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Source data of Green's function and figure files.

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posted on 2019-10-30, 08:41 authored by HO KIN TANGHO KIN TANG

In the article of " Universal Fermi-surface anisotropy renormalization for interacting Dirac fermions with long-range interactions", we present the analysis of the unequal time Green's function to find the renormalized energy as well as the anisotropy of the energy surface. This link provide both the source data of Green's function and the .fig files in the article.


This matlab data file includes the source data of unequal time Green's function for every parameters we simulated in projective quantum Monte Carlo. We study the fermionic model with the on-site Hubbard U and the long range Coulomb interaction r_s on honeycomb lattice and \pi-flux model with y-axis hopping magnitude t_y.

We put the Green function of honeycomb lattice in datGF_hc.mat and the Green function of \pi-flux model in datGF_pi.mat.


The file contain a list of three levels. In the first level of the list, we classify the data according to the parameter \gamma, U and lattice size L. In second level, we list out all the Green's function (G_k(tau)=) of momentum k=(kx,ky) for the addition between conduction band and valence band, assuming the particle-hole symmetry. In our simulation, we find G(tau=0 to 10) in the imaginary time interval of 0.1. The Green function format is that the first column is tau label, the second column is the Green's function, and the third column is the error estimation of the Green's function.


For example, if we search the unequal time Green's function of valence band at the Dirac point (4.18,0) for rs=1/6, U=1 and lattice size L=15. We can access by datGF{9,4}{226,3}, which gives the Green's function and associated error in term of imaginary time. The Green's function here are calculated by averaging the data bins in converged Monte Carlo process.

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