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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.

Models

Five orbital model for LiFeAs obtained from a fit to ARPES data, hoppings modified such that the electronic structure at kz=pi is captured in a 2D model. If you use the data provided here, please cite the original work that published the tight binding parameters:
Y. Wang, A. Kreisel, V. B. Zabolotnyy, S. V. Borisenko, B. Büchner, T. A. Maier, P. J. Hirschfeld, D. J. Scalapino
Phys. Rev. B 88, 174516 (2013)
Superconducting gap in LiFeAs from three dimensional spin fluctuation pairing calculations
This model has also been used for further calculations here:
A. Kreisel, Brian M. Andersen, Peter O. Sprau, Andrey Kostin, J.C. Séamus Davis, P. J. Hirschfeld
Phys. Rev. B 95, 174516 (2016)
Orbital selective pairing and gap structures of iron-based superconductors

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Download model and figures: 5_band_LiFeAs_ARPES_2D_kz_1.tar.gz

LiFeAs_ARPES_5_2D_kz_1Fermisurf_1.png
LiFeAs_ARPES_5_2D_kz_1Gammakkp5_LiFeAs_ARPES_5_dress_1433txtcGapfunction_1.png

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