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Marginal Fermi-liquid state and pairing instability in a general model of copper-oxides
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ELSEVIER
PHYSICA Physica C 282-287 (1997) 264
E x t e n d e d Abstract Marginal Fermi-liquid copper-oxides
state and pairing instability in a general model of
C. M. Varma Bell Laboratories, Lucent Technologies 700 Mountain Avenue, M u r r a y Hill, N J 07974, USA
A model of copper-oxygen bonding and anti-bonding bands with the most general two-body interactions allowable by symmetry is systematically solved. The model has a continuous transition as a function of holedensity Z and temperature T to a phase in which a current circulates in each unit cell. This terminates at a quantum critical point at Z = Z~, T = 0. Near this point the logarithm of the frequency of the current fluctuations scales with their momentum. This appears necessary to derive the microscopic basis for the marginal Fermi liquid phenomenology and to understand the observed long wavelength transport anomalies near Z = Z~. They symmetry of the current fluctuations is such that the associated magnetic field fluctuations are absent at oxygen sites. Several experiments are proposed to test the theory. Details of this work are given in C. M. Varma, Phys. Rev. (to be published), available on http://www.lanl.gov as cond-mat/9607105. The application of the theory to NMR is given in C. M. Varma, Phys. Rev. Lett., 77, 3431 (1966). Effects of impurity scattering are given in Phys. Rev. Lett. (submitted/available on http://www.lanl.gov as condmatD703122.
0921-4534/97/$17.00 © Elsevier Science B.V. All fights reserved. PII S0921-4534(97)00246-3
ELSEVIER
PHYSICA Physica C 282-287 (1997) 264
E x t e n d e d Abstract Marginal Fermi-liquid copper-oxides
state and pairing instability in a general model of
C. M. Varma Bell Laboratories, Lucent Technologies 700 Mountain Avenue, M u r r a y Hill, N J 07974, USA
A model of copper-oxygen bonding and anti-bonding bands with the most general two-body interactions allowable by symmetry is systematically solved. The model has a continuous transition as a function of holedensity Z and temperature T to a phase in which a current circulates in each unit cell. This terminates at a quantum critical point at Z = Z~, T = 0. Near this point the logarithm of the frequency of the current fluctuations scales with their momentum. This appears necessary to derive the microscopic basis for the marginal Fermi liquid phenomenology and to understand the observed long wavelength transport anomalies near Z = Z~. They symmetry of the current fluctuations is such that the associated magnetic field fluctuations are absent at oxygen sites. Several experiments are proposed to test the theory. Details of this work are given in C. M. Varma, Phys. Rev. (to be published), available on http://www.lanl.gov as cond-mat/9607105. The application of the theory to NMR is given in C. M. Varma, Phys. Rev. Lett., 77, 3431 (1966). Effects of impurity scattering are given in Phys. Rev. Lett. (submitted/available on http://www.lanl.gov as condmatD703122.
0921-4534/97/$17.00 © Elsevier Science B.V. All fights reserved. PII S0921-4534(97)00246-3