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Tight binding models for high temperature superconductors

This page lists a set of tight-binding models that are suitable to describe high temperature superconductors

Some of the models have been compiled from the literature for comparison, others are calculated using first principles calculations or adjusted to match experimental measured quantities.
For each model, the hopping parameters are given in a comma separated file (csv), and basic plots of the band structure and Fermi surface are provided for comparison. The tight-binding file contains lines with the following format:
rx, ry, rz, a, b, Re(t), Im(t)
Here ri is the i-th component of the real space vector that describes the hopping process, a and b are integer numbers labeling the orbitals and the last two entries are the real and imaginary part of the hopping (usually given in eV).
The corresponding Bloch Hamiltonian (in orbital representation) can be obtained by a Fourier transform and summation over all lines to yield the matrix Hab.


Directory up
Simple 1 band tight binding model with nearest and next nearest neighbor hoppings that has been used here:
Thermodynamic transitions in inhomogeneous d-wave superconductors Brian M. Andersen, Ashot Melikyan, Tamara S. Nunner, and P. J. Hirschfeld
Phys. Rev. B 74, 060501(R) (2006)
Thermodynamic transitions in inhomogeneous d-wave superconductors

Download model and figures: 1band_bma.tar.gz

Fermi surface as typical for one band models with nearest neighbor and next nearest neighbor hoppings.
Density of states calculated using a rougth k-grid.