Hi. What I'm trying to do is to obtain the energy spectrum from the following dispersion relation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]E^4-A·E^3+B·E^2-C·E+D-F·E^2·cos(k·a_0)^2+G·E·cos(k·a_0)^2-H·cos(k·a_0)^2 = 0[/tex]

where E is the energy, k is the wave vector and a0 the distance between adjacent neighbors in a 1-Dimensional lattice with a two-atom basis, with some weird on-site energies.

Given the following model parameters:

A = -48.37528081

B = +877.6426691

C = -7077.321036

D = +21403.79575

F = -0.00002232761528

G = +0.0005479196789

H = -0.003361487230

I keep getting imaginary energies! What I do is simply solve the equation for E given some values for k. Am I doing it wrong? Or the parameters must be wrong? Please help! :(

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# Energy spectrum from dispersion relation E(k)

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