Mathematica.zip

URL: https://data.uni-hannover.de/dataset/78d4bbd5-17e4-4f84-84c2-51cd77a7ab07/resource/443fe168-4a60-4b41-bbf7-fa6cfa4080f3/download/mathematica.zip

This Mathematica notebook was used for all the numerical computations for the "Condensation of non-Abelian $SU(3)_Nf$ anyons in a one-dimensional fermion model" paper.

How to use it: 1) Set an anisotropy parameter. 2) Set the range and discretization of the rapidity \lambda. 3) Run the "Compute string" part. It computes all the allowed strings for the given anisotropy parameter. 4) Run "Define kernels". This defines all the kernels of the integral equations for the given anisotropy parameter. 5) Run "Numerical Fourier transformation and useful functions". This defines all the necessary functions for fast Fourier transformations. 6) Use the part "Solving integral equations by iteration" to define functions that solve the integral equations of the dressed energies. These differ depending on whether the derivative with respect to the external field or the temperature are needed. 7) The remaining parts are used to compute specific physical quantities of the perturbed SU(3)_Nf WZNW model. 8) Part "High temperature asymptotics of SU(3) spin chain" was used to check whether the correct high-temperature behavior of the entropy is found. For the SU(3) case this showed us that we have not found all solutions of the Bethe equations describing the high temperature behavior of the model.

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Cite this as

Daniel Borcherding, Holger Frahm (2019). Dataset: Condensation of non-Abelian $SU(3)_{N_f}$ anyons in a one-dimensional fermion model. Resource: Mathematica.zip. https://doi.org/10.25835/0042110

DOI retrieved: 19:53 02 Mar 2021 (GMT)

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Data last updated March 18, 2019
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