Doping induced inhomogeneity in high-Tc superconductors

Doping and disorder are inseparable in the superconducting cuprates. Assuming the simplest possible disordered doping, we construct a semiphenomenological model and analyze its experimental consequences. Among the affected experimental quantities are the ARPES spectra and thermodynamic properties. From our model we make a prediction for the width of the local superconducting gap distribution with the only experimentally unknown parameter being the superconducting correlation length. Thus, our model provides a direct way of determining the superconducting correlation length from a known experimental gap distribution.Comment: 5 pages, 3 eps figures. Expanded version of talk presented by AVB at the ISS 2000, Oct 14-16, Tokyo, Japa

A possible explanation of the phase diagram of cuprate superconductors

A d-p pairing curve that is consistent with the pseudogap curve observed in experiments is found on a d-p model on phonon mechanism. On the discovery we suggest that there are two pseudogaps associated with the nearly localized d-p pairs and nearly free p-p pairs. The p-p pairs look like bosons and are responsible for superconductivities.Comment: 6 pages, 3 figure

Electronic Theory for Bilayer-Effects in High-T_c Superconductors

The normal and the superconducting state of two coupled CuO_2 layers in the High-T_c superconductors are investigated by using the bilayer Hubbard model, the FLEX approximation on the real frequency axis and the Eliashberg theory. We find that the planes are antiferromagnetically correlated which leads to a strongly enhanced shadow band formation. Furthermore, the inter-layer hopping is renormalized which causes a blocking of the quasi particle inter-plane transfer for low doping concentrations. Finally, the superconducting order parameter is found to have a d_{x^2-y^2} symmetry with significant additional inter-layer contributions.Comment: 5 pages, Revtex, 4 postscript figure

Luttinger theorem for a spin-density-wave state

We obtained the analog of the Luttinger relation for a commensurate spin-density-wave state. We show that while the relation between the area of the occupied states and the density of particles gets modified in a simple and predictable way when the system becomes ordered, a perturbative consideration of the Luttinger theorem does not work due to the presence of an anomaly similar to the chiral anomaly in quantum electrodynamics.Comment: 4 pages, RevTeX, 1 figure embedded in the text, ps-file is also available at http://lifshitz.physics.wisc.edu/www/morr/morr_homepage.htm

Commensurate and Incommensurate Spin Fluctuations in YBa_2Cu_3O_{6+y}

We present an interpretation of the recent neutron data on the commensurate and incommensurate spin fluctuations found in YBa_2d$Cu_3O_{6+y} based on a special configuration of the electronic dispersion and intervention from the d_{x^2-y^2}-wave superconducting phase. The observed switch over between the commensurate and incommensurate fluctuation spectra at the change of frequency or temperature is naturally accounted within this scenario.Comment: 4 pages and 4 fig

Low temperature thermodynamics of charged bosons in a random potential and the specific heat of La_{2-x}Sr_{x}CuO_{4} below Tc

We propose a simple analytical form of the partition function for charged bosons localised in a random potential and derive the consequent thermodynamics below the superfluid transition temperature. In the low temperature limit, the specific heat, C, depends on the localisation length exponent nu: C is linear for nu1 we find C proportional to T^{1/nu}. This unusual sub-linear temperature dependence of the specific heat has recently been observed in La_{2-x}Sr_{x}CuO_{4} below Tc.Comment: Revtex, 6 pages, 4 postscript figure

On the vertex corrections in antiferromagnetic spin fluctuation theories

We argue that recent calculations by Amin and Stamp (PRL 77, 301 (1996); cond-mat/9601086) overestimate the strength of the vertex corrections in the spin-fermion model for cuprates. We clarify the physical origin of the apparent discrepancy between their results and earlier calculations. We also comment on the relative sign of the vertex correction.Comment: 3 pages, Revtex, 1 figure, ps-file also available at http://lifshitz.physics.wisc.edu/www/morr/morr_homepage.htm

Normal-state pseudogap and electron flat dispersion in copper oxide materials

The anomalous momentum and doping dependence of the electron spectral function and electron dispersion for copper oxide materials in the underdoped regime are studied within the t-J model. It is shown that the electron spectrum is changed with dopings, and the electron dispersion exhibits a flat band around ($\pi$,0) point in the Brillouin zone, which leads to the normal-state pseudogap formation. The theoretical results are consistent with the experiments and numerical simulations.Comment: 13 pages, Latex, Two figures are included, accepted for publication in Phys. Lett.

Quasiparticle dispersion of the t-J and Hubbard models

The spectral weight ${\rm A({\bf p},\omega)}$ of the two dimensional ${\rm t-J}$ and Hubbard models has been calculated using exact diagonalization and quantum Monte Carlo techniques, at several densities ${\rm 1.0 \leq \langle n \rangle \leq 0.5}$. The photoemission $(\omega < 0)$ region contains two dominant distinct features, namely a low-energy quasiparticle peak with bandwidth of order J, and a broad valence band peak at energies of order t. This behavior $persists$ away from half-filling, as long as the antiferromagnetic (AF) correlations are robust. The results give support to theories of the copper oxide materials based on the behavior of holes in antiferromagnets, and it also provides theoretical guidance for the interpretation of experimental photoemission data for the cuprates.Comment: (minor changes) RevTeX, 4 figures available on reques