking, we have discussed the anomalous properties in the strange metal phase and the quantum criticality in high-\(T_\mathrm{c}\) cuprates. The present theoretical-formula satisfies both renormalization and unitalization conditions.
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Campuzano, J.C., et al.: Electronic spectra and their relation to the (\(\pi \), \(\pi \)) collective mode in high-\(T_{\rm c}\) superconductors. Phys. Rev. Lett. 83, 3709 (1999)
Miyakawa, N., et al.: Strong dependence of the superconducting gap on oxygen doping from tunneling measurements on Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_{8\delta }\). Phys. Rev. Lett. 80, 157 (1998)
Norman, M.R., et al.: Destruction of the Fermi surface in underdoped high-\(T_{\rm c}\) superconductors. Nature 329, 157 (1998)
Anderson, P.W.: The resonating valence bond state in La\(_2\)CuO\(_4\) and superconductivity. Science 235, 1196 (1987)
Emery, V.J., Kivelson, S.A.: Importance of phase fluctuations in superconductors with small superfluid density. Nature 374, 434 (1995)
Chakravarty, S., et al.: Hidden order in the cuprates. Phys. Rev. B 63, 094503 (2001)
Hanaguri, T., et al.: A ‘checkerboard’ electronic crystal state in lightly hole-doped Ca\(_{2-x}\)Na\(_x\)CuO\(_2\)Cl\(_2\). Nature 430, 1001 (2004)
Wise, W.D., et al.: Charge-density-wave origin of cuprate checkerboard visualized by scanning tunnelling microscopy. Nat. Phys. 4, 696 (2008)
Kamimura, H., Hamada, T., Ushio, H.: Theoretical exploration of electronic structure in cuprates from electronic entropy. Phys. Rev. B 66, 054504 (2002)
Prelovŝek, P., Ramŝak, A.: Spectral functions, Fermi surface, and pseudogap in the \(t-J\) model. Phys. Rev. B 65, 174529 (2002)
Tanaka, K., et al.: Distinct Fermi-momentum-dependent energy gaps in deeply underdoped Bi2212. Science 314, 1910 (2006)
Lee, W.S., et al.: Abrupt onset of a second energy gap at the superconducting transition of underdoped Bi2212. Nature 450, 81 (2007)
Kanazawa, I.: Gauge field and high-\(T_{\rm c}\) superconductivity. Phys. C 185–189, 1703 (1991)
Kanazawa, I.: Quantized massive collective excitations, short-range spin fluctuations and high-\(T_{\rm c}\) superconductivity. J. Phys. A 36, 9371 (2003)
Kanazawa, I.: Anomalous properties and quantized massive gauge fields in high-\(T_{\rm c}\) cuprates. J. Phys. Conf. Ser. 108, 012013 (2008)
Kanazawa, I.: Anomalous transport properties and T-evolution of Fermi arc in underdoped cuprates. J. Phys. Soc. Jpn. 74(Suppl), 200 (2005)
Kanazawa, I.: Temperature dependence of anomalous transport properties and restoration of symmetry breaking in underdoped cuprates. J. Phys. Chem. Solids 66, 1388 (2005)
Kanazawa, I.: The evolution mechanism of Fermi arc with increasing of hole-doping in high-\(T_{\rm c}\) cuprates. Phys. C 470, S183 (2010)
Kanazawa, I., Sasaki, T.: Quantized massive collective modes and temperature dependence of the energy distribution curves in High-\(T_{\rm c}\) cuprates. JPS Conf. Proc. 3, 015016 (2014)
Kanazawa, I., Sasaki, T.: Quantized massive collective modes and massive spin fluctuations in high-\(T_{\rm c}\) cuprates. Phys. Scr. T165, 014038 (2015)
Dipasupil, R.M., et al.: Energy gap evolution in the tunneling spectra of Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_{8+\delta }\). J. Phys. Soc. Jpn. 71, 1535 (2002)
Affleck, I., et al.: SU(2) gauge symmetry of the large-\(U\) limit of the Hubbard model. Phys. Rev. B 38, 745 (1988)
Kadanoff, L.P., Ceva, H.: Determination of an operator algebra for the two-dimensional ising model. Phys. Rev. B 3, 3918 (1971)
Hooft, G.: On the phase transition towards permanent quark confinement. Nucl. Phys. B 138, 1 (1978)
Becchi, C., Rouet, A., Stora, R.: Renormalization of the abelian Higgs–Kibble model. Commun. Math. Phys. 42, 127 (1975)
Kugo, T., Ojima, I.: Local covariant operator formalism of non-abelian gauge theories and quark confinement problem. Prog. Theor. Phys. Suppl. 66, 1 (1979)
Yazdani, A.: Visualizing pair formation on the atomic scale and the search for the mechanism of superconductivity in high-\(T_{\rm c}\) cuprates. J. Phys. Condensed Matter 21, 164214 (2009)
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Kanazawa, I., Maeda, R. Quantized massive-collective gauge fields and anomalous properties in high-\(T_\mathrm{c}\) cuprates. Quantum Stud.: Math. Found. 5, 141–147 (2018). https://doi.org/10.1007/s40509-017-0138-6
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DOI: https://doi.org/10.1007/s40509-017-0138-6